Fuzzy Concept Lattice for Ontology Learning and Concept Classification

Total Page:16

File Type:pdf, Size:1020Kb

Fuzzy Concept Lattice for Ontology Learning and Concept Classification ISSN (Print) : 0974-6846 Indian Journal of Science and Technology, Vol 9(28), DOI: 10.17485/ijst/2016/v9i28/95135, July 2016 ISSN (Online) : 0974-5645 Fuzzy Concept Lattice for Ontology Learning and Concept Classification K. Selvi1* and R. M. Suresh2 1Sathyabama University, Sholinganallur, Chennai - 600119, Tamil Nadu, India; [email protected] 2Sri Lakshiammal Engineering College, Chennai.- 600126, Tamil Nadu, India; [email protected] Abstract Objective: Methods To discover the the new latent concept, which is significant to self-learning and machine learning. To better understand the conceptual relations of the query terms. : The application of Fuzzy Formal Concept to construct a Concept LatticeFindings: that better describes the semantic relations of incoming patterns for a collection of documents. There has been little work that evaluates the effect of various techniques and parameterApplications/Improvements: settings in the word space construction The results from corpora. The present paper experimentally investigates how the choice of a particular domain helps the user to discover the information which is much closer to his preferences. generated using our novel approach has been experimented for the context of finding the Sea side Schools based on user requirements. A comparision of related papers is performed to encounter the challenging issues of Ontology construction for text classification in Semantic Web. Keywords: Fuzzy Formal Concept Lattice, Machine Learning, Ontology, Semantic Web, Web Text Analysis 1. Introduction 1.1 Principles of Ontology Construction Ontology is defined as a lexical representation of seman- Ontology construction can be categorized into two tic relations that occur between word pairs which can be approaches. One is the bottom up approach that is represented as a conceptual model for any context. For widely used in mathematics and the other is the top expressing and processing knowledge, ontology plays a down approach that is most suitable for the domain with vital role in web text analysis tasks and widely used in objects and attributes4. In top down approach, the relation all machine learning algorithms. To process a language between the objects and attributes is fragmented on the is to understand and accurately apply its grammar. The basis of the object language for a particular domain that is context of lexis of an entity object for a particular field obtained by following the steps given below: consists of words that represent the properties and rela- • List the domain according to the context. tions of valid constants. We can articulate boundaries on • Find the prime lexis. the achievable value of predicates by using the axioms1. • Apply the grammar rules. Those axioms are used to identify the semantic relations • Include the secondary terms by intended defini- between the query terms, which will implicitly follow the tions. interpretation of these primary terms. At the other end, • Extend the depth of search by finding the tertiary the axioms find the set of possible interpretation of the terms. query words that match the formal scheme into the lexes Initially the lexemes required to form the language of the language. That is why Ontology is chosen to find descriptions for a given context are listed with a well- only related information. defined lexicon. As a next step, the axioms and predicates *Author for correspondence Fuzzy Concept Lattice for Ontology Learning and Concept Classification that match the selected lexemes are identified. The struc- document classification namely, the naive Bay’s classifier, tural properties of the given terms and their relations the nearest neighbourhood classifier, decision trees and are identified by applying the grammar rules. Using the a subspace method. These were applied to Yahoo news vocabulary of the primary terms, the secondary and groups like business, entertainment, health, international, tertiary terms are identified using the predicates of the politics, sports and technology individually and in com- individual terms in the domain. The formulation of axi- bination9. oms will use a variable that is representing an individual In10 proposed a Iceberg Concept Lattice which is a for example, if a is the daughter of b and b is the bother huge concept lattice that is clustered into small one based of c then c is the uncle of a, which is an axiom relating on concept clustering algorithm10–13, which is conducive the predicates Daughter Of, Brother Of and Uncle Of. a, b to concept lattice’s scaling and displaying. In14–17 identifies and c are here understood to characterize unnamed per- articles for a specific domain with the linked classification sons. The semantic relations among the terms are clearly information available in Wiki pages. But only a concept recognized with the structural properties specified in the hierarchy can be built for the available pages. In18,19 the above steps for all iterations. authors demonstrate how ontology helps in identifying clinical predictors for coronary heart disease. The depth 1.2 Ontology Construction Approaches of the conceptual expression is easily understood which help us in implementing operational aspect of the seman- Linguistic analysis: This method is a compilation hypoth- tic web. Classification is often used as a basis for many esis of a lexical dictionary where the pecking order of machine-learning applications. As a part of data security, conceptions is designed without human intervention. knowledge discovery and classification remain and work Lexical dictionaries possess words along with their syn- together during various query-processing steps21. Our onyms, root words, word origins, etc., which forms the proposed method enables attribute classification that basis for other construction methods. Combinations of several classifiers did not improve the classification accu- helps us to determine the facilities based on our require- racy as that of other individual classifier5. We tackle the ments. Data classification requires both manual process problem of information processing by an elegant way of and automatic tools to achieve high percentage of effi- 22 representing uncertainty in data. The objective of this ciency . ontology construction is to better understand the seman- The major criteria of fuzzy logic are fuzzy sets, lin- tic relations of the incoming patterns in machine learning guistic patchy, possibility distributions, and fuzzy if and to discover concepts and relation between the objects – then rules. Fuzziness or Degree of Uncertainty per- and its attributes. tains to the uncertainty associated with a system, i.e., the In6 finds the cluster index using c-means fuzzy clus- fact that nothing can be predicted with exact. Fuzzy set tering algorithm where is the maximum number theory incorporates a coherent basis for machine learn- of cluster partition for ‘n’ clusters which is not satisfac- ing and also forms an elegant, statistically well founded, tory for all context. In7 identifies the cancer cells using illustration of the improbability in the data. Subsequently fuzzy enhanced mammogram approach that took less the data that are to be operated are frequently impre- time compared to the existing methods. In8 classifies cise. Application of fuzzy set theory or its derivatives has documents based on concept and semantic relations become a common approach in recent years in all text by observing the activities and comparing with the fea- mining and machine learning techniques23–26. tures extracted accessed for the corresponding context in This paper is structured as follows. Next section con- which they occur. fers the need for Ontology Learning and explains how The lexical dictionary based method is restricted to the Concept Lattice is constructed briefly. In Section the category size of the word list and can therefore form 3, a survey of domain ontology’s and the role of Fuzzy domains having dissimilar scopes. This lexical diction- Concept is given with the various applications in the field ary based ontology has a formal portrayal which is not of Natural Language Processing. Successively, in Section pertained to a particular domain. After integrating with 4, the overview of the proposed method for constructing other methods an ontological framework is developed for concept lattices is accessible, followed by the comparative Ontology learning. There are four different techniques for study of interrelated methods used by various authors. 2 Vol 9 (28) | July 2016 | www.indjst.org Indian Journal of Science and Technology K. Selvi1 and R. M. Suresh Finally, Section 6 projects the views of how this work can #Rule 1: Concept Node → class be extended to generalize this technique for all domains. #Rule 2 :Extension collection of Concept → Instance of Class 2. Materials and Methods #Rule 3: Intension collection of Concept → Attribute of class Ontology provide a frequent indulgent of exclusive Figure 1. Conversion rules. domains that can be shared among people and particu- lar application systems. Many deficiencies still exists in Fuzzy Formal Concept Analysis is a overview of Fuzzy ontology. It is hard to find the granularity of ontology and Concept Analysis for exhibiting improbability of data. It the depth of concept expression. Moreover Formal con- is a binary table K = {G, M, I} called formal context, where cept analysis can help resolving the problem that ontology G is a set of Objects, M is a set of attributes and I represents is poor in describing the depth of information27.
Recommended publications
  • The State of the Art in Developing Fuzzy Ontologies: a Survey
    The State of the Art in Developing Fuzzy Ontologies: A Survey Zahra Riahi Samani1, Mehrnoush Shamsfard2, 1Faculty of Computer Science and Engineering, Shahid Beheshti University Email:[email protected] 1Faculty of Computer Science and Engineering, Shahid Beheshti University Email:[email protected] Abstract Conceptual formalism supported by typical ontologies may not be sufficient to represent uncertainty information which is caused due to the lack of clear cut boundaries between concepts of a domain. Fuzzy ontologies are proposed to offer a way to deal with this uncertainty. This paper describes the state of the art in developing fuzzy ontologies. The survey is produced by studying about 35 works on developing fuzzy ontologies from a batch of 100 articles in the field of fuzzy ontologies. 1. Introduction Ontology is an explicit, formal specification of a shared conceptualization in a human understandable, machine- readable format. Ontologies are the knowledge backbone for many intelligent and knowledge based systems [1, 2]. However, in some domains, real world knowledge is imprecise or vague. For example in a search engine one may be interested in ”an extremely speedy, small size, not expensive car”. Classical ontologies based on crisp logic are not capable of handling this kind of knowledge. Fuzzy ontologies were proposed as a combination of fuzzy theory and ontologies to tackle such problems. On the topic of fuzzy ontology, we studied about 100 research articles which can be categorized into four main categories. The first category includes the research works on applying fuzzy ontologies in a specific domain- application to improve the performance of the application such as group decision making systems [3] or visual video content analysis and indexing [4].The ontology development parts of the works in this category were done manually or were not of much concentration.
    [Show full text]
  • A Fuzzy Description Logic
    From: AAAI-98 Proceedings. Copyright © 1998, AAAI (www.aaai.org). All rights reserved. A Fuzzy Description Logic Umberto Straccia I.E.I - C.N.R. Via S. Maria, 46 I-56126 Pisa (PI) ITALY [email protected] Abstract is such a concept: we may say that an individual tom is an instance of the concept Tall only to a certain degree Description Logics (DLs, for short) allow reasoning n ∈ [0, 1] depending on tom’s height. about individuals and concepts, i.e. set of individuals with common properties. Typically, DLs are limited to Fuzzy logic directly deals with the notion of vague- dealing with crisp, well dened concepts. That is, con- ness and imprecision using fuzzy predicates. Therefore, cepts for which the problem whether an individual is it oers an appealing foundation for a generalisation of an instance of it is a yes/no question. More often than DLs in order to dealing with such vague concepts. not, the concepts encountered in the real world do not The aim of this work is to present a general fuzzy DL, have a precisely dened criteria of membership: we which combines fuzzy logic with DLs. In particular we may say that an individual is an instance of a concept will extend DLs by allowing expressions of the form only to a certain degree, depending on the individual’s hC(a) ni (n ∈ [0, 1]), e.g. hTall(tom) .7i, with intended properties. Concepts of this kind are rather vague than precise. As fuzzy logic directly deals with the notion of meaning “the membership degree of individual a being vagueness and imprecision, it oers an appealing foun- an instance of concept C is at least n”.
    [Show full text]
  • A Unifying Field in Logics: Neutrosophic Logic
    University of New Mexico UNM Digital Repository Faculty and Staff Publications Mathematics 2007 A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, NEUTROSOPHIC PROBABILITY AND STATISTICS - 6th ed. Florentin Smarandache University of New Mexico, [email protected] Follow this and additional works at: https://digitalrepository.unm.edu/math_fsp Part of the Algebra Commons, Logic and Foundations Commons, Other Applied Mathematics Commons, and the Set Theory Commons Recommended Citation Florentin Smarandache. A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, NEUTROSOPHIC PROBABILITY AND STATISTICS - 6th ed. USA: InfoLearnQuest, 2007 This Book is brought to you for free and open access by the Mathematics at UNM Digital Repository. It has been accepted for inclusion in Faculty and Staff Publications by an authorized administrator of UNM Digital Repository. For more information, please contact [email protected], [email protected], [email protected]. FLORENTIN SMARANDACHE A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, NEUTROSOPHIC PROBABILITY AND STATISTICS (sixth edition) InfoLearnQuest 2007 FLORENTIN SMARANDACHE A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, NEUTROSOPHIC PROBABILITY AND STATISTICS (sixth edition) This book can be ordered in a paper bound reprint from: Books on Demand ProQuest Information & Learning (University of Microfilm International) 300 N. Zeeb Road P.O. Box 1346, Ann Arbor MI 48106-1346, USA Tel.: 1-800-521-0600 (Customer Service) http://wwwlib.umi.com/bod/basic Copyright 2007 by InfoLearnQuest. Plenty of books can be downloaded from the following E-Library of Science: http://www.gallup.unm.edu/~smarandache/eBooks-otherformats.htm Peer Reviewers: Prof. M. Bencze, College of Brasov, Romania.
    [Show full text]
  • A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability and Statistics
    FLORENTIN SMARANDACHE A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, NEUTROSOPHIC PROBABILITY AND STATISTICS (fourth edition) NL(A1 A2) = ( T1 ({1}T2) T2 ({1}T1) T1T2 ({1}T1) ({1}T2), I1 ({1}I2) I2 ({1}I1) I1 I2 ({1}I1) ({1} I2), F1 ({1}F2) F2 ({1} F1) F1 F2 ({1}F1) ({1}F2) ). NL(A1 A2) = ( {1}T1T1T2, {1}I1I1I2, {1}F1F1F2 ). NL(A1 A2) = ( ({1}T1T1T2) ({1}T2T1T2), ({1} I1 I1 I2) ({1}I2 I1 I2), ({1}F1F1 F2) ({1}F2F1 F2) ). ISBN 978-1-59973-080-6 American Research Press Rehoboth 1998, 2000, 2003, 2005 FLORENTIN SMARANDACHE A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, NEUTROSOPHIC PROBABILITY AND STATISTICS (fourth edition) NL(A1 A2) = ( T1 ({1}T2) T2 ({1}T1) T1T2 ({1}T1) ({1}T2), I1 ({1}I2) I2 ({1}I1) I1 I2 ({1}I1) ({1} I2), F1 ({1}F2) F2 ({1} F1) F1 F2 ({1}F1) ({1}F2) ). NL(A1 A2) = ( {1}T1T1T2, {1}I1I1I2, {1}F1F1F2 ). NL(A1 A2) = ( ({1}T1T1T2) ({1}T2T1T2), ({1} I1 I1 I2) ({1}I2 I1 I2), ({1}F1F1 F2) ({1}F2F1 F2) ). ISBN 978-1-59973-080-6 American Research Press Rehoboth 1998, 2000, 2003, 2005 1 Contents: Preface by C. Le: 3 0. Introduction: 9 1. Neutrosophy - a new branch of philosophy: 15 2. Neutrosophic Logic - a unifying field in logics: 90 3. Neutrosophic Set - a unifying field in sets: 125 4. Neutrosophic Probability - a generalization of classical and imprecise probabilities - and Neutrosophic Statistics: 129 5. Addenda: Definitions derived from Neutrosophics: 133 2 Preface to Neutrosophy and Neutrosophic Logic by C.
    [Show full text]
  • Information to Users
    INFORMATION TO USERS This manuscript has been reproduced from the microfilm master. UMl films the text directly from the original or copy submitted. Thus, some thesis and dissertation copies are in typewriter face, while others may be from any type of computer printer. The quality of this reproduction is dependent upon the quality of the copy submitted. Broken or indistinct print, colored or poor quality illustrations and photographs, print bleedthrough, substandard margins, and improper alignment can adversely affect reproduction. In the unlikely event that the author did not send UMI a complete manuscript and there are missing pages, these will be noted. Also, if unauthorized copyright material had to be removed, a note will indicate the deletion. Oversize materials (e.g., maps, drawings, charts) are reproduced by sectioning the original, beginning at the upper left-hand comer and continuing from left to right in equal sections with small overlaps. Each original is also photographed in one exposure and is included in reduced form at the back of the book. Photographs included in the original manuscript have been reproduced xerographically in this copy. Higher quality 6” x 9” black and white photographic prints are available for any photographs or illustrations appearing in this copy for an additional charge. Contact UMI directly to order. UMI A Bell & Howell Infonnation Company 300 North Zeeb Road, Ann Arbor MI 48106-1346 USA 313/761-4700 800/521-0600 AN ANTHROPOLOGICAL INVESTIGATION OF THREE INFORMATION TECHNOLOGY FIRMS USING JAMES C. SCOTT'S THEORIES RELATED TO EVERYDAY FORMS OF RESISTANCE TO POWER DISSERTATION Presented in Partial Fulfillment of the Requirements for the Degree Doctor of Philosophy in the Graduate School of The Ohio State University By Cynthia Joseph Smith, B.A., M.A.
    [Show full text]
  • Integrating Fuzzy Logic in Ontologies
    INTEGRATING FUZZY LOGIC IN ONTOLOGIES Silvia Calegari and Davide Ciucci Dipartimento di Informatica, Sistemistica e Comunicazione, Universita` degli Studi di Milano Bicocca, via Bicocca degli Arcimboldi 8, 20126 Milano, Italy Keywords: Concept modifiers, fuzzy logics, fuzzy ontologies, membership modifiers, KAON, ontology editor. Abstract: Ontologies have proved to be very useful in sharing concepts across applications in an unambiguous way. Nowadays, in ontology-based applications information is often vague and imprecise. This is a well-known problem especially for semantics-based applications, such as e-commerce, knowledge management, web por- tals, etc. In computer-aided reasoning, the predominant paradigm to manage vague knowledge is fuzzy set theory. This paper presents an enrichment of classical computational ontologies with fuzzy logic to create fuzzy ontologies. So, it is a step towards facing the nuances of natural languages with ontologies. Our pro- posal is developed in the KAON ontology editor, that allows to handle ontology concepts in an high-level environment. 1 INTRODUCTION A possible solution to handle uncertain data and, hence, to tackle these problems, is to incorporate fuzzy logic into ontologies. The aim of fuzzy set An ontology is a formal conceptualization of a partic- theory (Klir and Yuan, 1995) introduced by L. A. ular domain of interest shared among heterogeneous Zadeh (Zadeh, 1965) is to describe vague concepts applications. It consists of entities, attributes, rela- through a generalized notion of set, according to tionships and axioms to provide a common under- which an object may belong to a certain degree (typ- standing of the real world (Lammari and Mtais, 2004; ically a real number from the interval [0,1]) to a set.
    [Show full text]
  • Fuzzy Types: a Framework for Handling Uncertainty About Types of Objects Tru H
    CORE Metadata, citation and similar papers at core.ac.uk Provided by Elsevier - Publisher Connector International Journal of Approximate Reasoning 25 (2000) 217±253 www.elsevier.com/locate/ijar Fuzzy types: a framework for handling uncertainty about types of objects Tru H. Cao a,*, Peter N. Creasy b a Department of Engineering Mathematics, Arti®cial Intelligence Group, University of Bristol, Bristol BS8 1TR, UK b Department of Computer Science and Electrical Engineering, University of Queensland, Qld 4072, Australia Received 1 November 1999; received in revised form 1 June 2000; accepted 1 July 2000 Abstract Like other kinds of information, types of objects in the real world are often found to be ®lled with uncertainty and/or partial truth. It may be due to either the vague nature of a type itself or to incomplete information in the process determining it even if the type is crisp, i.e., clearly de®ned. This paper proposes a framework to deal with uncertainty and/or partial truth in automated reasoning systems with taxonomic information, and in particular type hierarchies. A fuzzy type is formulated as a pair combining a basic type and a fuzzy truth-value, where a basic type can be crisp or vague (in the intuitive sense). A structure for a class of fuzzy truth-value lattices is proposed for this con- struction. The fuzzy subtype relation satisfying intuition is de®ned as a partial order between two fuzzy types. As an object may belong to more than one (fuzzy) type, conjunctive fuzzy types are introduced and their lattice properties are studied.
    [Show full text]
  • PREPRINT Intelligence, Science and the Ignorance Hypothesis David R
    PREPRINT Intelligence, Science and the Ignorance Hypothesis David R. Mandel Defence Research and Development Canada Intelligence organizations perform many functions. For example, they conduct covert operations that would be too politically sensitive for militaries to undertake as explicit missions. They also collect vast amounts of data that are inaccessible to others, except perhaps other intelligence organizations. However, the principal purpose of information collection is to produce substantive intelligence that can inform policymakers, commanders and other decision-makers who guard their nation’s interests and security. The fundamental premise of intelligence is that it serves to improve the planning and decision-making of these elite decision-makers by elevating the debate about policy options (Kent, 1955). If this were not so, the multi-billion dollar annual budgets would not be justified. If the premise is justified, then clearly the intellectual rigor and accuracy with which intelligence assessments are produce is of paramount importance. How do intelligence organizations ensure that the intelligence assessments they have produced are as accurate and sound as they can be? In this chapter, I will propose that the short answer is “not very well at all.” Methods and policies for ensuring analytic rigor have surely been implemented over the past several decades, but what has been endemic to these efforts is a rather pre-scientific, if not a fully anti-scientific, attitude towards their development and testing. After reviewing some examples of intelligence practices intended to ensure analytic rigor, I advance what I call the ignorance hypothesis to explain the absence of scientific attempts to discern what practices work from those that do not work so that intelligence organizations can effectively learn and adapt to the challenges of the modern world.
    [Show full text]
  • What Is a Fuzzy Concept Lattice? *
    ? WhatWhat is is a a fuzzy fuzzy concept concept lattice? lattice? ? Radim Bˇelohl´avek and Vil´em Vychodil Radim Bˇelohl´avek and Vil´em Vychodil Department of Computer Science, Palacky University, Olomouc DepartmentTomkova of Computer 40, CZ-779 Science, 00 Olomouc, Palack´yUniversity, Czech Republic Olomouc Tomkova{radim.belohlavek, 40, CZ-779 00 vilem.vychodil Olomouc, Czech}@upol.cz Republic {radim.belohlavek, vilem.vychodil}@upol.cz Abstract. The paper is an overview of several approaches to the notion of a concept lattice from the point of view of fuzzy logic. The main aim is to clarify relationships between the various approaches. Keywords: formal concept analysis, fuzzy logic, fuzzy attribute 1 Introduction Formal concept analysis (FCA) deals with a particular kind of analysis of data which, in the basic setting, has the form of a table with rows corresponding to objects, columns corresponding to attributes, and table entries containing 1’s and 0’s depending on whether an object has or does not have an attribute (we assume basic familiarity with FCA and refer to [24] for information). The basic setting is well-suited for attributes which are crisp, i.e. each object of the domain of applicability of the attribute either has (1) or does not have (0) the attribute. Many attributes are fuzzy rather than crisp. That is to say, it is a matter of degree to which an object has a (fuzzy) attribute. For instance, when asking whether a man with a height of 182 cm is tall, one probably gets an answer like “not completely tall but almost tall” or “to a high degree tall”, etc.
    [Show full text]
  • Modeling Fuzzy Rules with Description Logics
    Wright State University CORE Scholar Computer Science and Engineering Faculty Publications Computer Science & Engineering 11-1-2005 Modeling Fuzzy Rules with Description Logics Sudhir Agarwal Pascal Hitzler [email protected] Follow this and additional works at: https://corescholar.libraries.wright.edu/cse Part of the Bioinformatics Commons, Communication Technology and New Media Commons, Databases and Information Systems Commons, OS and Networks Commons, and the Science and Technology Studies Commons Repository Citation Agarwal, S., & Hitzler, P. (2005). Modeling Fuzzy Rules with Description Logics. CEUR Workshop Proceedings, 188, 5. https://corescholar.libraries.wright.edu/cse/75 This Conference Proceeding is brought to you for free and open access by Wright State University’s CORE Scholar. It has been accepted for inclusion in Computer Science and Engineering Faculty Publications by an authorized administrator of CORE Scholar. For more information, please contact [email protected]. Modeling Fuzzy Rules with Description Logics Sudhir Agarwal and Pascal Hitzler Institute of Applied Informatics and Formal Description Methods (AIFB), University of Karlsruhe (TH), Germany. {agarwal,hitzler}@aifb.uni-karlsruhe.de Abstract. In real application scenarios, input data and knowledge is often vague. Likewise, it is often the case that exact reasoning over data is impossible due to complex dependencies between input data and tar- get outputs. For practical applications, however, good approximations often suffice, and efficient calculation of an approximate answer is often preferable over complex processing which may take a long time to come up with an exact answer. Fuzzy logic supports both features by provid- ing fuzzy membership functions and fuzzy IF-THEN rule bases.
    [Show full text]
  • Dariusz Piętka ( Cardinal Stefan Wyszy Ń Ski University in Warsaw ) 
    ORGANON 47:2015 Dariusz Piętka ( Cardinal Stefan Wyszy ń ski University in Warsaw ) THE CONCEPT OF INTUITION AND ITS ROLE IN PLATO AND ARISTOTLE Abstract . The subject of the article is intuition and its role in philosophical cognition in Plato and Aristotle. The mai n problem concerns the rationality of intuitive knowledge. Plato is the heir of the Parmenidean doctrinal tradition of being and cognition. According to him, intuition is the immediate perceiving of ideas. This may be supernatural intuition or rational int uition. The first is perceiving ideas seen before birth, the second is recollection of knowledge or cognition of ideas in the mind. The aim of intuitive knowledge is the definition of the essence. Plotinus is the successor to Plato’s theory of supernatura l intuition. Aristotle used intuition to formulate the first principles of science or to define the goals of activity. Each type is characterised by common features, such as directness, comprehensiveness of cognition and obviousness. There are differences between the types of intuition. First of all, they concern whether the object is natural or supernatural, its intersubjectivity, and the sources of intuitive cognition. In the case of intersubjectivity, Aristotle introduced a confirmation procedure concer ning some of principles known intuitively. The idea of confirmation is forced by accusations against, for example, the principle of non – contradiction, which made Aristotle present a certain extra – intuitive way for it to be substantiated. Key – words: Intuit ion, nous , Plato, Aristotle, ancient theory of knowledge. Introduction Science, or more generally knowledge, is an organised set of propositions. Their arrangement, broadly speaking, is that particular propositions from the set are justified by proposit ions formerly accepted which are substantiated by Addr ess for correspondence: Instytu t Filozofii UKSW, W óy cickiego 1/3, 01 – 938 Warszawa , Pol and.
    [Show full text]
  • Patent Verdicts: Improving the Quality of Appellate Review by Incorporating Fuzzy Logic in Jury Verdicts Michael T
    Hastings Law Journal Volume 59 | Issue 5 Article 11 1-2008 The yM th of "Lucky" Patent Verdicts: Improving the Quality of Appellate Review by Incorporating Fuzzy Logic in Jury Verdicts Michael T. Nguyen Follow this and additional works at: https://repository.uchastings.edu/hastings_law_journal Part of the Law Commons Recommended Citation Michael T. Nguyen, The Myth of "Lucky" Patent Verdicts: Improving the Quality of Appellate Review by Incorporating Fuzzy Logic in Jury Verdicts, 59 Hastings L.J. 1257 (2008). Available at: https://repository.uchastings.edu/hastings_law_journal/vol59/iss5/11 This Note is brought to you for free and open access by the Law Journals at UC Hastings Scholarship Repository. It has been accepted for inclusion in Hastings Law Journal by an authorized editor of UC Hastings Scholarship Repository. For more information, please contact [email protected]. The Myth of "Lucky" Patent Verdicts: Improving the Quality of Appellate Review by Incorporating Fuzzy Logic in Jury Verdicts MICHAEL T. NGUYEN* Everything is vague to a degree you do not realize till you have tried to make it precise. - Bertrand Russell INTRODUCTION Patent jury verdicts resemble lottery jackpot winnings in a multitude of ways.' For many years, commentators have lamented the unpredictable nature of patent jury verdicts.' The damages awards of these patent verdicts, like lottery jackpots, are measured in the millions of dollars. For example, in a recent patent case, Verizon v. Vonage, the jury awarded Verizon $58 million in damages.4 For better or for worse, * J.D., University of California, Hastings College of the Law, 2008; B.A., Southwestern University, 2003.
    [Show full text]