Integrating Fuzzy Logic in Ontologies
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Bi-Directional Transformation Between Normalized Systems Elements and Domain Ontologies in OWL
Bi-directional Transformation between Normalized Systems Elements and Domain Ontologies in OWL Marek Suchanek´ 1 a, Herwig Mannaert2, Peter Uhnak´ 3 b and Robert Pergl1 c 1Faculty of Information Technology, Czech Technical University in Prague, Thakurova´ 9, Prague, Czech Republic 2Normalized Systems Institute, University of Antwerp, Prinsstraat 13, Antwerp, Belgium 3NSX bvba, Wetenschapspark Universiteit Antwerpen, Galileilaan 15, 2845 Niel, Belgium Keywords: Ontology, Normalized Systems, Transformation, Model-driven Development, Ontology Engineering, Software Modelling. Abstract: Knowledge representation in OWL ontologies gained a lot of popularity with the development of Big Data, Artificial Intelligence, Semantic Web, and Linked Open Data. OWL ontologies are very versatile, and there are many tools for analysis, design, documentation, and mapping. They can capture concepts and categories, their properties and relations. Normalized Systems (NS) provide a way of code generation from a model of so-called NS Elements resulting in an information system with proven evolvability. The model used in NS contains domain-specific knowledge that can be represented in an OWL ontology. This work clarifies the potential advantages of having OWL representation of the NS model, discusses the design of a bi-directional transformation between NS models and domain ontologies in OWL, and describes its implementation. It shows how the resulting ontology enables further work on the analytical level and leverages the system design. Moreover, due to the fact that NS metamodel is metacircular, the transformation can generate ontology of NS metamodel itself. It is expected that the results of this work will help with the design of larger real-world applications as well as the metamodel and that the transformation tool will be further extended with additional features which we proposed. -
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. -
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”. -
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. -
Data Models for Home Services
__________________________________________PROCEEDING OF THE 13TH CONFERENCE OF FRUCT ASSOCIATION Data Models for Home Services Vadym Kramar, Markku Korhonen, Yury Sergeev Oulu University of Applied Sciences, School of Engineering Raahe, Finland {vadym.kramar, markku.korhonen, yury.sergeev}@oamk.fi Abstract An ultimate penetration of communication technologies allowing web access has enriched a conception of smart homes with new paradigms of home services. Modern home services range far beyond such notions as Home Automation or Use of Internet. The services expose their ubiquitous nature by being integrated into smart environments, and provisioned through a variety of end-user devices. Computational intelligence require a use of knowledge technologies, and within a given domain, such requirement as a compliance with modern web architecture is essential. This is where Semantic Web technologies excel. A given work presents an overview of important terms, vocabularies, and data models that may be utilised in data and knowledge engineering with respect to home services. Index Terms: Context, Data engineering, Data models, Knowledge engineering, Semantic Web, Smart homes, Ubiquitous computing. I. INTRODUCTION In recent years, a use of Semantic Web technologies to build a giant information space has shown certain benefits. Rapid development of Web 3.0 and a use of its principle in web applications is the best evidence of such benefits. A traditional database design in still and will be widely used in web applications. One of the most important reason for that is a vast number of databases developed over years and used in a variety of applications varying from simple web services to enterprise portals. In accordance to Forrester Research though a growing number of document, or knowledge bases, such as NoSQL is not a hype anymore [1]. -
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. -
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. -
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. -
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. -
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. -
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. -
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.