FUZZY AND NEUTROSOPHIC ANALYSIS OF PERIYAR’S VIEWS ON UNTOUCHABILITY W. B. Vasantha Kandasamy Florentin Smarandache K. Kandasamy Translation of the speeches and writings of Periyar from Tamil by Meena Kandasamy November 2005 FUZZY AND NEUTROSOPHIC ANALYSIS OF PERIYAR’S VIEWS ON UNTOUCHABILITY W. B. Vasantha Kandasamy e-mail:
[email protected] web: http://mat.iitm.ac.in/~wbv Florentin Smarandache e-mail:
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[email protected] Translation of the speeches and writings of Periyar from Tamil by Meena Kandasamy November 2005 2 Dedicated to Periyar CONTENTS Preface 5 Chapter One BASIC NOTION OF FCMs, FRMs, NCMs AND NRMS 1.1 Definition of Fuzzy Cognitive Maps 9 1.2 Fuzzy Cognitive Maps – Properties and Models 13 1.3 Fuzzy Relational Maps 18 1.4 An Introduction to Neutrosophy and some Neutrosophic algebraic structures 22 1.5 Neutrosophic Cognitive Maps 27 1.6 Neutrosophic Relational Maps — Definition with Examples 31 Chapter Two UNTOUCHABILITY: PERIYAR’S VIEW AND PRESENT DAY SITUATION A FUZZY AND NEUTROSOPHIC ANALYSIS 2.1 Analysis of untouchability due to Hindu religion using FCMs and NCMs 43 2.2 Analysis of discrimination faced by Dalits/ Sudras in the field of education as untouchables using FCMs and NCMs 58 2.3 Social inequality faced by Dalits and some of the most backward classes - an analysis using FCM and NCM 66 4 2.4 Problems faced by Dalits in the political arena due to discrimination – a FCM and NCM analysis 75 2.5 Study of Economic Status of Dalits due to untouchability using fuzzy and neutrosophic