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Thesis Details
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201
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TITLE
CERTIFICATE
DECLARATION
ACKNOWLEDGEMENT
CONTENTS
0. INTRODUCTION
1. PRELIMINARIES
1.0 Introduction
1.1 Fuzzy Set
1.2 Algebra of Fuzzy Sets
1.3 Fuzzy Relations
1.4 Fuzzy Orderings
2. FUZZY PREFERENCE RELATIONS
2.0 Introduction
2.1 Preliminaries
2.2 Models For Fuzzy Preference Relations Associated With R
2.3 Transitivity of P and I
2.4 Preference Structure without Incomparability
2.5 Topology resulting from a Fuzzy Preference Relation
3. FUZZY CONGRUENCE RELATION ON THE SEMIGROUP OF ALTERNATIVES
3.0 Introduction
3.1 Preliminaries
3.2 X as a Semigroup
3.3 The Indifference Relation on X
3.4 Quotient Semigroup of X induced by I
3.5 Homomorphism
4. PREFERENCE BASED CHOICE FUNCTIONS
4.0 Introduction
4.1 Preliminaries
4.2 The Sum of Dominance Choice Function
4.3 Choice by OCF, mD-CF, SD-CF and Sd-CF
4.4 Rationality of Choice
4.5 Rationality behavior of OCF, mD-CF, SD-CF and Sd-CF
5. FUZZY REVEALED PREFERENCE
5.0 Introduction
5.1 Preliminaries
5.2 A Necessary and Sufficient Condition for Rationality of the Choice Function
6. FUZZY WELFARE MEASURE
6.0 Introduction
6.1 Preliminaries
6.2 Fuzzy Welfare Function
6.3 Properties of FWF
6.4 Fuzzy Welfare Index
7. FUZZY POVERTY INDEX
7.0 Introduction
7.1 Preliminaries
7.2 Fuzzy Notion of Poverty Measure
7.3 Fuzzy Poverty Index
7.4 Modification of Pf
8. CONCLUSION
REFERENCES