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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