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Full Screen- TITLE
- CERTIFICATE
- DECLARATION
- ACKNOWLEDGEMENT
- CONTENTS
- 0. INTRODUCTION
- 1. PRELIMINARIES
- 1.1 Lattice Theory
- 1.2 Fuzzy Set Theory
- 1.3 Evidence Theory
- 1.4 Possibility Theory
- 2. SOME GENERALISATIONS OF EVIDENCE MEASURES
- 2.0 Introduction
- 2.1 Preliminaries
- 2.2 C-valued evidence measures on Boolean algebras
- 2.3 C-valued evidence measures on atomic Boolean algebras
- 2.4 C-valued evidence measure on C-fuzzy sets
- 3. EQUIVALENCE CLASS REPRESENTATION OF FUZZY NUMBERS
- 3.0 Introduction
- 3.1 Equivalence classes of closed intervals of R
- 3.2 Equivalence classes of fuzzy numbers
- 3.3 Application to Evidence Theory and Possibility Theory
- 4. DECISION ANALYSIS USING EVIDENCE THEORETIC AND FUZZY SET THEORETIC FRAME WORKS
- 4.0 Introduction
- 4.1 Preliminaries
- 4.2 Decision analysis with crisp utility, crisp basic probability assignment, and factual fuzzy information
- 4.3 Decision analysis using fuzzy number valued utility, fuzzy number valued basic probability assignment and factual fuzzy information
- 4.4 Decision analysis with hypothetical information, in the case of a family of experiments
- 4.5 Value of Information
- 5. PROPERTIES OF ORDERED POSSIBILITY DISTRIBUTIONS AND CONSONANT BASIC DISTRIBUTIONS
- 5.0 Introduction
- 5.1 Preliminaries
- 5.2 Metric structure on Rnx
- 5.3 Lattice structure on Mnx
- 5.4 Metric structure on Mnx
- 5.5 Metric structure on joint and marginal possibility distributions
- 6. ALGEBRAIC PROPERTIES OF THE LATTICE Rnx
- 6.0 Introduction
- 6.1 Further algebraic properties of Rnx
- 6.2 Further algebraic structures on the lattice Rnx
- 7. GENERALISED POSSIBILITY AND NECESSITY MEASURES
- 7.0 Introduction
- 7.1 L-valued possibility and necessity measures on complete Boolean algebras
- 7.2 L-valued possibility and necessity measures on complete atomic Boolean algebras
- 7.3 L-valued possibility and necessity measures on L-fuzzy sets
- 7.4 Lattice interval valued possibility and necessity measures on L-fuzzy sets
- 8. INTERVAL VALUED AND FUZZY NUMBER VALUED POSSIBILITY DISTRIBUTIONS
- 8.0 Introduction
- 8.1 Preliminaries
- 8.2 Interval valued possibility distributions and associated measures
- 8.3 Fuzzy number valued possibility and necessity measures and fuzzy number valued possibility disributions
- 8.4 Ordered fuzzy number valued possibility distributions
- 8.5 Consonant fuzzy number valued basic distributions
- 8.6 Concluding Remarks
- REFERENCES