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Thesis Details
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172
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Title
Declaration
Certificate
Contents
Preface
List of Symbols/Notations
1. Introduction
2. Preliminaries
2.1. Lattices and Fuzzy Sublattices
2.2. Intuitionistic Fuzzy Sets and Relations
2.3. Rough Sets
3. Intutionistic fuzzy sublattices and characterizations
Intuitionistic Fuzzy Ideals and Homomorphism
4. Operations on intutionostic fuzzy ideals of a lattice
Ideal of an Intuitionistic Fuzzy Lattice
Quotient of Ideals
5. Intuitionistic fuzzy equivalences and congruences in a lattice
5.1. Intuitionistic Fuzzy (t, k) Equivalence Relations
5.2. Intuitionistic Fuzzy Ideals and Congruence
5.3. Intuitionistic Fuzzy Quotient Lattice
6. Interval valued intuitionistic fuzzy sublattices and ideals
6.1. Interval Valued Intuitionistic Fuzzy Ideals
6.2. (∈,∈∨q)Intuitionistic Fuzzy Sublattices and Ideals
7. Rough sets in a lattice
7.1. Rough Ideals in a Lattice
7.2. Rough Fuzzy Ideals and Homomorphism
7.3. Rough Intuitionistic Fuzzy Sets in a Lattice
Conclusion
Bibliography