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Thesis Details
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123
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Title
Certificate
Declaration
Acknowledegement
Contents
Introduction
I. Fuzzy Total Variation
1.0 Introduction
1.1 Preliminaries
1.2 Fuzzy Total Variation
1.3 Fuzzy Upper Variation and Fuzzy Lower Variation
1.4 Fuzzy ยต-null Function
1.5 The Space F (Xp)
II. Integration of Fuzzy Simple Functions
2.0 Introduction
2.1 The Fuzzy Integrability
2.2 Fuzzy Linear Subspace
III. Fuzzy Integrable Functions
3.0 Introduction
3.1 Fuzzy Integrable Function
IV. Some Important Theorems
4.0 Introduction
4.1 Countably Additive Fuzzy Measure
4.2 Fuzzy Analogous forms of Egoroff`s Theorem, Fatou`s Lemma and Dominated Convergence Theorem
V. Lebesgue Decomposition With Respect to a Fuzzy Measure
5.0 Introduction
5.1 Preliminaries
5.2 Lebesgue Decomposition with Respect to a Fuzzy Measure .
VI. Fuzzy Vector Valued Integration
6.0 Introduction
6.1 The Fuzzy Semi-Variation of Fuzzy Vector Valued Measure .
6.2 Integration with Respect to Fuzzy Vector Valued Measure
References