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Page: 112
 
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  • TITLE
  • CERTIFICATE
  • DECLARATION
  • ACKNOWLEDGEMENT
  • CONTENTS
  • Introduction
  • 1. Preliminaries
  • 1.1. Introduction
  • 1.2. Operations of Fuzzy Sets
  • 1.3. Fuzzy Algebraic Structures
  • 2. G-modules
  • 2.1. Introduction
  • 2.2. Group Representation and G-module
  • 2.3. Irreducibility, reducibility and complete reducibility of G-modules
  • 2.4. G-module injectivity
  • 2.5. G-module Projectivity
  • 2.6. Finite G-modules
  • 3. Fuzzy G-modules and fuzzy Complete reducibility
  • 3.1. Introduction
  • 3.2. Fuzzy G-module
  • 3.3. Fuzzy complete reducibility
  • 4. Fuzzy Injectivity
  • 4.1. Introduction
  • 4.2 Fuzzy G-module Injectivity
  • 4.3. Properties of fuzzy G-module Injectivity
  • 5. Fuzzy Projectivity
  • 5.1. Introduction
  • 5.2. Fuzzy G-module Projectivity
  • 5.3. Further properties of fuzzy G-module Projectivity
  • CONCLUSION
  • List of Symbols / Notations
  • References