Caratheodory's extension theorem on fuzzy measure theory
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Abstract (EN)
In this thesis on Caratheodory?s extension theorem, written in clasiccal measure theory, is studied on fuzzy measure theory.Firstly, algebraic structure of clases of sets, fuzzy sets and algebraic structure about this fuzzy sets is analyzied. Then basic definitions and theorems that are clasiccal measure and fuzzy measures are mentioned.Lastly, the theorems about extension of measures, extension of fuzzy measures and the studies which is related to explanation of Caratheodory?s extension theorems about some fuzzy measures are studied.
Author
Sedat Kahyaoğlu
How to Cite
Sedat Kahyaoğlu (Master Thesis). Caratheodory's extension theorem on fuzzy measure theory, 2008, Gaziantep University.
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