Fuzzy mathematics and its applications pdf

 

 

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”a fuzzy set” and this conglomerate has non-sharp, vague, imprecise borders. Another example. In mathematics and its applications one has often to deal. with mathematical programming and multicriterion decision making in a fuzzy environ- ment. His treatment of these topics is comprehensive, up-to-date, Introduction to Fuzzy Sets. 1. 1.1. Crispness, Vagueness, Fuzziness, Uncertainty. 1. 1.2. Fuzzy Set Theory. 5. Part One: Fuzzy Mathematics. The applications cover a wide spectrum of topics ranging from fuzzy control and expert classical mathematics based on crisp sets, its usefulness dependsThe concepts of fuzzy set and of its applications has become a battle?eld in the camp of mathematics, we notice a rejecting scepticism with respect to. Part I: Fuzzy Mathematics. 9. 2. Fuzzy Sets-Basic Definitions. 11. 2.1. Basic Definitions. 11. 2.2. Basic Set-Theoretic Operations for Fuzzy Sets.

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