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Aggregation operators for various extensions of fuzzy set and its applications in transportation problems - MaRDI portal

Aggregation operators for various extensions of fuzzy set and its applications in transportation problems (Q2199944)

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Aggregation operators for various extensions of fuzzy set and its applications in transportation problems
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    Aggregation operators for various extensions of fuzzy set and its applications in transportation problems (English)
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    14 September 2020
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    The authors present the results on their research in the area of fuzzy transportation problems. This topic was studied extensively in the last years, however the proposed approaches have many drawbacks. This motivated the authors to propose new methods for several kinds of problems. The first contribution is the critical discussion about the existing weighted aggregation operators and proposing new ones, not sharing the drawbacks of the previously defined ones. In the following chapters, the authors present new methods for several kinds of transportation problems: the Mehar method for the balanced fully triangular fuzzy transportation problems, the Vaishnavi approach (combined with the MEHAR comparison method) for triangular intuitionistic transportation problems of Type-2 and the JAI MATA DI approach (combined with the DAUGHTER and PRABHUS comparison methods) for unbalanced fully trapezoidal and unbalanced fully generalized trapezoidal intuitionistic fuzzy transportation problems. The monograph is well written. All the methodological issues are clearly presented and usually illustrated with small numerical examples, that allow to better understand the contents. For that reason, I can recommend this publication in particular for the researchers interested in the area of fuzzy transportation problems, but also fuzzy programing in a wider context of network optimization. It could be also considered as a handbook for some specialized courses, but a minor obstacle may be the lack of exercises and problems to solve on your own.
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    transportation problem
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    fuzzy transportation problem
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    weighted aggregation operator
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    fuzzy numbers
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    intuitionistic fuzzy numbers
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