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Fuzzy MCDM based on ideal and anti-ideal concepts. (English) Zbl 0933.90070

Summary: This paper presents a novel fuzzy multiple criteria decision making (MCDM) based on the concepts of ideal and anti-ideal points. The concepts of fuzzy set theory and hierarchical structure analysis are used to develop a weighted suitability decision matrix to evaluate the weighted suitability of different alternatives versus various criteria. The distance of different alternatives versus positive ideal solution and negative ideal solution are then obtained by using the proposed ranking method. Finally, the relative approximation values of various alternatives versus positive ideal solution are ranked to determine the best alternative.

MSC:

90C70 Fuzzy and other nonstochastic uncertainty mathematical programming
90B50 Management decision making, including multiple objectives
90C29 Multi-objective and goal programming
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