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Title of Journal: Qual Quant

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Abbravation: Quality & Quantity

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Springer Netherlands

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DOI

10.1016/0009-8981(88)90373-7

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1573-7845

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Fuzzy grey relation method for multiple criteria d

Authors: MaoSheng Liao GinShuh Liang ChinYuan Chen
Publish Date: 2012/04/26
Volume: 47, Issue: 6, Pages: 3065-3077
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Abstract

Combining the concepts of fuzzy set theory entropy ideal and grey relation analysis a fuzzy grey relation method for multiple criteria decisionmaking problems is proposed First triangular fuzzy numbers and linguistic values characterized by triangular fuzzy numbers are used to evaluate the importance weights of all criteria and the superiority of all alternatives versus various criteria above the alternative level Then the concept of entropy is utilized to solve the adjusted integration weight of all objective criteria above the alternative level Furthermore using the concepts of ideal the grey ration grades of various alternatives versus ideal solution are ranked to determine the best alternative Finally a numerical example of selecting most appropriate company to build a new highway is used to demonstrate the applicability of proposed method The study results show that this method is an effective means for tackling MCDM problems in fuzzy and grey environments

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