An alternative to fuzzy methods in decision-making problems

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• 作者：D. Paternain^a ; ^{daniel.paternain@unavarra.es} ; A. Jurio^a ; ^{aranzazu.jurio@unavarra.es} ; E. Barrenechea^a ; ^{edurne.barrenechea@unavarra.es} ; H. Bustince^a ; ^{bustince@unavarra.es} ; B. Bedregal^b ; ^{bedregal@dimap.ufrn.br} ; E. Szmidt^c ; ^{szmidt@ibspan.waw.pl}
• 关键词：Atanassov&rsquo ; s intuitionistic fuzzy preference relations ; Decision-making ; Weak ignorance functions ; Weighted voting strategy
• 刊名：Expert Systems with Applications
• 出版年：2012
• 期刊代码：62_09574174
• 类别：et
• 出版时间：July, 2012
• 卷：39
• 期：9
• 页码：7729-7735
• 文件大小：256 K

摘要

In this work we present a construction method for Atanassov鈥檚 intuitionistic fuzzy preference relations starting from fuzzy preference relations and taking into account the ignorance of the expert in the construction of the latter. Moreover, we propose two generalizations of the weighted voting strategy to work with Atanassov鈥檚 intuitionistic fuzzy preference relations. An advantage of these algorithms is that they start from fuzzy preference relations and their results can be compared with those of any other decision-making algorithm based on fuzzy sets theory. We verify that our proposal is able to provide a unique solution in some cases in which the voting strategy is not able to order the alternatives.