A method based on similarity measures for interactive group decision-making with intuitionistic fuzzy preference relations

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• 作者：Shouzhen Zeng^a ; ^{zszzxl@163.com} ; Weihua Su^b ; ^{zjsuweihua@163.com} ; Lirong Sun^c ; ^{13858001396@163.com}
• 关键词：Intuitionistic fuzzy preference relations ; Group decision-making problem ; Similarity measures ; Consensus ; Interaction
• 刊名：Applied Mathematical Modelling
• 出版年：2013
• 出版时间：1 June, 2013
• 年：2013
• 卷：37
• 期：10-11
• 页码：6909-6917
• 全文大小：269 K

文摘

In this paper, we study the group decision-making problem in which the preference information given by experts takes the form of intuitionistic fuzzy preference relations, and the information about experts¡¯ weights is completely unknown. We first utilize the intuitionistic fuzzy weighted averaging operator to aggregate all individual intuitionistic fuzzy preference relations into a collective intuitionistic fuzzy preference relation. Then, based on the degree of similarity between the individual intuitionistic fuzzy preference relations and the collective one, we develop an approach to determine the experts¡¯ weights. Furthermore, based on intuitionistic fuzzy preference relations, a practical interactive procedure for group decision-making is proposed, in which the similarity measures between the collective preference relation and intuitionistic fuzzy ideal solution are used to rank the given alternatives. Finally, an illustrative numerical example is given to verify the developed approach.