Dual hesitant fuzzy information aggregation with Einstein t-conorm and t-norm

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• 作者：Hua Zhao ; Zeshui Xu ; Shousheng Liu
• 关键词：Dual hesitant fuzzy set ; Einstein t ; conorm and t ; norm ; operation ; aggregation operator
• 刊名：Journal of Systems Science and Systems Engineering
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：26
• 期：2
• 页码：240-264
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Complexity; Economic Theory/Quantitative Economics/Mathematical Methods; Operation Research/Decision Theory;
• 出版者：Springer Berlin Heidelberg
• ISSN：1861-9576
• 卷排序：26

文摘

Dual hesitant fuzzy set (DHFS) is a new generalization of fuzzy set (FS) consisting of two parts (i.e., the membership hesitancy function and the non-membership hesitancy function), which confronts several different possible values indicating the epistemic degrees whether certainty or uncertainty. It encompasses fuzzy set (FS), intuitionistic fuzzy set (IFS), and hesitant fuzzy set (HFS) so that it can handle uncertain information more flexibly in the process of decision making. In this paper, we propose some new operations on dual hesitant fuzzy sets based on Einstein t-conorm and t-norm, study their properties and relationships and then give some dual hesitant fuzzy aggregation operators, which can be considered as the generalizations of some existing ones under fuzzy, intuitionistic fuzzy and hesitant fuzzy environments. Finally, a decision making algorithm under dual hesitant fuzzy environment is given based on the proposed aggregation operators and a numerical example is used to demonstrate the effectiveness of the method.