Group Generalized Interval-valued Intuitionistic Fuzzy Soft Sets and Their Applications in\\ Decision Making
Publish place: Iranian Journal of Fuzzy Systems، Vol: 14، Issue: 1
Publish Year: 1396
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJFS-14-1_002
تاریخ نمایه سازی: 19 خرداد 1401
Abstract:
Interval-valued intuitionistic fuzzy sets (IVIFSs) are widely used to handle uncertainty and imprecision in decision making. However, in more complicated environment, it is difficult to express the uncertain information by an IVIFS with considering the decision-making preference. Hence, this paper proposes a group generalized interval-valued intuitionistic fuzzy soft set (G-GIVIFSS) which contains the basic description by interval-valued intuitionistic fuzzy soft set (IVIFSS) on the alternatives and a group of experts' evaluation of it. It contributes the following threefold: ۱) A generalized interval-valued intuitionistic fuzzy soft set (GIVIFSS) is proposed by introducing an interval-valued intuitionistic fuzzy parameter, which reflects a new and senior expert's opinion on the basic description. The operations, properties and aggregation operators of GIVIFSS are discussed. ۲) Based on GIVIFSS, a G-GIVIFSS is then proposed to reduce the impact of decision-making preference by introducing more parameters by a group of experts. Its important operations, properties and the weighted averaging operator are also defined. ۳) A multi-attribute group decision making model based on G-GIVIFSS weighted averaging operator is built to solve the group decision making problems in the more universal IVIF environment, and two practical examples are taken to validate the efficiency and effectiveness of the proposed model.
Keywords:
Group decision making , Interval-valued intuitionistic fuzzy set , Generalized interval-valued intuitionistic fuzzy soft set , Soft set
Authors
Hua Wu
Key Laboratory of Ultrafast Photoelectric Diagnostics Technology, Xi&#۰۳۹;an Institute of Optics and Precision Mechanics of Chinese Academy of Sciences, Xi&#۰۳۹;an, China and University of Chinese Academy of Sciences, Beijing, China.
Xiuqin Su
Key Laboratory of Ultrafast Photoelectric Diagnostics Technology, Xi&#۰۳۹;an Institute of Optics and Precision Mechanics of Chinese Academy of Sciences, Xi&#۰۳۹;an, China
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