Multiple attribute group decision making based on intuitionistic fuzzy interaction partitioned Bonferroni mean operators
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"Multiple attribute group decision m..." refers background or methods in this paper
...Section 2 gives basic knowledge about IFNs [1], the interactional operations of IFNs [14], the BM operator [3] and the PBM operator [12]....
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...Preliminaries In this section, some basic concepts of IFNs [1], the interactional operations of IFNs [14], the BM operator [3] and the PBM operator [12] were briefly reviewed....
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...In [1], Atanassov proposed the theory of IFSs to describe this type of complex fuzzy information....
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...Intuitionistic fuzzy sets Definition 1 [1]....
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2,131 citations
"Multiple attribute group decision m..." refers background or methods in this paper
...’s method [15], Xu’s method [37] and Xu and Yager’s method [43]....
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...The pair ( ), ( ) B B u y v y in the IFS { , ( ), ( ) | } B B B y u y v y y Y is called an IFN [37]....
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...Xu’s method [37] (Based on the IFWA operator) 1 2...
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...2 (1) For the functions of information aggregation operators: The traditional aggregation operators [37], [40] only can aggregate a set of real values into a real value....
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...(2) Because the aggregation operators presented in [18], [19], [23], [37] and [43] are based on the traditional operational rules proposed by Atanassov [2], they cannot get reasonable results for decision making in some situations, especially when one of the aggregated N-MDs is zero....
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"Multiple attribute group decision m..." refers methods in this paper
...In [44], Zadeh proposed the theory of fuzzy sets (FSs), which is a convenient tool to express fuzzy information and which has been used to process multiple attribute decision making (MADM) problems [16], [20], and MAGDM problems [21], [24]....
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