Optimistic and pessimistic decision making based on interval-valued intuitionistic fuzzy soft sets

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作者
Wen, Xue [1 ]
Xiao, Zhi [1 ]
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[1] School of Economics and Business Administration, Chongqing University, Chongqing, China
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This study explores the application of using the interval-valued intuitionistic fuzzy soft sets (IVIFSS) approach to the multi-criteria group decision making problem. Firstly; we define the concept of the IVIFSS value vector; including the IVIFSS weighted averaging; the optimistic IVIFSS value and the pessimism IVIFSS value. Then; some of their desirable properties are investigated in detail. Furthermore; we prove that the decision makers; as the parameter sets; and their IVIFSS value vector; as mapping rule; may be consider as a new IVIFSS for all decision makers and the vector of this IVIFSS could be considered as the valuation of the alternatives that all the decision makers decide; whose score functions could be rank the alternatives. Finally; an approach to multicriteria group decision making based on IVIFSS is given and an illustrative example is employed to show the validity of this approach;
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页码:1284 / 1290
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