Generalized intuitionistic fuzzy geometric aggregation operator and its application to multi-criteria group decision making |
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Authors: | Chunqiao Tan |
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Affiliation: | (1) School of Business, Central South University, Changsha, 410083, China |
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Abstract: | In general, for multi-criteria group decision making problem, there exist inter-dependent or interactive phenomena among criteria
or preference of experts, so that it is not suitable for us to aggregate them by conventional aggregation operators based
on additive measures. In this paper, based on fuzzy measures a generalized intuitionistic fuzzy geometric aggregation operator
is investigated for multiple criteria group decision making. First, some operational laws on intuitionistic fuzzy values are
introduced. Then, a generalized intuitionistic fuzzy ordered geometric averaging (GIFOGA) operator is proposed. Moreover,
some of its properties are given in detail. It is shown that GIFOGA operator can be represented by special t-norms and t-conorms
and is a generalization of intuitionistic fuzzy ordered weighted geometric averaging operator. Further, an approach to multiple
criteria group decision making with intuitionistic fuzzy information is developed where what criteria and preference of experts
often have inter-dependent or interactive phenomena among criteria or preference of experts is taken into account. Finally,
a practical example is provided to illustrate the developed approaches. |
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Keywords: | |
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