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Generalized intuitionistic fuzzy geometric aggregation operator and its application to multi-criteria group decision making

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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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Acknowledgments

The author is very grateful to the Co-Guest-Editor, Professor Hepu Deng and the anonymous referees for their insightful and constructive comments and suggestions, which have been very helpful in improving the paper. This work was supported by a grant from the Funds for Creative Research Groups of China (No. 70921001), the National Natural Science Foundation of China (Nos. 70801064, 70771010, and 70631004), the Ph.D. Programs Foundation of Ministry of Education of China (No. 200805331059), and the Philosophy and Social Science Foundation of Hunan Province, China (No. 08YBA021).

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  1. School of Business, Central South University, Changsha, 410083, China

    Chunqiao Tan

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Correspondence to Chunqiao Tan.

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Tan, C. Generalized intuitionistic fuzzy geometric aggregation operator and its application to multi-criteria group decision making. Soft Comput 15, 867–876 (2011). https://doi.org/10.1007/s00500-010-0554-6

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