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Generalized intuitionistic fuzzy geometric aggregation operators and their application to multi-criteria decision making

Author

Listed:
  • Chunqiao Tan

    (Central South University, Changsha, China)

  • Wentao Yi

    (Central South University, Changsha, China)

  • Xiaohong Chen

    (Central South University, Changsha, China)

Abstract

In this paper, we extend the generalized weighted geometric and generalized ordered weighted geometric operators to intuitionistic fuzzy environments, that is, we develop a series of generalized intuitionistic fuzzy geometric operators to aggregate input arguments that are expressed by intuitionistic fuzzy values based on Archimedean t-conorm and t-norm. Then some desired properties of these aggregation operators are investigated. The relations between these operators and some existing intuitionistic fuzzy geometric aggregation operators are discussed in detail. Furthermore, applying these proposed operators, we develop an approach for multi-criteria decision making with intuitionistic fuzzy information. Finally, a practical example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

Suggested Citation

  • Chunqiao Tan & Wentao Yi & Xiaohong Chen, 2015. "Generalized intuitionistic fuzzy geometric aggregation operators and their application to multi-criteria decision making," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(11), pages 1919-1938, November.
    • Handle: RePEc:pal:jorsoc:v:66:y:2015:i:11:p:1919-1938
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    Cited by:

    1. Chunqiao Tan & Xiaohong Chen, 2016. "Generalized Archimedean Intuitionistic Fuzzy Averaging Aggregation Operators and their Application to Multicriteria Decision-Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 311-352, March.
    2. Wei Yang & Yongfeng Pang, 2022. "T-Spherical Fuzzy Bonferroni Mean Operators and Their Application in Multiple Attribute Decision Making," Mathematics, MDPI, vol. 10(6), pages 1-33, March.

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