Belief structure-based induced aggregation operators in decision making with hesitant fuzzy information

Abstract

In this paper, the decision-making problems under hesitant fuzzy environment are investigated with Dempster–Shafer (D–S) theory. Firstly, some basic concepts of hesitant fuzzy sets, generalized hesitant fuzzy sets and D–S theory are introduced. Then two new aggregation operators: belief structure hesitant fuzzy induced ordered weighted averaging operator and belief structure hesitant fuzzy induced ordered weighted geometric operator are developed, and some properties of the proposed operators are studied. A belief structure hesitant fuzzy induced aggregation operators-based decision-making approach under uncertainty is developed. Then the proposed operators and procedures are extended to generalized hesitant fuzzy environment. Finally, some illustrative examples show the feasibility of the proposed methods.

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Acknowledgements

This study was funded by the National Natural Sciences Foundation of China (Nos. 71401184, 91846301, 71502178), Major Project for National Natural Science Foundation of China (No. 71790615), Key Project of Philosophy and Social Sciences Research, Ministry of Education PRC (No. 16JZD013) and China Postdoctoral Science Foundation (No. 2014M552169).

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Correspondence to Xihua Li.

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Li, X., Chen, X. Belief structure-based induced aggregation operators in decision making with hesitant fuzzy information. Neural Comput & Applic 31, 8917–8929 (2019). https://doi.org/10.1007/s00521-018-3947-6

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Keywords

  • Decision making
  • Dempster–Shafer theory
  • Hesitant fuzzy sets
  • Aggregation operators