JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (3): 54-66.doi: 10.6040/j.issn.1671-9352.4.2020.238

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Interval-valued q-rung hesitant fuzzy frank aggregation operators and their application in multi-attribute decision making

HUANG Lin, YUAN Xiu-jiu, SUO Zhong-ying, PANG Meng-yang, BAO Zhuang-zhuang, LI Zhi-wei   

  1. Department of Basic Sciences, Air Force Engineering University, Xian 710051, Shaanxi, China
  • Published:2021-03-16

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Abstract: In this article, the q-rung hesitant fuzzy set is extended, and interval-valued q-rung hesitant fuzzy set is proposed. Combining Frank operator with interval-valued q-rung hesitant fuzzy set, the interval-valued q-rung hesitant fuzzy Frank aggregation operators are proposed. Firstly, based on the Frank operator, the operation properties of interval-valued q-rung hesitant fuzzy elements are defined, and the score function, accuracy function and ranking method of interval-valued q-rung hesitant fuzzy elements are proposed. Secondly, the interval-valued q-rung hesitant fuzzy Frank arithmetic average operator, geometric average operator, ordered weighted average operator and hybrid average operator are defined. The calculation formulas of the operators are given respectively, the related properties are studied, and the special forms of the operators are discussed. Finally, a multi-attribute decision-making method based on interval-valued q-rung hesitant fuzzy Frank aggregation operator is given, and the feasibility and effectiveness of the method are demonstrated through calculation examples and comparative analysis. This method can flexibly choose parameters according to the risk preference attitude of the decision maker to meet the requirements of different decision-making situations.

Key words: interval-valued q-rung hesitant fuzzy set, Frank operator, arithmetic average operator, geometric average operator, hybrid average operator, multiple-attribute decision making

CLC Number: 

  • O159
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