JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (3): 39-47.doi: 10.6040/j.issn.1671-9352.2.2022.2045

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Weighted hesitation fuzzy preference relation and its application in group decision making

FENG Xue1,2,3, GENG Sheng-ling1,3*, LI Yong-ming4   

  1. 1. College of Computer Science and Technology, Qinghai Normal University, Xining 810016, Qinghai, China;
    2. College of Mathematics and Statics, Qinghai Minzu University, Xining 810007, Qinghai, China;
    3. The Key State Laboratory of Tibetan Intelligent Information Processing and Application, Xining 810008, Qinghai, China;
    4. College of Computer Science, Shaanxi Normal University, Xian 710069, Shaanxi, China
  • Published:2023-03-02

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Abstract: Considering that the hesitant fuzzy preference relationship can more comprehensively represent the preference information of decision makers, by putting the hesitation fuzzy preference relationship in the sense of weight, the weighted hesitation fuzzy preference relation and multiplicative consistent weighted hesitation fuzzy preference relation are defined. At the same time, a convergent local consistency improvement process is designed to detect and improve the consistency level of weighted hesitant fuzzy preference relationship. It is more suitable to sovle the group decision-making problem, because the weighted hesitation fuzzy preference relation can fully reflect the preference information of decision makers and clearly reflect the importance of different preference degrees. Finally, a group decision-making is applied to the specific case, which shows that the proposed method is practical and feasible.

Key words: weighted hesitation fuzzy preference relation, multiplicative consistency, consistency index, determination condition, group decision-making

CLC Number: 

  • O159
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