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Hesitant Trapezoid Fuzzy Hamacher Aggregation Operators and Their Application to Multiple Attribute Decision Making

Author

Listed:
  • Yu Qian
  • Cao Jun
  • Tan Ling
  • Liu Jiongyan

    (School of Business and Administration, Chongqing University of Science & Technology, Chongqing401331, China)

  • Zhai Yubing

    (School of Management and Economics, Beijing Institute of Technology, Beijing100081, China)

Abstract

In this paper, we investigate the multiple attribute decision making (MADM) problems in which the attribute values take the form of hesitant trapezoid fuzzy information. Firstly, inspired by the idea of hesitant fuzzy sets and trapezoid fuzzy numbers, the definition of hesitant trapezoid fuzzy set and some operational laws of hesitant trapezoid fuzzy elements are proposed. Then some hesitant trapezoid fuzzy aggregation operators based on Hamacher operation are developed, such as the hesitant trapezoid fuzzy Hamacher weighted average (HTrFHWA) operator, the hesitant trapezoid fuzzy Hamacher weighted geometric (HTrFHWG) operator, the hesitant trapezoid fuzzy Hamacher Choquet average (HTrFHCA), the hesitant trapezoid fuzzy Hamacher Choquet geometric (HTrFHCG), etc. Furthermore, an approach based on the hesitant trapezoid fuzzy Hamacher weighted average (HTrFHWA) operator and the hesitant trapezoid fuzzy Hamacher weighted geometric (HTrFHWG) operator is proposed for MADM problems under hesitant trapezoid fuzzy environment. Finally, a numerical example for supplier selection is given to illustrate the application of the proposed approach.

Suggested Citation

  • Yu Qian & Cao Jun & Tan Ling & Liu Jiongyan & Zhai Yubing, 2020. "Hesitant Trapezoid Fuzzy Hamacher Aggregation Operators and Their Application to Multiple Attribute Decision Making," Journal of Systems Science and Information, De Gruyter, vol. 8(6), pages 524-548, December.
    • Handle: RePEc:bpj:jossai:v:8:y:2020:i:6:p:524-548:n:6
    DOI: 10.21078/JSSI-2020-524-25
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