Computer Engineering and Applications ›› 2021, Vol. 57 ›› Issue (15): 207-214.DOI: 10.3778/j.issn.1002-8331.2003-0151

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Application of Interval-Valued Pythagorean Hesitant Fuzzy Continuous Entropy-Grey Relative Degree

ZHANG Junfang, ZHOU Ligang, ZHANG Chunfang, XU Xin, XIAO Jian   

  1. 1.School of Mathematical Science, Anhui University, Hefei 230601, China
    2.School of Economics and Management, Civil Aviation University of China, Tianjin 300300, China
  • Online:2021-08-01 Published:2021-07-26



  1. 1.安徽大学 数学科学学院,合肥 230601
    2.中国民航大学 经济与管理学院,天津 300300


Interval-valued Pythagorean hesitant fuzzy set, which can describe the decision results of decision makers more comprehensively and completely, it can be considered as a powerful tool for expressing uncertain information in process of decision making. For the decision-making problems with vague information, this paper presents a multiple attribute decision making approach based on interval-valued Pythagorean hesitant fuzzy continuous entropy. This paper presents Continuous Interval-valued Pythagorean Fuzzy Ordered Weighted Average(CIPHFOWA) Operator and Interval-valued Pythagorean Hesitant Fuzzy Continuous entropy. Meanwhile, it proposes a method to determine the weights of attributes when their weights are completely unknown and partially known. Finally, an approach based on interval-valued Pythagorean hesitant fuzzy continuous entropy-grey relative degree is developed. Meanwhile, an evaluation case on the perfection of new rural medical system is provided to illustrate the feasibility and effectiveness of the proposed method.

Key words: multi-criteria decision making, interval-valued Pythagorean hesitant fuzzy set, continuous entropy, CIPHFOWA operator



关键词: 多属性决策, 区间Pythagorean犹豫模糊集, 连续熵, CIPHFOWA算子