区间Pythagorean犹豫模糊连续熵及灰色关联度的应用  

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

作　　者：张俊芳 周礼刚[1] 张春芳 徐鑫[1] 肖箭[1] ZHANG Junfang;ZHOU Ligang;ZHANG Chunfang;XU Xin;XIAO Jian(School of Mathematical Science,Anhui University,Hefei 230601,China;School of Economics and Management,Civil Aviation University of China,Tianjin 300300,China)

机构地区：[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

出　　处：《计算机工程与应用》2021年第15期207-214,共8页Computer Engineering and Applications

基　　金：国家自然科学基金(71771001,71701001,71501002,71871001,71901001,71901088);安徽省自然科学基金杰出青年基金(1908085J03);安徽省自然科学基金(1808085QG211);安徽省学术和技术带头人及后备人选资助项目(2018H179);高校优秀青年人才支持计划(gxyq2019236);安徽省教育厅人文社科重大项目(SK2019ZD55);安徽省高校人文社科基金重点项目(SK2019A0013,SK2018A0605);全国统计科学研究项目(2017LZ11)。

摘　　要：区间Pythagorean犹豫模糊集,可以更加全面完整地描述决策者给出的决策结果,因此它是一个表示不确定现象的强有力的工具。针对模糊信息下的决策问题,提出了一种基于区间Pythagorean犹豫模糊连续熵的多属性决策方法。提出连续区间Pythagorean犹豫模糊有序加权平均(CIPHFOWA)算子,并提出了区间Pythagorean犹豫模糊连续熵,同时给出了属性权重完全未知和部分已知时的权重确定方法;提出了一种基于区间Pythagorean犹豫模糊连续熵—灰色关联度的多属性决策方法,并通过新型农村医疗制度完善情况评价案例说明该方法的可行性和有效性。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.

关 键 词：多属性决策 区间Pythagorean犹豫模糊集 连续熵 CIPHFOWA算子 

分 类 号：O221.6[理学—运筹学与控制论]