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Pythagorean犹豫模糊交叉熵的多属性决策方法
引用本文:张俊芳,周熠烜,周礼刚,肖箭.Pythagorean犹豫模糊交叉熵的多属性决策方法[J].计算机工程与应用,2020,56(9):198-203.
作者姓名:张俊芳  周熠烜  周礼刚  肖箭
作者单位:安徽大学 数学科学学院,合肥 230601
基金项目:国家自然科学基金;安徽大学科研训练计划项目;安徽省高校省级自然科学研究重点项目;安徽省学术和技术带头人及后备人选;安徽大学创新训练项目;安徽省杰出青年基金
摘    要:针对决策信息为Pythagorean犹豫模糊数的多属性群决策问题,提出一种基于Pythagorean犹豫模糊交叉熵的多属性群决策方法。引入Pythagorean犹豫模糊交叉熵的概念。以Pythagorean犹豫模糊交叉熵作为决策信息差异程度的度量,提出专家权重和属性权重的确定模型。提出一种基于Pythagorean犹豫模糊熵的TOPSIS方法,并通过光伏电站选址案例说明了该方法的可行性和有效性。

关 键 词:多属性群决策  Pythagorean犹豫模糊交叉熵  属性权重  TOPSIS  

Approach to Multiple Attribute Decision Making Based on Pythagorean Hesitant Fuzzy Cross Entropy
ZHANG Junfang,ZHOU Yixuan,ZHOU Ligang,XIAO Jian.Approach to Multiple Attribute Decision Making Based on Pythagorean Hesitant Fuzzy Cross Entropy[J].Computer Engineering and Applications,2020,56(9):198-203.
Authors:ZHANG Junfang  ZHOU Yixuan  ZHOU Ligang  XIAO Jian
Affiliation:School of Mathematical Science, Anhui University, Hefei 230601, China
Abstract:For the multiple attribute group decision-making problems with Pythagorean hesitant fuzzy numbers, this paper presents a multiple attribute group decision making approach based on Pythagorean hesitant fuzzy cross entropy.Adefinition of Pythagorean hesitant fuzzy cross entropy is proposed. Taking entropy as a measure of the difference degree on decision information, models to determining the weight of decision makers and attributes in multi-attribute group decision making are put forward. An approach of TOPSIS based on Pythagorean hesitant fuzzy cross entropy is developed. Meanwhile, an example on location of photovoltaic power station project is provided to illustrate the feasibility and effectiveness of the proposed method.
Keywords:multi-attribute group decision making  Pythagorean hesitant fuzzy cross entropy  weight of attributes  TOPSIS
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