基于区间毕达哥拉斯犹豫模糊熵和交叉熵的ELECTRE II决策方法  

ELECTRE II Decision Making Method Based on Interval-valued Pythagorean Hesitant Fuzzy Entropy and Cross Entropy

作　　者：杨威[1] 李静 YANG Wei;LI Jing(School of Science,Xi'an University of Architecture and Technology,Xi'an 710055)

机构地区：[1]西安建筑科技大学理学院,西安710055

出　　处：《工程数学学报》2024年第3期525-539,共15页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(71971163);陕西省自然科学基金(2021JQ493).

摘　　要：针对属性权重完全未知或部分已知,属性值为区间毕达哥拉斯犹豫模糊数的多属性决策问题,提出了基于区间毕达哥拉斯犹豫模糊熵和交叉熵的ELECTRE II法。首先给出区间毕达哥拉斯犹豫模糊数的区间形式的得分函数和精度函数,定义新的距离测度。然后基于区间毕达哥拉斯犹豫模糊数的模糊因子、直觉因子和幅度因子,给出熵和交叉熵公式,并证明其性质,提出了基于熵和交叉熵确定属性权重的方法。最后提出了区间毕达哥拉斯犹豫模糊环境下的改进的ELECTRE II法,利用综合优势值对方案进行排序,并通过算例和比较分析验证了该方法的可行性和有效性。In view of the multi-attribute decision problem in which attribute weights are completely unknown or partially known and attribute values are in the form of interval-valued Pythagorean hesitant fuzzy numbers,ELECTRE II decision making method is proposed based on interval-valued Pythagorean hesitant fuzzy entropy and cross entropy.Firstly,new interval score function and interval accuracy function of interval-valued Pythagorean hesitant fuzzy number are defined,and a new distance measure is defined.Secondly,the entropy and cross entropy formula are given based on the fuzzy factor,intuitive factor and amplitude factor of interval-valued Pythagorean hesitant fuzzy number,and their properties are proved.A method to determine attribute weights based on entropy and cross entropy is proposed.Finally,intervalvalued Pythagorean hesitation fuzzy ELECTRE II method is proposed,and comprehensive precedence value is used to rank alternatives.The feasibility and effectiveness of the proposed method are verified by numerical example and comparative analysis.

关 键 词：多属性决策 区间毕达哥拉斯犹豫模糊集 熵 交叉熵 ELECTRE II法 

分 类 号：C934[经济管理—管理学]