基于直觉模糊数的多因素变权综合决策方法
Multi-Factor Variable Weight Comprehensive Decision-Making Method Based on Intuitionistic Fuzzy Number
桂丹萍 1李德清 2曾文艺3
作者信息
- 1. 闽南科技学院通识教育学院,福建 泉州 362300
- 2. 广东东软学院基础教学院,广东 佛山 528225
- 3. 北京师范大学人工智能学院,北京 100875
- 折叠
摘要
将直觉模糊数视为极坐标系中的一个点,给出一种新的直觉模糊数表示方法.随后,定义一种新的直觉模糊数的度量值,即能量函数值.利用能量函数值,提出了一种新的直觉模糊数排序方法.进一步,借助实数型状态变权向量和能量函数向量,构建了直觉模糊数的状态变权向量,进而给出因素权重为实数但因素状态值为直觉模糊数的变权公式,同时建立了直觉模糊变权综合决策模型.最后,通过一个应用实例验证了本文方法的科学性和实用性.
Abstract
Taking intuitionistic fuzzy number as a point in polar coordinate system,a new representation of intuitionistic fuzzy number is given.Then,a new measure of intuitionistic fuzzy number is defined,that is energy function value.A new ranking method of intuitionistic fuzzy numbers is proposed by using the values of energy functions.Furthermore,the state variable weight vector of intuitionistic fuzzy number is constructed by means of real state variable weight vector and energy function vector.Subsequently,the variable weight formula is given in which the factor weights are real numbers but the values of factors are intuitionistic fuzzy numbers.At the same time,the intuitionistic fuzzy comprehensive decision model with variable weight is established.Finally,an application example is given to verify the scientificity and practicality of the proposed method.
关键词
直觉模糊数/能量函数/直觉模糊状态变权向量/直觉模糊变权综合决策模型Key words
intuitionistic fuzzy number/energy function/state variable weight vector of intuitionistic fuzzy number/intuitionistic fuzzy variable weight comprehensive decision model引用本文复制引用
出版年
2024
NETL
NSTL
万方数据