基于前景理论的三角犹豫模糊多属性决策方法

doi:10.12005/orms.2019.0148

运筹与管理 ›› 2019, Vol. 28 ›› Issue (7): 26-33.DOI: 10.12005/orms.2019.0148

基于前景理论的三角犹豫模糊多属性决策方法

王娟¹, 金智新^1,2,3, 邓存宝^3,4, 方博⁴

1.辽宁工程技术大学工商管理学院,辽宁葫芦岛 125105;
2.山西焦煤集团有限责任公司,山西太原 030024;
3.太原理工大学安全与应急管理工程学院,山西太原 030024;
4.辽宁工程技术大学安全科学与工程学院,辽宁葫芦岛 125105

收稿日期:2018-01-25 出版日期:2019-07-25
作者简介:王娟(1984-)女,山东烟台人,博士研究生,从事模糊决策及应急管理等方面的研究;金智新(1959-)男,满族,辽宁锦州人,中国工程院院士,教授级高级工程师,博士生导师,从事模糊决策及应急管理等方面的研究。
基金资助:
国家自然科学基金“基于数据挖掘的煤矿安全风险评价体系研究”(71371091)

Multiple Attribute Decision Making Method for HesitantTriangular Fuzzy Based on Prospect Theory

WANG Juan¹, JIN Zhi-xin^1,2,3, DENG Cun-bao^3,4, FANG Bo⁴

1.School of Business Administration, Liaoning Technical University, Huludao 125105, China;
2.Shanxi Coking Coal Refco Group Ltd, Taiyuan 030024, China;
3.College of Safety and Emergency Management Engineering, Taiyuan University of Technology, Taiyuan 030024, China;
4. School of Safety Science and Engineering, Liaoning Technical University, Huludao 125105, China

Received:2018-01-25 Online:2019-07-25

摘要/Abstract

摘要： 针对属性权重信息完全未知,属性值为三角犹豫模糊元的多属性决策问题,提出一种基于前景理论和模糊结构元的决策分析方法。首先,基于模糊结构元理论,定义三角犹豫模糊元的结构元形式和海明距离公式,并通过求解属性间距离离差最大化的优化模型确定权重。其次,依据前景理论,分别以正负理想点作为决策参照点,构建收益矩阵和损失矩阵。在此基础上,应用TOPSIS方法计算各备选方案的相对贴近度,并依据相对贴近度的大小实现备选方案排序。最后,通过算例验证方法是有效和可行的。

关键词: 三角犹豫模糊集, 多属性决策, 前景理论, 模糊结构元

Abstract: For multiple attribute decision making problems, in which the attribute weights are unknown completely and attribute values are in the form of hesitant triangular fuzzy element, the decision making method based on the prospect theory and fuzzy structured element is proposed. Firstly, according to the fuzzy structured element theory, the structured element form and Hamming distance formula of hesitant triangular fuzzy element are defined. Then, an optimization model based on the distance deviation of attribute values is constructed and the weight vector of attributes is obtained through solving the model. Furthermore, based on the main idea of prospect theory, the positive-ideal point and negative-ideal point are regarded as the reference points. And the income matrix and loss matrix are constructed respectively. Moreover, according to the method of TOPSIS, the relative closeness of each scheme is calculated to rank the alternatives. Finally, a numerical example is provided to illustrate the validity and feasibility of the proposed method.

Key words: hesitant triangular fuzzy set, multiple attribute decision making, prospect theory, fuzzy structured element

中图分类号:

C934

王娟, 金智新, 邓存宝, 方博. 基于前景理论的三角犹豫模糊多属性决策方法[J]. 运筹与管理, 2019, 28(7): 26-33.

WANG Juan, JIN Zhi-xin, DENG Cun-bao, FANG Bo. Multiple Attribute Decision Making Method for HesitantTriangular Fuzzy Based on Prospect Theory[J]. Operations Research and Management Science, 2019, 28(7): 26-33.

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基于前景理论的三角犹豫模糊多属性决策方法

Multiple Attribute Decision Making Method for HesitantTriangular Fuzzy Based on Prospect Theory

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