基于相对熵的区间Pythagorean模糊多属性AQM决策方法及其应用

doi:10.12005/orms.2019.0010

运筹与管理 ›› 2019, Vol. 28 ›› Issue (1): 79-85.DOI: 10.12005/orms.2019.0010

基于相对熵的区间Pythagorean模糊多属性AQM决策方法及其应用

李娜^1,2, 高雷阜², 王磊¹

1.辽宁工程技术大学基础教学部,辽宁葫芦岛 125105;
2. 辽宁工程技术大学理学院,辽宁阜新 123000

收稿日期:2017-08-21 出版日期:2019-01-25
作者简介:李娜(1980-),女,辽宁大石桥人,讲师,博士研究生,研究方向:不确定性决策理论与方法,随机优化;高雷阜(1963-),男,辽宁阜新人,教授,博士生导师,研究方向:最优化理论与方法,混沌动力系统预测,供应链网络优化;王磊(1978-),男,黑龙江鸡西人,副教授,博士,研究方向:模糊系统、模糊决策。
基金资助:
高等学校博士学科点专项科研基金联合资助项目(20132121110009)

AQM Method with Interval-Valued Pythagorean Fuzzy Information Based on Relative Entropy and Its Application

LI Na^1,2, GAO Lei-fu², WANG Lei¹

1.Department of Basic Teaching, Liaoning Technical University, Huludao 125105, China;
2.College of Science, Liaoning Technical University, Fuxin 123000 , China

Received:2017-08-21 Online:2019-01-25

摘要/Abstract

摘要： 针对决策信息为区间Pythagorean模糊数,属性权重不完全确定的多属性决策问题,提出了一种基于相对熵的AQM决策方法。首先,提出区间Pythagorean模糊数的相对熵,计算了各方案与区间Pythagorean模糊正理想方案和负理想方案间的相对熵,据此构建了基于方案相对满意度最大的非线性规划属性权重确定模型;其次,针对每个属性,利用新的区间Pythagorean模糊数得分函数计算方案的0-1优先关系矩阵,依据AQM方法对所有0-1优先关系矩阵进行融合得到合成0-1优先关系矩阵,并确定了方案的综合度,由此获得方案的排序。最后,以软件开发项目的选取为实例说明了该方法的可行性和有效性。

关键词: 区间Pythagorean模糊数, 相对熵, 0-1优先关系矩阵, AQM, 多属性决策

Abstract: For the problem of multi-attribute decision making, in which the attribute values are the interval-valued Pythagorean fuzzy numbers and the information about criteria weights is incomplete, a decision making method is proposed based on relative entropy and AQM method. Firstly, the relative entropy of interval-valued Pythagorean fuzzy numbers is defined, the relative entropy between alternative and ideal(critical)alternative is obtained, and an optimization model is established to obtain the criteria weights. Then, the 0-1precedence relationship matrix for each alternative on each attribute is given by using a new score function, and according to AQM method, the combination 0-1precedence relationship matrix of alternatives is composed. Furthermore, the comprehensive scale is obtained and a ranking of alternatives can be determined by using the comprehensive scale. Finally, the method is used to select a software development project so as to verify the effectiveness and feasibility.

Key words: interval-valued Pythagorean fuzzy number, relative entropy, 0-1 precedence relationship matrix, AQM(Alternative queuing method), multi-attribute decision making

中图分类号:

C934

李娜, 高雷阜, 王磊. 基于相对熵的区间Pythagorean模糊多属性AQM决策方法及其应用[J]. 运筹与管理, 2019, 28(1): 79-85.

LI Na, GAO Lei-fu, WANG Lei. AQM Method with Interval-Valued Pythagorean Fuzzy Information Based on Relative Entropy and Its Application[J]. Operations Research and Management Science, 2019, 28(1): 79-85.

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基于相对熵的区间Pythagorean模糊多属性AQM决策方法及其应用

AQM Method with Interval-Valued Pythagorean Fuzzy Information Based on Relative Entropy and Its Application

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