基于比较可能度的多属性决策方法

doi:10.11772/j.issn.1001-9081.2017.08.2223

计算机应用 ›› 2017, Vol. 37 ›› Issue (8): 2223-2228.DOI: 10.11772/j.issn.1001-9081.2017.08.2223

基于比较可能度的多属性决策方法

胡鑫^1,2, 常文军^1,2, 孙超平^1,2

1. 合肥工业大学管理学院, 合肥 230009;
2. 过程优化与智能决策教育部重点实验室, 合肥 230009

收稿日期:2017-02-20 修回日期:2017-04-24 出版日期:2017-08-10 发布日期:2017-08-12
通讯作者: 常文军
作者简介:胡鑫(1994-),女,辽宁铁岭人,硕士研究生,主要研究方向:决策理论与方法;常文军(1991-),男,安徽芜湖人,硕士研究生,主要研究方向:决策理论与方法;孙超平(1973-),男,安徽怀宁人,副教授,博士,主要研究方向:云计算环境下管理决策方法。
基金资助:
国家自然科学基金资助项目（71201043，71571060）；教育部人文社会科学研究规划基金项目（14YJA630051）。

Multi-attribute decision making method based on comparison possibility degree

HU Xin^1,2, CHANG Wenjun^1,2, SUN Chaoping^1,2

1. School of Management, Hefei University of Technology, Hefei Anhui 230009, China;
2. Key Laboratory of Process Optimization and Intelligent Decision-making, Ministry of Education, Hefei Anhui 230009, China

Received:2017-02-20 Revised:2017-04-24 Online:2017-08-10 Published:2017-08-12
Supported by:
This work is partially supported by the National Natural Science Foundation of China (71201043,71571060),the Ministry of Education,Humanities and Social Sciences Planning Project (14YJA630051).

摘要/Abstract

摘要： 围绕多等级上同时考虑优于、劣于、无差异和不确定等四种成对方案间关系的不同分布式偏好关系（DPR），提出一种基于其比较可能度的属性权重未知的多属性决策方法。首先，利用各等级的得分值将分布式偏好关系转为得分值区间，并基于得分值区间构造服从均匀分布的分布式偏好关系比较可能度；其次，通过理论分析证明其与未考虑分布的比较可能度间的大小关系及其取值差异范围；最后运用提出的比较可能度形成属性权重未知的多属性决策流程，产生高辨识度的决策解。将提出的方法运用于求解芜湖市战略性新兴产业的评估问题，验证了方法的正确性和有效性。

关键词: 分布式偏好关系, 得分值区间, 比较可能度, 多属性决策, 属性权重

Abstract: Based on comparison possibility degree of Distributed Preference Relation (DPR) considering four pairwise relations of alternatives including superiority, inferiority, indifference and uncertainty, a multi-attribute decision making method with unknown attribute weights was proposed. Firstly, DPRs were transformed to score intervals by using grade scores. Based on the score intervals, the comparison possibility degree of DPR with consideration of uniform distribution was constructed. Secondly, the relationship between comparison possibility degree and the difference range of values of the proposed possibility degree and the possibility degree without considering probability distribution were theoretically analyzed and proven. At last, by using the proposed possibility degree, a multiple attribute decision making process considering unknown attribute weights was generated. Meanwhile, a high recognizable decision solution was created. The proposed method was applied to evaluate the strategic emerging industries of Wuhu, which verified the applicability and validity of the method.

Key words: Distributed Preference Relation (DPR), score interval, comparison possibility degree, multi-attribute decision making, attribute weight

中图分类号:

TP18

胡鑫, 常文军, 孙超平. 基于比较可能度的多属性决策方法[J]. 计算机应用, 2017, 37(8): 2223-2228.

HU Xin, CHANG Wenjun, SUN Chaoping. Multi-attribute decision making method based on comparison possibility degree[J]. Journal of Computer Applications, 2017, 37(8): 2223-2228.

参考文献

[1] SAATY T L. The Analytic Hierarchy Process[M]. New York:McGraw-Hill Inc, 1980:1-3.
[2] ORLOVSKY S A. Decision-making with a fuzzy preference relation[J]. Fuzzy Sets and Systems, 1978, 1(3):155-167.
[3] FU C, XU D-L, YANG S-L. Distributed preference relations for multiple attribute decision analysis[J]. Journal of the Operational Research Society, 2016, 67(3):457-473.
[4] HERRERA-VIEDMA E, HERRERA F, CHICLANA F, et al. Some issues on consistency of fuzzy preference relations[J]. European Journal of Operational Research, 2004, 154(1):98-109.
[5] SZMIDT E, KACPRZYK J. A consensus-reaching process under intuitionistic fuzzy preference relations[J]. International Journal of Intelligent Systems, 2003, 18(7):837-852.
[6] HERRERA F, HERRERA-VIEDMA E. Choice functions and mechanisms for linguistic preference relations[J]. European Journal of Operational Research, 2000, 120(1):144-161.
[7] XU Z. Deviation measures of linguistic preference relations in group decision making[J]. Omega, 2005, 33(3):249-254.
[8] TAO Z, LIU X, CHEN H, et al. Group decision making with fuzzy linguistic preference relations via cooperative games method[J]. Computers & Industrial Engineering, 2015, 83(C):184-192.
[9] WU Z, XU J. Managing consistency and consensus in group decision making with hesitant fuzzy linguistic preference relations[J]. Omega, 2016, 65:28-40.
[10] 付超,侯震.基于多等级方案成对比较的决策方法[J].控制与决策,2015,30(10):1828-1834. (FU C, HOU Z. Decision method based on pairwise comparison of alternatives on multiple grades[J]. Control and Decision, 2015, 30(10):1828-1834.)
[11] 徐泽水,达庆利.区间数的排序方法研究[J].系统工程,2001,19(6):94-96. (XU Z S, DA Q L. Research on method for ranking interval numbers[J]. Systems Engineering, 2001, 19(6):94-96.)
[12] 张全,樊治平,潘德惠.不确定性多属性决策中区间数的一种排序方法[J].系统工程理论与实践,1999,19(5):129-133. (ZHANG Q, FAN Z P, PAN D H. A ranking approach for interval numbers in uncertain multiple attribute decision making problems[J]. System Engineering Theory and Practice, 1999, 19(5):129-133.)
[13] 徐泽水,达庆利.区间数排序的可能度法及其应用[J].系统工程学报,2003,18(1):67-70. (XU Z S, DA Q L. Possibility degree method for ranking interval numbers and its application[J]. Journal of Systems Engineering, 2003, 18(1):67-70.)
[14] NAKAHARA Y, SASAKI M, GEN M. On the linear programming problems with interval coefficients[J]. Computers & Industrial Engineering, 1992, 23(1/2/3/4):301-304. https://doi.org/10.1016/0360-8352(92)90121-Y
[15] 张全,樊治平.区间数多属性决策中一种带有可能度的排序方法[J].控制与决策,1999,14(6):703-706,711. (ZHANG Q, FAN Z P. A ranking approach with possibilities for multiple attribute decision making problems with intervals[J]. Control and Decision, 1999, 14(6):703-706, 711.)
[16] 李霞,张绍林,张淼,等.基于新距离测度的区间数排序[J].西华大学学报(自然科学版),2008,27(1):87-90. (LI X, ZHANG S L, ZHANG M, et al. Rank of interval numbers based on a new distance measure[J]. Journal of Xihua University (Natural Science), 2008, 27(1):87-90.)

基于比较可能度的多属性决策方法

Multi-attribute decision making method based on comparison possibility degree

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