一种模糊多属性决策选优算法
An Algorithm to Select Satisfying Alternative for Fuzzy Multiple Attribute Decision Making Problem

作者: 蒋莹莹 :云南师范大学,数学学院,云南 昆明;

关键词: 排序准则L-R模糊数非线性效用函数Sorting Rule L-R Fuzzy Number Nonlinear Utility Function

摘要:
在属性指标值为L-R模糊数情况下,利用排序准则将含有模糊数的决策规划模型转换成普通决策规划模型。基于非线性效用函数与级别优于关系相结合的方法提出一种多属性决策算法帮助决策者对方案集中方案进行选优。

Abstract: In this paper, the decision programming with L-R fuzzy number changed into common decision programming by sorting rule. A multi-attribute decision algorithm is presented to help decision- maker find the best alternative from alternatives set based on nonlinear utility function and out-ranking relation.

文章引用: 蒋莹莹 (2017) 一种模糊多属性决策选优算法。 运筹与模糊学, 7, 22-30. doi: 10.12677/ORF.2017.71003

参考文献

[1] Bous, G., Fortemps, P., Glineur, F., et al. (2010) ACUTA: A Novel Method for Additive Function on Basis of Holistic Preference Statements. European Journal of Operational Research, 206, 435-444. https://doi.org/10.1016/j.ejor.2010.03.009

[2] Angilella, S., Creco, S. and Matarazzo, B. (2010) Non-Additive Robust Ordinal Regression: A Multiple Criteria Decision Model Based on the Choquet Integra. European Journal of Operational Research, 201, 277-288. https://doi.org/10.1016/j.ejor.2009.02.023

[3] Yoon, K. (1989) Propagation of Errors in Multiple Attribute Decision Analysis: A Practical Approach. Journal of the Operation Research Society, 40, 681-686. https://doi.org/10.1057/jors.1989.111

[4] 樊治平, 郭亚军. 误差分析理论在区间数多属性决策问题中的应用[J]. 东北大学学报, 1997, 18(5): 550-560.

[5] 徐泽水. 不确定多属性决策方法及应用[M]. 北京: 清华大学出版社, 2004.

[6] 李荣均. 模糊多准则决策理论与应用[M]. 北京: 科学出版社, 2002.

[7] Yager, R.R. (1988) On Ordered Weighted Averaging Aggregation Operators in Multi-Criteria Decision Making. IEEE Transactions on Systems, Man and Cybemeties, 18, 183-190. https://doi.org/10.1109/21.87068

[8] 岳超源. 决策理论与方法[M]. 北京: 科学出版社, 2013.

[9] Chankong, V. and Haimes, Y.Y. (1983) Multiobjective Decision Making: Theory and Methodology. Series Volume 8, Elsevier Science Publishing Co., New York, Amsterdam, Oxford, 67-85.

分享
Top