﻿ 一种模糊多属性决策选优算法

# 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

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.

[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.

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