A procedure for decision making based on incomplete fuzzy preference relation

被引：5

作者：

Xu Z. ^{[1
]}

机构：

[1] College of Economics and Management, Southeast University, Nanjing

来源：

Fuzzy Optimization and Decision Making | 2005年 / 4卷 / 3期

基金：

中国博士后科学基金;

关键词：

Decision making; Fuzzy preference relation; Incomplete fuzzy preference relation; Priority; Transitivity;

D O I：

10.1007/s10700-005-1887-y

中图分类号：

学科分类号：

摘要：

In this paper, we investigate the decision making problem based on fuzzy preference relation with incomplete information. We first introduce incomplete fuzzy preference relation and present some of its desirable properties. We then develop a system of equations. Based on this system of equations, we propose a procedure for decision making based on incomplete fuzzy preference relation, and finally, a numerical example is presented to illustrate the proposed procedure. © 2005 Springer Science+Business Media, Inc.

引用

页码：175 / 189

页数：14

共 22 条

[1] Chiclana F., Herrera F., Herrera-Viedma E., Integrating multiplicative preference relations in a multipurpose decision-making based on fuzzy preference relations, Fuzzy Sets and Systems, 122, pp. 277-291, (2001)
[2] Dubois D., Prade H., Fuzzy Sets and Systems: Theory and Application, (1980)
[3] Herrera-Viedma E., Herrera F., Chiclana F., Luque M., Some issues on consistency of fuzzy preference relations, European Journal of Operational Research, 154, pp. 98-109, (2004)
[4] Kacprzyk J., Group decision making with a fuzzy linguistic majority, Fuzzy Sets and Systems, 18, pp. 105-118, (1986)
[5] Kitainik L., Fuzzy Decision Procedures with Binary Relations, Towards a Unified Theory, (1993)
[6] Lipovetsky S., Conklin M.M., Robust estimation of priorities in the AHP, European Journal of Operational Research, 137, pp. 110-122, (2002)
[7] Luce R.D., Suppes P., Preferences utility and subject probability, Handbook of Mathematical Psychology, 3, pp. 249-410, (1965)
[8] Nurmi H., Approaches to collective decision making with fuzzy preference relations, Fuzzy Sets and Systems, 6, pp. 249-259, (1981)
[9] Orlovsky S.A., Decision making with a fuzzy preference relation, Fuzzy Sets and Systems, 1, pp. 155-167, (1978)
[10] Roubens M., Some properties of choice functions based on valued binary relations, European Journal of Operational Research, 40, pp. 309-321, (1989)

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