On compatibility of interval fuzzy preference relations

被引：25

作者：

Xu Z. ^{[1
]}

机构：

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

来源：

Fuzzy Optimization and Decision Making | 2004年 / 3卷 / 3期

基金：

中国博士后科学基金;

关键词：

Compatibility degree; Compatibility index; Interval fuzzy preference relation;

D O I：

10.1023/B:FODM.0000036864.33950.1b

中图分类号：

学科分类号：

摘要：

This paper defines the concept of compatibility degree of two interval fuzzy preference relations, and gives a compatibility index of two interval fuzzy preference relations. It is proven that an interval fuzzy preference relation B and the synthetic interval fuzzy preference relation of interval fuzzy preference relations A1, A2,...,As, are of acceptable compatibility under the condition that the interval fuzzy preference relation B and each of the interval fuzzy preference relations A 1, A2,...,A, are of acceptable compatibility, and thus a theoretic basis has been developed for the application of the interval fuzzy preference relations in group decision making.

引用

页码：217 / 225

页数：8

共 19 条

[1] Chiclana F., Herrera F., Herrera-Viedma E., Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations, Fuzzy Sets and System, 97, pp. 33-48, (1998)
[2] Fodor J., Roubens M., Fuzzy Preference Modelling and Multicriteria Decision Support, (1994)
[3] Herrera F., Herrera-Viedma E., Verdegay J.L., A sequential selection process in group decision-making with linguistic assessment, Information Science, 85, pp. 223-239, (1995)
[4] Herrera F., Herrera-Viedma E., Chiclana F., Multiperson decision-making based on multiplicative preference relations, European Journal of Operational Research, 129, pp. 372-385, (2001)
[5] Kacprzyk J., Group decision making with a fuzzy linguistic majority, Fuzzy Sets and Systems, 18, pp. 105-118, (1986)
[6] Kacprzyk J., Roubens M., Non-conventional Preference Relations in Decision-making, (1988)
[7] Lipovetsky S., Conklin W.M., Robust estimation of priorities in the AHP, European Journal of Operational Research, 137, pp. 110-122, (2002)
[8] Nurmi H., Approaches to collective decision making with fuzzy preference relations, Fuzzy Sets and System, 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] Ramanathan E., Ganesh L.S., Group preference aggregation methods employed in AHP: An evaluation and an intrinsic process for deriving members' weightages, European Journal of Operational Research, 79, pp. 249-265, (1994)

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