Generalized OWA aggregation operators

被引：80

作者：

Yager R.R. ^{[1
]}

机构：

[1] Machine Intelligence Institute, Iona College, New Rochelle

来源：

Fuzzy Optimization and Decision Making | 2004年 / 3卷 / 1期

关键词：

Aggregation; Fuzzy sets; Generalized mean; OWA operators;

D O I：

10.1023/B:FODM.0000013074.68765.97

中图分类号：

学科分类号：

摘要：

We extend the ordered weighted averaging (OWA) operator to a provide a new class of operators called the generalized OWA (GOWA) operators. These operators add to the OWA operator an additional parameter controlling the power to which the argument values are raised. We look at some special cases of these operators. One important case corresponds to the generalized mean and another special case is the ordered weighted geometric operator.

引用

页码：93 / 107

页数：14

共 15 条

[1]

Chiclana F., Herrera F., Herrera-Viedma E., The ordered weighted geometric operator: Properties and applications, Proc. of 8th Int. Conference on Information Processing and Management of Uncertainty in Knowledge-based Systems, pp. 985-991, (2000)

[2]

Dyckhoff H., Pedrycz W., Generalized means as model of compensative connectives, Fuzzy Sets and Systems, 14, pp. 143-154, (1984)

[3]

Filev D.P., Yager R.R., On the issue of obtaining OWA operator weights, Fuzzy Sets and Systems, 94, pp. 157-169, (1998)

[4]

Herrera F., Herrera-Viedma E., Chiclana F., A study of the origins and uses of the ordered weighted geometric operator in multicriteria decision making, International Journal of Intelligent Systems

[5]

Hurwicz L., Optimally criteria for decision making under ignorance, Cowles Communication Discussion Paper, (1951)

[6]

Sugeno M., Fuzzy measures and fuzzy integrals: A survey, Fuzzy Automata and Decision Process, pp. 89-102, (1977)

[7]

Sugeno M., Murofushi T., Choquet lintegral as an integral form for a class of fuzzy measures, Proceedings of the Second IFSA Congress, pp. 408-411, (1987)

[8]

Xu Z.S., Da Q.L., The ordered weighted geometric averaging operator, International Journal of Intelligent Systems, 17, pp. 709-716, (2002)

[9]

Yager R.R., On ordered weighted averaging aggregation operators in multi-criteria decision making, IEEE Transactions on Systems, Man and Cybernetics, 18, pp. 183-190, (1988)

[10]

Yager R.R., Families of OWA operators, Fuzzy Sets and Systems, 59, pp. 125-148, (1993)

← 1 2 →