On the properties of OWA operator weights functions with constant level of orness
- 31 July 2006
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Fuzzy Systems
- Vol. 14 (4), 511-515
- https://doi.org/10.1109/tfuzz.2006.876741
Abstract
The result of aggregation performed by the ordered weighted averaging (OWA) operator heavily depends upon the weighting vector used. A number of methods have been presented for obtaining the associated weights. In this paper, we present analytic forms of OWA operator weighting functions, each of which has properties of rank-based weights and a constant level of orness, irrespective of the number of objectives considered. These analytic forms provide significant advantages for generating the OWA weights over previously reported methods. First, the OWA weights can be efficiently generated by using proposed weighting functions without solving a complicated mathematical program. Moreover, convex combinations of these specific OWA operators can be used to generate the OWA operators with any predefined values of orness once specific values of orness are a priori stated by the decision maker. Those weights have a property of constant level of orness as well. Finally, the OWA weights generated at a predefined value of orness make almost no numerical difference with maximum entropy OWA weights in terms of dispersionKeywords
This publication has 15 references indexed in Scilit:
- An overview of operators for aggregating informationInternational Journal of Intelligent Systems, 2003
- An analytic approach for obtaining maximal entropy OWA operator weightsFuzzy Sets and Systems, 2001
- Including importances in OWA aggregations using fuzzy systems modelingIEEE Transactions on Fuzzy Systems, 1998
- On the issue of obtaining OWA operator weightsFuzzy Sets and Systems, 1998
- A model of consensus in group decision making under linguistic assessmentsFuzzy Sets and Systems, 1996
- Fuzzy aggregation of modular neural networks with ordered weighted averaging operatorsInternational Journal of Approximate Reasoning, 1995
- Analysis of flexible structured fuzzy logic controllersIEEE Transactions on Systems, Man, and Cybernetics, 1994
- On a semantics for neural networks based on fuzzy quantifiersInternational Journal of Intelligent Systems, 1992
- Connectives and quantifiers in fuzzy setsFuzzy Sets and Systems, 1991
- On ordered weighted averaging aggregation operators in multicriteria decisionmakingIEEE Transactions on Systems, Man, and Cybernetics, 1988