A characterization of the ordered weighted averaging functions based on the ordered bisymmetry property
Open Access
- 1 January 1999
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Fuzzy Systems
- Vol. 7 (1), 93-96
- https://doi.org/10.1109/91.746319
Abstract
This paper deals with the characterization of a class of aggregation operators. This class concerns operators that are symmetric, increasing, stable for the same positive linear transformations, and present a property close to the bisymmetry property: the ordered bisymmetry property. It is proved that the class investigated contains exactly the ordered weighted averaging operators introduced by Yager (1988)Keywords
This publication has 6 references indexed in Scilit:
- On the use of fuzzy integral as a fuzzy connectivePublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- On nonstrict meansAequationes mathematicae, 1997
- On equivalence classes of fuzzy connectives-the case of fuzzy integralsIEEE Transactions on Fuzzy Systems, 1995
- Fuzzy Preference Modelling and Multicriteria Decision SupportPublished by Springer Nature ,1994
- On ordered weighted averaging aggregation operators in multicriteria decisionmakingIEEE Transactions on Systems, Man, and Cybernetics, 1988
- On mean valuesBulletin of the American Mathematical Society, 1948