Journal
FUZZY SETS AND SYSTEMS
Volume 224, Issue -, Pages 36-52Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2012.10.012
Keywords
OWA operator; Interval-valued fuzzy sets; Sugeno integral; Distributive lattice; t-Norm; t-Conorm
Funding
- [MTM2010-19938-C03-03]
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In this paper the concept of an ordered weighted average (OWA) operator is extended to any complete lattice endowed with a t-norm and a t-conorm. In the case of a complete distributive lattice it is shown to agree with a particular case of the discrete Sugeno integral. As an application, we show several ways of aggregating closed intervals by using OWA operators. In a complementary way, the notion of generalized Atanassov's operators is weakened in order to be extended to intervals contained in any lattice. This new approach allows us to build a kind of binary aggregation functions for complete lattices, including OWA operators. (C) 2012 Elsevier B.V. All rights reserved.
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