Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
389551 | Fuzzy Sets and Systems | 2016 | 18 Pages |
Abstract
Our paper deals with special constructions of general aggregation operators, which are based on a fuzzy equivalence relation and provide upper and lower approximations of the pointwise extension of an ordinary aggregation operator. We consider properties of these approximations and explore their role in the context of extensional fuzzy sets with respect to the corresponding equivalence relation. We consider also upper and lower approximations of a t-norm extension of an ordinary aggregation operator. Finally, we describe an approximate system, considering the lattice of all general aggregation operators and the lattice of all fuzzy equivalence relations.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Pavels Orlovs, Svetlana Asmuss,