6533b85cfe1ef96bd12bc8a5

RESEARCH PRODUCT

On Extensional Fuzzy Sets Generated by Factoraggregation

Pavels OrlovsSvetlana Asmuss

subject

AlgebraOperator (computer programming)Basis (linear algebra)Approximations of πFuzzy setEquivalence relationBilevel linear programmingExtensional definitionFuzzy equivalence relationMathematics

description

We develop the concept of a general factoraggregation operator introduced by the authors on the basis of an equivalence relation and applied in two recent papers for analysis of bilevel linear programming solving parameters. In the paper this concept is generalized by using a fuzzy equivalence relation instead of the crisp one. We show how the generalized factoraggregation can be used for construction of extensional fuzzy sets and consider approximations of arbitrary fuzzy sets by extensional ones.

yearjournalcountryeditionlanguage
2014-01-01
https://doi.org/10.1007/978-3-319-08852-5_33