6533b7cefe1ef96bd125786a

RESEARCH PRODUCT

Upper and lower generalized factoraggregations based on fuzzy equivalence relation

Svetlana AsmussPavels Orlovs

subject

AlgebraDiscrete mathematicsFuzzy classificationFuzzy setEquivalence relationFuzzy numberGeneralized linear array modelFuzzy set operationsFuzzy subalgebraDefuzzificationMathematics

description

We develop the concept of a general factoraggre-gation 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. By using a left-continuous t-norm and its residuum we define and investigate two modifications of such generalized construction: upper and lower generalized factoraggregations. These generalized factoraggregations can be used for construction of extensional fuzzy sets.

yearjournalcountryeditionlanguage
2014-07-012014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)
https://doi.org/10.1109/fuzz-ieee.2014.6891835