6533b86dfe1ef96bd12c93fa

RESEARCH PRODUCT

Upper and lower approximations of general aggregation operators based on fuzzy rough sets

Svetlana AsmussPavels Orlovs

subject

Discrete mathematicsPure mathematicsFuzzy classificationFuzzy mathematicsFuzzy setFuzzy set operationsFuzzy numberRough setFuzzy subalgebraDefuzzificationMathematics

description

Our paper deals with constructions of upper and lower general aggregation operators which act on fuzzy sets. These constructions are based on fuzzy rough sets and provide two approximations (upper and lower) of the pointwise extension and the t-extension of an ordinary aggregation operator. Considering two lattices of corresponding general aggregation operators we describe two approximate systems with respect to a lattice of fuzzy equivalence relations.

https://doi.org/10.1109/fskd.2015.7381950