Approximate evaluations based on aggregation functions

Authors:
Slavka Bodjanova;Martin Kalina
Affiliations:
Department of Mathematics, Texas A&M University-Kingsville, MSC 172, Kingsville, TX 78363, USA;Department of Mathematics, Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, 81368 Bratislava, Slovakia
Venue:
Fuzzy Sets and Systems
Year:
2013

Citing 7
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Abstract

Aggregation of real-valued evaluations of elements x, y from a set U is investigated in order to find an approximate evaluation of the composition of x and y performed by a binary operation defined on U. The notions of a lower bound and an upper bound of an evaluation function with respect to a binary operation are introduced and illustrated with examples. Approximate evaluations of composite concepts described by the union of granules of a finite fuzzy set are studied in detail.