Title :
Compositions of fuzzy relations with hedges II
Author :
Bartl, Eduard ; Belohlavek, Radim ; Vychodil, Vilem
Author_Institution :
Data Anal. & Modeling Lab., Binghamton Univ.-SUNY, Binghamton, NY
Abstract :
We continue our previous paper and explore an extension of compositions of fuzzy relations. The extension consists in modifying the standard formulas for composition by particular unary functions on the set of truth degrees. We study fuzzy relational equations using the new composition operators. As a particular example, the new operators lead to a decomposition of a fuzzy relation into a crisp relation and a fuzzy relation. We provide solvability criteria for several types of fuzzy relational equations. In addition, we present a connection between the new compositions and a particular type of data dependencies.
Keywords :
fuzzy logic; fuzzy set theory; crisp relation; fuzzy logic; fuzzy relational equation; fuzzy set theory; hedges II; unary function; Boolean algebra; Calculus; Data analysis; Equations; Fuzzy logic; Fuzzy set theory; Fuzzy sets; Lattices; Logic functions;
Conference_Titel :
Fuzzy Information Processing Society, 2008. NAFIPS 2008. Annual Meeting of the North American
Conference_Location :
New York City, NY
Print_ISBN :
978-1-4244-2351-4
Electronic_ISBN :
978-1-4244-2352-1
DOI :
10.1109/NAFIPS.2008.4531227
