Graded Dominance and Related Graded Properties of Fuzzy Connectives

Authors: Libor Běhounek, U. Bodenhofer, Petr Cintula, S. Saminger-Platz, P. Sarkoci
Publication year: 2015
Publication type: Článek v odborném periodiku
Periodical: Fuzzy Sets and Systems
Projects: Logic-based fuzzy mathematics
Mathematical Fuzzy Logic in Computer Science
Bibliographic citation: BĚHOUNEK, Libor, BODENHOFER, U., CINTULA, Petr, SAMINGER-PLATZ, S., SARKOCI, P. Graded Dominance and Related Graded Properties of Fuzzy Connectives. Fuzzy Sets and Systems. 2015, 262(1 March), 78-101. ISSN 0165-0114. E-ISSN 1872-6801
Dostupné z: doi:10.1016/j.fss.2014.04.025
DOI: 10.1016/j.fss.2014.04.025
ID: 428412

Abstract

Graded properties of binary and unary fuzzy connectives (valued in MTL-Delta algebras) are studied, including graded monotony, a generalized Lipschitz property, commutativity, associativity, unit and null elements, and the dominance relation between fuzzy connectives. The apparatus of Fuzzy Class Theory (or higher-order fuzzy logic) is employed as a tool for easy derivation of graded theorems on the connectives.