An approach to the selection of fuzzy connectives in terms of their additive generators

Authors:
J. Leventides;A. Bounas
Affiliations:
Institute of Informatics and Telecommunications, National Centre for Scientific Research, 'demokritos', 15310 Ag. Paraskeevi, Attikis, Greece;Institute of Informatics and Telecommunications, National Centre for Scientific Research, 'demokritos', 15310 Ag. Paraskeevi, Attikis, Greece
Venue:
Fuzzy Sets and Systems
Year:
2002

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Abstract

The use of T-norms and T-conorms can be considered vital for more flexible and reliable fuzzy logic controllers. There are methods of generating T-norms and T-conorms in terms of additive generators, which are functions f: [0, 1] → [0, ∞]. The purpose of this paper is to explore the various properties of generators in terms of their generating functions.