Fuzzy implications derived from additive generators of continuous Archimedean t-norms

Authors:
Hua-Wen Liu;Zhen-Bo Li_aff1n2
Affiliations:
af1 School of Mathematics, Shandong University, Jinan, Shandong 250100, China;af2 School of Statistics, Shandong University of Finance and Economics, Jinan, Shandong 250014, People's Republic of China
Venue:
International Journal of Intelligent Systems
Year:
2012

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Abstract

One class of fuzzy implications is introduced by means of the additive generators of continuous Archimedean t-norms. Basic properties of these implications are discussed. These implications are shown to be different from the known (S,N)-, R-, QL-, and Yager's f- and g-implications. Several functional equations with fuzzy implications are investigated. © 2012 Wiley Periodicals, Inc. © 2012 Wiley Periodicals, Inc.