Fuzzy implications derived from additive generators of continuous Archimedean t‐norms |
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| Authors: | Hua‐Wen Liu Zhen‐Bo Li |
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| Affiliation: | 1. School of Mathematics, Shandong University, Jinan, Shandong 250100, China;2. School of Statistics, Shandong University of Finance and Economics, Jinan, Shandong 250014, People's Republic of China |
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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. |
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