Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

(T,N) and Residual Fuzzy Co-Implication in Dual Heyting Algebra with Applications

Version 1 : Received: 2 August 2016 / Approved: 3 August 2016 / Online: 3 August 2016 (08:29:47 CEST)

How to cite: Jebril, I.H. (T,N) and Residual Fuzzy Co-Implication in Dual Heyting Algebra with Applications. Preprints 2016, 2016080027. https://doi.org/10.20944/preprints201608.0027.v1 Jebril, I.H. (T,N) and Residual Fuzzy Co-Implication in Dual Heyting Algebra with Applications. Preprints 2016, 2016080027. https://doi.org/10.20944/preprints201608.0027.v1

Abstract

Recently, many authors have been interested to introduce fuzzy implications over t-norms and t-conorms. In this paper, we introduce (S,N) and residuum fuzzy implication for Dubois t-norm and Hamacher's t-norm. Also, new concepts so-called (T,N) and residual fuzzy co-implication in dual Heyting Algebra are investigated. Some examples as well as application are discussed as well.

Keywords

Fuzzy implications; (S,N) implication; residuum t-norm; (T,N) co-implication; residual co-implication

Subject

Computer Science and Mathematics, Analysis

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