Preprint Article Version 1 NOT YET PEER-REVIEWED

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

  1. Department of Mathematics, Science Faculty, Taibah University, Medina, Saudi Arabia
Version 1 : Received: 2 August 2016 / Approved: 3 August 2016 / Online: 3 August 2016 (08:29:47 CEST)

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

Subject Areas

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

Readers' Comments and Ratings (0)

Discuss and rate this article
Views 130
Downloads 116
Comments 0
Metrics 0
Discuss and rate this article

×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.