English

($S$,$N$,$T$)-Implications

Logic in Computer Science 2021-07-01 v1 Logic

Abstract

In this paper we introduce a new class of fuzzy implications called (SS,NN,TT)-implications inspired in the logical equivalence pq¬(p¬q)¬pp\rightarrow q \equiv \neg(p\wedge\neg q)\vee\neg p and present a brief study of some of the main properties that characterize this class. We present methods of obtaining tt-norms and tt-conorms from an (SS,NN,TT)-implication and a fuzzy negation.

Cite

@article{arxiv.2106.15746,
  title  = {($S$,$N$,$T$)-Implications},
  author = {Fernando Neres and Benjamín Bedregal and Regivan H. N. Santiago},
  journal= {arXiv preprint arXiv:2106.15746},
  year   = {2021}
}
R2 v1 2026-06-24T03:44:34.876Z