Work

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

Year: 2021

Type: preprint

Abstract: In this paper we introduce a new class of fuzzy implications called ($S$,$N$,$T$)-implications inspired in the logical equivalence $p\rightarrow q \equiv \neg(p\wedge\neg q)\vee\neg p$ and present a brief study of some of the main properties that characterize this class. We present methods of obtaining $t$-norms and $t$-conorms from an ($S$,$N$,$T$)-implication and a fuzzy negation.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2106.15746

Authors: Neres, Fernando, Bedregal, Benjamín, Santiago, Regivan H. N.

Institutions: Universidade Federal Rural do Semi-Árido, Universidade Federal do Rio Grande do Norte

Language: English

Topic: Advanced Algebra and Logic

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W3177232255

Cites: 15

Cited by: 1

Related to: 17