An Approach to Fuzzy Sheffer Stroke Nelson Algebras

Abstract

The aim of this paper is to introduce (hesitant) fuzzy structures on Sheffer stroke Nelson algebras (in short, s-Nelson algebras). Since (inf-)hesitant fuzzy ideals on Sheffer stroke Nelson algebras constitute a significant area of research at the intersection of algebraic structures and fuzzy set theory, the concept of hesitant fuzzy sets, which encompasses ambiguity and hesitation in decision-making, is extended to hesitant fuzzy ideals on these algebraic structures. This extension allows for a flexible and nuanced approach to defining fuzzy ideals on these algebras. This work explores the foundational aspects, properties, and potential applications of inf-hesitant fuzzy ideals within the context of Sheffer stroke Nelson algebras, highlighting their relevance and importance in contemporary research and application domains.