Ordered Semigroups Based on ∈,∈∨qkδ-Fuzzy Ideals

Autor: Faiz Muhammad Khan, Nie Yufeng, Hidayat Ullah Khan, Bakht Muhammad Khan
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Advances in Fuzzy Systems, Vol 2018 (2018)
Druh dokumentu: article
ISSN: 1687-7101
1687-711X
DOI: 10.1155/2018/5304514
Popis: A new trend of using fuzzy algebraic structures in various applied sciences is becoming a central focus due to the accuracy and nondecoding nature. The aim of the present paper is to develop a new type of fuzzy subsystem of an ordered semigroup S. This new type of fuzzy subsystem will overcome the difficulties faced in fuzzy ideal theory of an ordered semigroup up to some extent. More precisely, we introduce ∈,∈∨qkδ-fuzzy left (resp., right, quasi-) ideals of S. These concepts are elaborated through appropriate examples. Further, we are bridging ordinary ideals and ∈,∈∨qkδ-fuzzy ideals of an ordered semigroup S through level subset and characteristic function. Finally, we characterize regular ordered semigroups in terms of ∈,∈∨qkδ-fuzzy left (resp., right, quasi-) ideals.
Databáze: Directory of Open Access Journals
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