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

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 d...

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Bibliographic Details
Published in:Advances in fuzzy systems 2018-01, Vol.2018 (2018), p.1-10
Main Authors: Khan, Bakht Muhammad, Khan, Hidayat Ullah, Yufeng, Nie, Khan, Faiz Muhammad
Format: Article
Language:English
Subjects:
Algebra
Characteristic functions
Coding theory
Computer science
Fuzzy sets
Information science
Researchers
Set theory
Online Access:Get full text
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Summary: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.
ISSN:1687-7101
1687-711X
DOI:10.1155/2018/5304514