The Characterization of Fuzzy and Anti Fuzzy Ideals in AG-groupoid

Nasreen Kausar; Muhammad Munir; Praveen Agarwal; Kalaichelvan Kalaiarasi

The Characterization of Fuzzy and Anti Fuzzy Ideals in AG-groupoid

Nasreen Kausar
, Muhammad Munir
, Praveen Agarwal
, Kalaichelvan Kalaiarasi

Nonlinear Dynamic Research Centre (NDRC)

Yildiz Technical University
Government Postgraduate College
International College of Engineering
Bharathidasan University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Fuzzy and anti fuzzy ideals in ordered AG-groupoid are the modern tool for handling uncertainty in many decisions making problems. The purpose of this paper is to investigate, the characterizations of different classes of non-associative ordered semigroups by using anti fuzzy left (resp. right) interior, weakly regular, (2, 2)-regular ideals. The algebraic properties of ideals in AG-groupoid are examined for the newly introduced fuzzy algebra. The results presented are justified by providing examples of well-defined and well-established AG-groupoid.

Original language	English
Pages (from-to)	653-667
Number of pages	15
Journal	Thai Journal of Mathematics
Volume	20
Issue number	2
State	Published - Jun 2022

Keywords

Fuzzy sets
anti fuzzy AG-subgroupoids
anti fuzzy left (resp. right) interior ideals
intra-(2; 2) regular ordered AG-groupoids
left (resp. right) weakly

Cite this

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title = "The Characterization of Fuzzy and Anti Fuzzy Ideals in AG-groupoid",

abstract = "Fuzzy and anti fuzzy ideals in ordered AG-groupoid are the modern tool for handling uncertainty in many decisions making problems. The purpose of this paper is to investigate, the characterizations of different classes of non-associative ordered semigroups by using anti fuzzy left (resp. right) interior, weakly regular, (2, 2)-regular ideals. The algebraic properties of ideals in AG-groupoid are examined for the newly introduced fuzzy algebra. The results presented are justified by providing examples of well-defined and well-established AG-groupoid.",

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AU - Kausar, Nasreen

AU - Munir, Muhammad

AU - Agarwal, Praveen

AU - Kalaiarasi, Kalaichelvan

PY - 2022/6

Y1 - 2022/6

N2 - Fuzzy and anti fuzzy ideals in ordered AG-groupoid are the modern tool for handling uncertainty in many decisions making problems. The purpose of this paper is to investigate, the characterizations of different classes of non-associative ordered semigroups by using anti fuzzy left (resp. right) interior, weakly regular, (2, 2)-regular ideals. The algebraic properties of ideals in AG-groupoid are examined for the newly introduced fuzzy algebra. The results presented are justified by providing examples of well-defined and well-established AG-groupoid.

AB - Fuzzy and anti fuzzy ideals in ordered AG-groupoid are the modern tool for handling uncertainty in many decisions making problems. The purpose of this paper is to investigate, the characterizations of different classes of non-associative ordered semigroups by using anti fuzzy left (resp. right) interior, weakly regular, (2, 2)-regular ideals. The algebraic properties of ideals in AG-groupoid are examined for the newly introduced fuzzy algebra. The results presented are justified by providing examples of well-defined and well-established AG-groupoid.

KW - Fuzzy sets

KW - anti fuzzy AG-subgroupoids

KW - anti fuzzy left (resp. right) interior ideals

KW - intra-(2; 2) regular ordered AG-groupoids

KW - left (resp. right) weakly

UR - https://www.scopus.com/pages/publications/85133705257

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EP - 667

JO - Thai Journal of Mathematics

JF - Thai Journal of Mathematics

IS - 2

ER -

The Characterization of Fuzzy and Anti Fuzzy Ideals in AG-groupoid

Abstract

Keywords

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