A Study of Ordered Ag-Groupoids in terms of Semilattices via Smallest (Fuzzy)‎ Ideals

Joint Authors

Amjid, Venus
Yousafzai, Faisal
Hila, Kostaq

Source

Advances in Fuzzy Systems

Issue

Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2018-09-02

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

An ordered AG-groupoid can be referred to as an ordered left almost semigroup, as the main difference between an ordered semigroup and an ordered AG-groupoid is the switching of an associative law.

In this paper, we define the smallest one-sided ideals in an ordered AG-groupoid and use them to characterize a strongly regular class of a unitary ordered AG-groupoid along with its semilattices and fuzzy one-sided ideals.

We also introduce the concept of an ordered AG⁎⁎⁎-groupoid and investigate its structural properties by using the generated ideals and fuzzy one-sided ideals.

These concepts will verify the existing characterizations and will help in achieving more generalized results in future works.

American Psychological Association (APA)

Amjid, Venus& Yousafzai, Faisal& Hila, Kostaq. 2018. A Study of Ordered Ag-Groupoids in terms of Semilattices via Smallest (Fuzzy) Ideals. Advances in Fuzzy Systems،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1117722

Modern Language Association (MLA)

Amjid, Venus…[et al.]. A Study of Ordered Ag-Groupoids in terms of Semilattices via Smallest (Fuzzy) Ideals. Advances in Fuzzy Systems No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1117722

American Medical Association (AMA)

Amjid, Venus& Yousafzai, Faisal& Hila, Kostaq. A Study of Ordered Ag-Groupoids in terms of Semilattices via Smallest (Fuzzy) Ideals. Advances in Fuzzy Systems. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1117722

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1117722