Fuzzy soft set approach to ideal theory of regular AG-groupoids-Reference-Cited by-同舟云学术

Fuzzy soft set approach to ideal theory of regular AG-groupoids

Published:2016-01-01 Issue:1 Volume:24 Page:263-288
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Feng Feng¹,Khan Madad²,Leoreanu-Fotea Violeta³,Anis Saima²,Ajaib Nadeem²

Affiliation:

1. Department of Applied Mathematics, School of Science, Xi'an University of Posts and Telecommunications, Xi'an 710121, China

2. Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad 22060, Pakistan

3. Faculty of Mathematics, “Alexandru Ioan Cuza” University, 700506 Iaşi , Romania

Abstract

Abstract This paper aims to apply fuzzy sets and soft sets in combination to investigate algebraic properties of regular AG-groupoids. We initiate (∈γ; ∈γ qδ)-fuzzy soft left ideals (right ideals, bi-ideals and quasi-ideals) over AG-groupoids and explore some related properties. Moreover, we give a number of characterizations for regular AG-groupoids by virtue of various types of fuzzy soft ideals over them.

Publisher

Walter de Gruyter GmbH

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