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

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.

DOI: https://doi.org/10.1515/auom-2016-0015 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 263 - 288
Submitted on: Dec 20, 2014
Accepted on: Jan 7, 2015
Published on: Sep 21, 2017
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2017 Feng Feng, Madad Khan, Violeta Leoreanu-Fotea, Saima Anis, Nadeem Ajaib, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.