<abstract xmlns="http://www.w3.org/1999/xhtml"> 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.</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.

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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{"article-title":"Fuzzy soft set approach to ideal theory of regular AG-groupoids"}

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...

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

Pubblicato online: 21 set 2017

Pagine: 263 - 288

Ricevuto: 20 dic 2014

Accettato: 07 gen 2015

DOI: https://doi.org/10.1515/auom-2016-0015

Parole chiave
Groupoid, AG-groupoid, Soft set, Fuzzy set, Idea

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Pubblicato online: 21 set 2017

Pagine: 263 - 288

Ricevuto: 20 dic 2014

Accettato: 07 gen 2015

DOI: https://doi.org/10.1515/auom-2016-0015

Parole chiaveGroupoid, AG-groupoid, Soft set, Fuzzy set, Idea

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Parole chiave
Groupoid, AG-groupoid, Soft set, Fuzzy set, Idea