Hesitant Fuzzy Soft Subalgebras and Ideals in BCK/BCI-Algebras

As a link between classical soft sets and hesitant fuzzy sets, the notion of hesitant fuzzy soft sets is introduced and applied to a decision making problem in the papers by Babitha and John (2013) and Wang et al. (2014). The aim of this paper is to apply hesitant fuzzy soft set for dealing with sev...

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Detalles Bibliográficos
Autores principales: Jun, Young Bae, Ahn, Sun Shin, Muhiuddin, G.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4212623/
https://www.ncbi.nlm.nih.gov/pubmed/25405234
http://dx.doi.org/10.1155/2014/763929
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author Jun, Young Bae
Ahn, Sun Shin
Muhiuddin, G.
author_facet Jun, Young Bae
Ahn, Sun Shin
Muhiuddin, G.
author_sort Jun, Young Bae
collection PubMed
description As a link between classical soft sets and hesitant fuzzy sets, the notion of hesitant fuzzy soft sets is introduced and applied to a decision making problem in the papers by Babitha and John (2013) and Wang et al. (2014). The aim of this paper is to apply hesitant fuzzy soft set for dealing with several kinds of theories in BCK/BCI-algebras. The notions of hesitant fuzzy soft subalgebras and (closed) hesitant fuzzy soft ideals are introduced, and related properties are investigated. Relations between a hesitant fuzzy soft subalgebra and a (closed) hesitant fuzzy soft ideal are discussed. Conditions for a hesitant fuzzy soft set to be a hesitant fuzzy soft subalgebra are given, and conditions for a hesitant fuzzy soft subalgebra to be a hesitant fuzzy soft ideal are provided. Characterizations of a (closed) hesitant fuzzy soft ideal are considered.
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spelling pubmed-42126232014-11-17 Hesitant Fuzzy Soft Subalgebras and Ideals in BCK/BCI-Algebras Jun, Young Bae Ahn, Sun Shin Muhiuddin, G. ScientificWorldJournal Research Article As a link between classical soft sets and hesitant fuzzy sets, the notion of hesitant fuzzy soft sets is introduced and applied to a decision making problem in the papers by Babitha and John (2013) and Wang et al. (2014). The aim of this paper is to apply hesitant fuzzy soft set for dealing with several kinds of theories in BCK/BCI-algebras. The notions of hesitant fuzzy soft subalgebras and (closed) hesitant fuzzy soft ideals are introduced, and related properties are investigated. Relations between a hesitant fuzzy soft subalgebra and a (closed) hesitant fuzzy soft ideal are discussed. Conditions for a hesitant fuzzy soft set to be a hesitant fuzzy soft subalgebra are given, and conditions for a hesitant fuzzy soft subalgebra to be a hesitant fuzzy soft ideal are provided. Characterizations of a (closed) hesitant fuzzy soft ideal are considered. Hindawi Publishing Corporation 2014 2014-10-14 /pmc/articles/PMC4212623/ /pubmed/25405234 http://dx.doi.org/10.1155/2014/763929 Text en Copyright © 2014 Young Bae Jun et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Jun, Young Bae
Ahn, Sun Shin
Muhiuddin, G.
Hesitant Fuzzy Soft Subalgebras and Ideals in BCK/BCI-Algebras
title Hesitant Fuzzy Soft Subalgebras and Ideals in BCK/BCI-Algebras
title_full Hesitant Fuzzy Soft Subalgebras and Ideals in BCK/BCI-Algebras
title_fullStr Hesitant Fuzzy Soft Subalgebras and Ideals in BCK/BCI-Algebras
title_full_unstemmed Hesitant Fuzzy Soft Subalgebras and Ideals in BCK/BCI-Algebras
title_short Hesitant Fuzzy Soft Subalgebras and Ideals in BCK/BCI-Algebras
title_sort hesitant fuzzy soft subalgebras and ideals in bck/bci-algebras
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4212623/
https://www.ncbi.nlm.nih.gov/pubmed/25405234
http://dx.doi.org/10.1155/2014/763929
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AT ahnsunshin hesitantfuzzysoftsubalgebrasandidealsinbckbcialgebras
AT muhiudding hesitantfuzzysoftsubalgebrasandidealsinbckbcialgebras

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