Applications of hesitant fuzzy sets to ternary semigroups

The aim of this paper is to introduce a new concept of hesitant fuzzy bi-ideals and hesitant fuzzy interior ideals on ternary semigroups. We extend the concept of fuzzy bi-ideals and fuzzy interior ideals to the context of hesitant fuzzy bi-ideals and hesitant fuzzy interior ideals, respectively. So...

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Detalles Bibliográficos
Autor principal: Yiarayong, Pairote
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7138909/
https://www.ncbi.nlm.nih.gov/pubmed/32280794
http://dx.doi.org/10.1016/j.heliyon.2020.e03668
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author Yiarayong, Pairote
author_facet Yiarayong, Pairote
author_sort Yiarayong, Pairote
collection PubMed
description The aim of this paper is to introduce a new concept of hesitant fuzzy bi-ideals and hesitant fuzzy interior ideals on ternary semigroups. We extend the concept of fuzzy bi-ideals and fuzzy interior ideals to the context of hesitant fuzzy bi-ideals and hesitant fuzzy interior ideals, respectively. Some characterizations of hesitant fuzzy bi-ideals and hesitant fuzzy interior ideals are obtained. Moreover, we investigate relationships between hesitant fuzzy ideals and hesitant fuzzy interior ideals on ternary semigroups. Finally, we obtain necessary and sufficient conditions of hesitant fuzzy interior ideal in order to be a hesitant fuzzy ideal.
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spelling pubmed-71389092020-04-10 Applications of hesitant fuzzy sets to ternary semigroups Yiarayong, Pairote Heliyon Article The aim of this paper is to introduce a new concept of hesitant fuzzy bi-ideals and hesitant fuzzy interior ideals on ternary semigroups. We extend the concept of fuzzy bi-ideals and fuzzy interior ideals to the context of hesitant fuzzy bi-ideals and hesitant fuzzy interior ideals, respectively. Some characterizations of hesitant fuzzy bi-ideals and hesitant fuzzy interior ideals are obtained. Moreover, we investigate relationships between hesitant fuzzy ideals and hesitant fuzzy interior ideals on ternary semigroups. Finally, we obtain necessary and sufficient conditions of hesitant fuzzy interior ideal in order to be a hesitant fuzzy ideal. Elsevier 2020-04-07 /pmc/articles/PMC7138909/ /pubmed/32280794 http://dx.doi.org/10.1016/j.heliyon.2020.e03668 Text en http://creativecommons.org/licenses/by-nc-nd/4.0/ This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Article
Yiarayong, Pairote
Applications of hesitant fuzzy sets to ternary semigroups
title Applications of hesitant fuzzy sets to ternary semigroups
title_full Applications of hesitant fuzzy sets to ternary semigroups
title_fullStr Applications of hesitant fuzzy sets to ternary semigroups
title_full_unstemmed Applications of hesitant fuzzy sets to ternary semigroups
title_short Applications of hesitant fuzzy sets to ternary semigroups
title_sort applications of hesitant fuzzy sets to ternary semigroups
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7138909/
https://www.ncbi.nlm.nih.gov/pubmed/32280794
http://dx.doi.org/10.1016/j.heliyon.2020.e03668
work_keys_str_mv AT yiarayongpairote applicationsofhesitantfuzzysetstoternarysemigroups

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