Fuzzy Γ-Hyperideals in Γ-Hypersemirings by Using Triangular Norms

The concept of Γ-semihyperrings was introduced by Dehkordi and Davvaz as a generalization of semirings, semihyperrings, and Γ-semiring. In this paper, by using the notion of triangular norms, we define the concept of triangular fuzzy sub-Γ-semihyperrings as well as triangular fuzzy Γ-hyperideals of...

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Detalles Bibliográficos
Autores principales: Ersoy, B. A., Davvaz, B., Onar, S., Leoreanu-Fotea, V.
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/PMC4055395/
https://www.ncbi.nlm.nih.gov/pubmed/24967434
http://dx.doi.org/10.1155/2014/428635
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author Ersoy, B. A.
Davvaz, B.
Onar, S.
Leoreanu-Fotea, V.
author_facet Ersoy, B. A.
Davvaz, B.
Onar, S.
Leoreanu-Fotea, V.
author_sort Ersoy, B. A.
collection PubMed
description The concept of Γ-semihyperrings was introduced by Dehkordi and Davvaz as a generalization of semirings, semihyperrings, and Γ-semiring. In this paper, by using the notion of triangular norms, we define the concept of triangular fuzzy sub-Γ-semihyperrings as well as triangular fuzzy Γ-hyperideals of a Γ-semihyperring, and we study a few results in this respect.
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spelling pubmed-40553952014-06-25 Fuzzy Γ-Hyperideals in Γ-Hypersemirings by Using Triangular Norms Ersoy, B. A. Davvaz, B. Onar, S. Leoreanu-Fotea, V. ScientificWorldJournal Research Article The concept of Γ-semihyperrings was introduced by Dehkordi and Davvaz as a generalization of semirings, semihyperrings, and Γ-semiring. In this paper, by using the notion of triangular norms, we define the concept of triangular fuzzy sub-Γ-semihyperrings as well as triangular fuzzy Γ-hyperideals of a Γ-semihyperring, and we study a few results in this respect. Hindawi Publishing Corporation 2014 2014-05-20 /pmc/articles/PMC4055395/ /pubmed/24967434 http://dx.doi.org/10.1155/2014/428635 Text en Copyright © 2014 B. A. Ersoy 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
Ersoy, B. A.
Davvaz, B.
Onar, S.
Leoreanu-Fotea, V.
Fuzzy Γ-Hyperideals in Γ-Hypersemirings by Using Triangular Norms
title Fuzzy Γ-Hyperideals in Γ-Hypersemirings by Using Triangular Norms
title_full Fuzzy Γ-Hyperideals in Γ-Hypersemirings by Using Triangular Norms
title_fullStr Fuzzy Γ-Hyperideals in Γ-Hypersemirings by Using Triangular Norms
title_full_unstemmed Fuzzy Γ-Hyperideals in Γ-Hypersemirings by Using Triangular Norms
title_short Fuzzy Γ-Hyperideals in Γ-Hypersemirings by Using Triangular Norms
title_sort fuzzy γ-hyperideals in γ-hypersemirings by using triangular norms
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4055395/
https://www.ncbi.nlm.nih.gov/pubmed/24967434
http://dx.doi.org/10.1155/2014/428635
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AT leoreanufoteav fuzzyghyperidealsinghypersemiringsbyusingtriangularnorms

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