Q-fuzzy sets in UP-algebras
In this paper, we introduce the notions of Q-fuzzy UP-ideals and Q-fuzzy UP-subalgebras of UP-algebras, and their properties are investigated. Relations between a Q-fuzzy UP-ideal (resp. Q-fuzzy UP-subalgebra) and a level subsets of a Qfuzzy set are investigated, and conditions for a Q-fuzzy set t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Prince of Songkla University
2018-02-01
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| Series: | Songklanakarin Journal of Science and Technology (SJST) |
| Subjects: | |
| Online Access: | http://rdo.psu.ac.th/sjstweb/journal/40-1/40-1-2.pdf |
| _version_ | 1818208472914722816 |
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| author | Kanlaya Tanamoon Sarinya Sripaeng Aiyared Iampan |
| author_facet | Kanlaya Tanamoon Sarinya Sripaeng Aiyared Iampan |
| author_sort | Kanlaya Tanamoon |
| collection | DOAJ |
| description | In this paper, we introduce the notions of Q-fuzzy UP-ideals and Q-fuzzy UP-subalgebras of UP-algebras, and their
properties are investigated. Relations between a Q-fuzzy UP-ideal (resp. Q-fuzzy UP-subalgebra) and a level subsets of a Qfuzzy
set are investigated, and conditions for a Q-fuzzy set to be a Q-fuzzy UP-ideal (resp. Q-fuzzy UP-subalgebra) are provided.
Finally, prove that it is not true that if µ·δ is a Q-fuzzy UP-ideal (resp. Q-fuzzy UP-subalgebra) of A×B, then either µ is a Qfuzzy
UP-ideal (resp. Q-fuzzy UP-subalgebra) of A or δ is a Q-fuzzy UP-ideal (resp. Q-fuzzy UP-subalgebra) of B. |
| first_indexed | 2024-12-12T04:45:22Z |
| format | Article |
| id | doaj.art-0a39c9100cc7414da362d595779e0adf |
| institution | Directory Open Access Journal |
| issn | 0125-3395 |
| language | English |
| last_indexed | 2024-12-12T04:45:22Z |
| publishDate | 2018-02-01 |
| publisher | Prince of Songkla University |
| record_format | Article |
| series | Songklanakarin Journal of Science and Technology (SJST) |
| spelling | doaj.art-0a39c9100cc7414da362d595779e0adf2022-12-22T00:37:38ZengPrince of Songkla UniversitySongklanakarin Journal of Science and Technology (SJST)0125-33952018-02-0140192910.14456/sjst-psu.2018.24Q-fuzzy sets in UP-algebrasKanlaya Tanamoon0Sarinya Sripaeng1Aiyared Iampan2Department of Mathematics, School of Science, University of Phayao, Mueang, Phayao, 56000 ThailandDepartment of Mathematics, School of Science, University of Phayao, Mueang, Phayao, 56000 ThailandDepartment of Mathematics, School of Science, University of Phayao, Mueang, Phayao, 56000 ThailandIn this paper, we introduce the notions of Q-fuzzy UP-ideals and Q-fuzzy UP-subalgebras of UP-algebras, and their properties are investigated. Relations between a Q-fuzzy UP-ideal (resp. Q-fuzzy UP-subalgebra) and a level subsets of a Qfuzzy set are investigated, and conditions for a Q-fuzzy set to be a Q-fuzzy UP-ideal (resp. Q-fuzzy UP-subalgebra) are provided. Finally, prove that it is not true that if µ·δ is a Q-fuzzy UP-ideal (resp. Q-fuzzy UP-subalgebra) of A×B, then either µ is a Qfuzzy UP-ideal (resp. Q-fuzzy UP-subalgebra) of A or δ is a Q-fuzzy UP-ideal (resp. Q-fuzzy UP-subalgebra) of B.http://rdo.psu.ac.th/sjstweb/journal/40-1/40-1-2.pdfUP-algebraQ-fuzzy UP-idealQ-fuzzy UP-subalgebra |
| spellingShingle | Kanlaya Tanamoon Sarinya Sripaeng Aiyared Iampan Q-fuzzy sets in UP-algebras Songklanakarin Journal of Science and Technology (SJST) UP-algebra Q-fuzzy UP-ideal Q-fuzzy UP-subalgebra |
| title | Q-fuzzy sets in UP-algebras |
| title_full | Q-fuzzy sets in UP-algebras |
| title_fullStr | Q-fuzzy sets in UP-algebras |
| title_full_unstemmed | Q-fuzzy sets in UP-algebras |
| title_short | Q-fuzzy sets in UP-algebras |
| title_sort | q fuzzy sets in up algebras |
| topic | UP-algebra Q-fuzzy UP-ideal Q-fuzzy UP-subalgebra |
| url | http://rdo.psu.ac.th/sjstweb/journal/40-1/40-1-2.pdf |
| work_keys_str_mv | AT kanlayatanamoon qfuzzysetsinupalgebras AT sarinyasripaeng qfuzzysetsinupalgebras AT aiyarediampan qfuzzysetsinupalgebras |