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 |
| Published: |
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 |
| Summary: | 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. |
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| ISSN: | 0125-3395 |