Q-fuzzy sets in UP-algebras
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Creator 1. Kanlaya Tanamoon
2. Sarinya Sripaeng
3. Aiyared Iampan
Title Q-fuzzy sets in UP-algebras
Publisher Research and Development Office, Prince of Songkla University
Publication Year 2018
Journal Title Songklanakarin Journal of Science and Technology
Journal Vol. 40
Journal No. 1
Page no. 9
Keyword UP-algebra, Q-fuzzy UP-ideal, Q-fuzzy UP-subalgebra
URL Website http://rdo.psu.ac.th/sjstweb/index.php
ISSN 0125-3395
Abstract In this paper, we introduce the notions of Q-fuzzy UP-ideals and Q-fuzzy UP-subalgebras of UP-algebras, and theirproperties are investigated. Relations between a Q-fuzzy UP-ideal (resp. Q-fuzzy UP-subalgebra) and a level subsets of a Qfuzzyset 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 ??? is a Q-fuzzy UP-ideal (resp. Q-fuzzy UP-subalgebra) of A?B, then either ? is a QfuzzyUP-ideal (resp. Q-fuzzy UP-subalgebra) of A or ? is a Q-fuzzy UP-ideal (resp. Q-fuzzy UP-subalgebra) of B.
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