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Keywords = bipolar fuzzy strongly UP-ideal

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16 pages, 321 KiB  
Article
Bipolar Fuzzy UP-Algebras
by Korawut Kawila, Chaiphon Udomsetchai and Aiyared Iampan
Math. Comput. Appl. 2018, 23(4), 69; https://doi.org/10.3390/mca23040069 - 3 Nov 2018
Cited by 17 | Viewed by 3462
Abstract
In this paper, we apply the notion of bipolar-valued fuzzy set to UP-algebras. We introduce the notions of bipolar fuzzy UP-subalgebras (resp., bipolar fuzzy UP-filters, bipolar fuzzy UP-ideals, and bipolar fuzzy strongly UP-ideals) of UP-algebras and prove their generalizations. We provide a condition [...] Read more.
In this paper, we apply the notion of bipolar-valued fuzzy set to UP-algebras. We introduce the notions of bipolar fuzzy UP-subalgebras (resp., bipolar fuzzy UP-filters, bipolar fuzzy UP-ideals, and bipolar fuzzy strongly UP-ideals) of UP-algebras and prove their generalizations. We provide a condition for a bipolar fuzzy UP-filter to be a bipolar fuzzy UP-ideal. Further, we discuss the relation between bipolar fuzzy UP-subalgebras (resp., bipolar fuzzy UP-filters, bipolar fuzzy UP-ideals, and bipolar fuzzy strongly UP-ideals) and their level cuts. Full article
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