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Bipolar Fuzzy UP-Algebras

Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand
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Math. Comput. Appl. 2018, 23(4), 69; https://doi.org/10.3390/mca23040069
Received: 16 October 2018 / Revised: 26 October 2018 / Accepted: 1 November 2018 / Published: 3 November 2018
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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 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. View Full-Text
Keywords: UP-algebra; bipolar fuzzy UP-subalgebra; bipolar fuzzy UP-filter; bipolar fuzzy UP-ideal; bipolar fuzzy strongly UP-ideal UP-algebra; bipolar fuzzy UP-subalgebra; bipolar fuzzy UP-filter; bipolar fuzzy UP-ideal; bipolar fuzzy strongly UP-ideal
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Kawila, K.; Udomsetchai, C.; Iampan, A. Bipolar Fuzzy UP-Algebras. Math. Comput. Appl. 2018, 23, 69.

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