Bipolar Fuzzy UP-Algebras

Korawut Kawila; Chaiphon Udomsetchai; Aiyared Iampan

doi:10.3390/mca23040069

Mathematical and Computational Applications (Nov 2018)

Bipolar Fuzzy UP-Algebras

Korawut Kawila,
Chaiphon Udomsetchai,
Aiyared Iampan

Affiliations

Korawut Kawila: Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand
Chaiphon Udomsetchai: Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand
Aiyared Iampan: Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand

DOI: https://doi.org/10.3390/mca23040069
Journal volume & issue: Vol. 23, no. 4
p. 69

Abstract

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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.

Published in Mathematical and Computational Applications

ISSN: 1300-686X (Print); 2297-8747 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods; Science: Mathematics: Instruments and machines: Electronic computers. Computer science
Website: http://www.mdpi.com/journal/mca

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