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Topology of cubic bipolar structures and its application on Q-algebra
허걸,S. M. Mostafa,이정곤,Fatema. F. Kareem 원광대학교 기초자연과학연구소 2021 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.21 No.1
In this paper, we define a cubic bipolar subalgebra, $BCK$-ideal and $Q$-ideal of a $Q$-algebra, and obtain some of their properties and give some examples. Also we define a cubic bipolar fuzzy point, cubic bipolar fuzzy topology, cubic bipolar fuzzy base and for each concept obtained some of its properties.
J. I. Baek,Samy M. Mostafa,S. H. Han,Fatema. F. Kareem,K.Hur 원광대학교 기초자연과학연구소 2024 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.27 No.1
In this paper, we introduce the concepts of positive implicative [resp. implicative and commutative] $\Gamma$-$KU$-algebras, and obtain their some properties (including characterizations) respectively and some relationships among them. Next, we propose the notions of positive implicative [resp. implicative and commutative] $\Gamma$-ideals of a $\Gamma$-$KU$-algebra, and deal with their some properties (including characterizations) respectively and some relationships among them. Finally, we define a topological $\Gamma$-$KU$-algebra and discuss its various topological structures.