Cubic intuitionistic subalgebras and closed cubic intuitionistic ideals of B-algebras

Article type: Research Article

Authors: Senapati, Tapan^a | Jun, Young Bae^b | Shum, K.P.^{c; *}

Affiliations: [a] Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, West Bengal, India | [b] Department of Mathematics Education, Gyeongsang National University, Jinju, Korea | [c] Institute of Mathematics, Yunnan University, Kunming, People’s Republic of China

Correspondence: [*] Corresponding author. K.P. Shum, Institute of Mathematics, Yunnan University, Kunming 650091, People’s Republic of China. E-mail: [email protected].

Abstract: In this paper, we first introduce the concept of cubic intuitionistic sets in B-algebras. We consider the cubic intuitionistic subalgebras, the cubic intuitionistic ideals and also the cubic intuitionistic closed ideals of a B-algebra. Further properties and relationships of the above algebraic structures are discussed and investigated.

Keywords: B-algebra, cubic intuitionistic subalgebra, cubic intuitionistic ideal, closed cubic intuitionistic ideal

DOI: 10.3233/JIFS-18518

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 2, pp. 1563-1571, 2019