Bulletin of Pure and Applied Sciences
  • Year: 2019
  • Volume: 38E
  • Issue: 1

Translations and Multilications of Jun’s Cubic Sets in Cubic Subalgebras and Cubic Filters of CI-Algebras

1Department of Mathematics, Srikishan Sarda College, Hailakandi, Assam788151, India

2Department of Mathematics, D.H.S.K. College, Dibrugarh, Assam786001, India

*S.R. Barbhuiya, Associate Professor and Head, Department of Mathematics, Srikishan Sarda College, Hailakandi, Assam 788151, India. E-mail: saidurbarbhuiya@gmail.com

**E-mail: akdutta28@gmail.com

Abstract

In this paper, we introduce the concept of translation and multiplication of cubic subalgebras and cubic filters of CI-algebras and investigate some of their basic properties. The notion of cubic extensions of cubic subalgebras and cubic filters is also introduced and several related properties are investigated.

Keywords

CI-algebra, Interval-valued fuzzy set, Cubic set, Cubic subalgebra, Cubic filters, Translation, Multiplication, Extension, 06F35, 03E72, 03G25, 08A72