Title: Application of (α,β)-soft intersectional sets on BCK/BCI-algebras

Authors: Chiranjibe Jana; Madhumangal Pal

Addresses: Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, India ' Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, India

Abstract: In this paper, the notion of (α, β)-soft intersectional set is introduced and explained with some examples. Then, some properties of (α, β)-soft intersectional BCK/BCI-algebras and (α, β)-soft intersectional BCK/BCI-ideals are investigated. Strong (α, β)-soft intersectional BCI-algebra is defined on the basis of BCI-subalgebras. The concept of an (α, β)-intersectional t-support of a soft set is introduced and proposed a condition for an (α, β)-intersectional t-support to be a soft BCK/BCI-subalgebras and soft ideal of a BCK/BCI-algebras. Also, it is shown that the image and inverse image of a BCK/BCI-algebras are also (α, β)-soft intersectional BCK/BCI-algebras. Again, (α, β)-soft intersectional BCK/BCI-ideal is developed on the basis of a homomorphism of BCK/BCI-algebras.

Keywords: BCK/BCI-algebras; soft set; (α; β)-soft intersectional set; (α; β)-soft intersectional BCK/BCI-algebras; (α; β)-intersectional t-support; soft (pre-)image.

DOI: 10.1504/IJISTA.2017.085362

International Journal of Intelligent Systems Technologies and Applications, 2017 Vol.16 No.3, pp.269 - 288

Received: 11 Apr 2016
Accepted: 28 Dec 2016
Published online: 24 Jul 2017 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article