Soft Vectorial MV–Algebras

A  Erami sup    and A  Hasankhani sup

doi:10.17485/ijst/2014/v7i9.21

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2014/v7i9.21

Year: 2014, Volume: 7, Issue: 9, Pages: 1428–1436

Original Article

Soft Vectorial MV–Algebras

A. Erami¹* and A. Hasankhani²

¹Department of Mathematics, Science and Research Branch, Islamic Azad University, Kerman, Iran; eramiafshin@yahoo.com
²Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran; abhasan@mail.uk.ac.ir

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

In this paper the soft vectorial MV-algebra has been studied. In first, we defined the concept of soft vectorial MV-algebra and give some examples. Then we establish some basic properties and investigate the effect of the extended intersection, restricted intersection, ∧-intersection, extended union, restricted union, ∨-union and soft function on them.

Keywords: Soft Set, Soft Vectorial MV-Algebra, Vectorial MV-Algebra