Soft translations and soft extensions of BCI/BCK-algebras

Nazra Sultana; Nazia Rani; Muhammad Irfan Ali; Azhar Hussain

doi:10.1155/2014/536709

Soft translations and soft extensions of BCI/BCK-algebras

ScientificWorldJournal. 2014:2014:536709. doi: 10.1155/2014/536709. Epub 2014 Sep 14.

Authors

Nazra Sultana¹, Nazia Rani², Muhammad Irfan Ali³, Azhar Hussain¹

Affiliations

¹ Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan.
² Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan ; Department of Mathematics, University of Sargodha, Women Campus, Faisalabad, Pakistan.
³ Islamabad Model College for Girls F-6/2, Islamabad 44000, Pakistan.

Abstract

The concept of soft translations of soft subalgebras and soft ideals over BCI/BCK-algebras is introduced and some related properties are studied. Notions of Soft extensions of soft subalgebras and soft ideals over BCI/BCK-algebras are also initiated. Relationships between soft translations and soft extensions are explored.

MeSH terms

Algorithms*
Fuzzy Logic
Mathematical Computing*
Mathematics / methods*
Models, Theoretical*