An algorithm for generating permutation algebras using soft spaces. Issue 3 (4th May 2018)

• Record Type: Journal Article
• Authors: Khalil, Shuker Mahmood; Khadhaer, Fatima Hameed
• Is Part Of: Journal of Taibah University for science. Volume 12:Issue 3(2018)
• Page Start: 299
• Page End: 308
• Publication Date: 2018-05-04
• Subjects: Soft set theory -- symmetric groups -- splitting -- ambivalent -- permutation topological spaces; Science -- Periodicals; Science; Periodicals; 505
• DOI: 10.1080/16583655.2018.1468671
• Languages: English
• ISSNs: 1658-3655

Abstract

ABSTRACT: Soft set theory has recently gained significance for finding rational and logical solutions to various real-life problems, which involve uncertainty, impreciseness and vagueness. In this paper, we introduced an algorithm to find permutation algebras using soft topological space. Moreover, this class of permutation algebras is called even (odd) permutation algebras if its permutation is even (odd). Furthermore, new concepts in permutation algebras are investigated such as splittable permutation algebra and ambivalent permutation algebra. Furthermore, several examples are given to illustrate the concepts introduced in this paper.