Tolerance Soft Set Relation on a Soft Set and its Matrix Applications

Article type: Research Article

Authors: Polat, Nazan Çakmak^* | Yaylalı, Gözde | Tanay, Bekir

Affiliations: Department of Mathematics, Muğla Sıtkı Koçman University, Muğla, Turkey. ncakmak@mu.edu.tr, gozdeyaylali@mu.edu.tr, btanay@mu.edu.tr

Correspondence: [*] Address for correspondence: Department of Mathematics Muğla Sıtkı Koçman University Muğla, Turkey.

Abstract: In this paper the tolerance soft set relation on a soft set is defined and some examples are given with their matrix representations. Also, pre-class and tolerance class concepts for a given tolerance soft set relation are introduced and some examples related to these definitions are illustrated. Some theoretical results are proved such as every pre-class contained by a tolerance class and intersection of two pre-classes is a pre-class as well. Moreover, a method to find out the tolerance classes and pre-classes by using matrix representation of a tolerance soft set relation is explained with examples.

Keywords: Soft set, Soft set relation, Tolerance soft set relation, Matrix representation

DOI: 10.3233/FI-2017-1514

Journal: Fundamenta Informaticae, vol. 152, no. 2, pp. 107-122, 2017