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

Polat N. Ç, Yaylalı G., Tanay B.

Fundamenta Informaticae

2017

Vol. 152, nr 2

107--122

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.