1. Transitive closures and orderings on soft sets
- Author
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Babitha, K.V. and Sunil, Jacob John
- Subjects
- *
SET theory , *ALGORITHMS , *MATHEMATICAL proofs , *MATHEMATICAL analysis , *NUMERICAL analysis , *MATHEMATICS - Abstract
Abstract: In this paper an attempt is made to extend some standard results in set theory on the basis of soft set relations. Antisymmetric relation and transitive closure of a soft set relation are introduced and an analogue of Warshall’s algorithm is proposed for calculating the transitive closure of a soft set relation. Ordering on a soft set is defined and some set theoretical results based on this are proved. [Copyright &y& Elsevier]
- Published
- 2011
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