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Soft Set Theory

Semantic Scholar
3 Citations•2003•
R., R. A.
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The authors define equality of two soft sets, subset and super set of a soft set, complement of a Soft complement function, NOT set, null soft set and absolute soft set with examples.

Abstract

In this paper, the authors study the theory of soft sets mitiated by Molodtsov. The authors define equality of two soft sets, subset and super set of a soft set, complement of a soft set, null soft set, and absolute soft set with examples. Soft binary operations like AND, OR and also the operations of union, intersection are defined. DeMorgan’s laws and a number of results are verified in soft set theory. @ 2003 Elsevier Science Ltd. All rights reserved. Keywords-soft set, Predicate of a soft set, Approximation, Approximate value set, Soft complement function, NOT set, Null soft set, Absolute soft set, Soft subset. Soft super set.