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Soft set relations and functions

✍ Scribed by K.V. Babitha; J.J. Sunil

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
309 KB
Volume
60
Category
Article
ISSN
0898-1221

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✦ Synopsis

The traditional soft set is a mapping from a parameter to the crisp subset of universe. Molodtsov introduced the theory of soft sets as a generalized tool for modeling complex systems involving uncertain or not clearly defined objects. In this paper the concepts of soft set relations are introduced as a sub soft set of the Cartesian product of the soft sets and many related concepts such as equivalent soft set relation, partition, composition, function etc. are discussed.

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The soft set theory, proposed by Molodtsov, can be used as a general mathematical tool for dealing with uncertainty. By combining the interval-valued fuzzy set and soft set models, the purpose of this paper is to introduce the concept of the interval-valued fuzzy soft set. The complement, ''AND'' an