Soft set relations and functions

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...

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Bibliographic Details
Published inComputers & mathematics with applications (1987) Vol. 60; no. 7; pp. 1840 - 1849
Main Authors Babitha, K.V., Sunil, J.J.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.10.2010
Subjects
Cartesian
Cartesian products
Complex systems
Composition of soft set relations
Computer simulation
Crisps
Equivalence
Equivalence relations
Mathematical analysis
Mathematical models
Partitions
Soft set functions
Soft set relations
Soft sets
Universe
Soft set relations
Soft set functions
Partitions
Equivalence relations
Cartesian products
Composition of soft set relations
Soft sets
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2010.07.014