Relations and Functions on Union-Soft Sets

Sai Sundara Krishnan Gangadharan and Pachaiyappan Muthukumar
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Sai Sundara Krishnan Gangadharan: PSG College of Technology, Coimbatore, India
Pachaiyappan Muthukumar: PSG College of Technology, Coimbatore, India

International Journal of Fuzzy System Applications (IJFSA), 2018, vol. 7, issue 3, 17-31

Abstract: In this article, the theoretical aspects of union-soft sets by extending the notions of equivalence relations, partition, composition of relations, and function to the framework of union-soft sets are introduced. Further the Cartesian product, the relation between union-soft sets, induced relations from the universal set and the attribute set with examples are discussed. Moreover, the composition of union-soft set relationships with examples and some related theorems are demonstrated. Finally, the concepts of a union-soft set function and their respective composition function are examined.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:igg:jfsa00:v:7:y:2018:i:3:p:17-31

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