Relations and Functions on Union-Soft Sets

Relations and Functions on Union-Soft Sets

Sai Sundara Krishnan Gangadharan, Pachaiyappan Muthukumar
Copyright: © 2018 |Volume: 7 |Issue: 3 |Pages: 15
ISSN: 2156-177X|EISSN: 2156-1761|EISBN13: 9781522546276|DOI: 10.4018/IJFSA.2018070102
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MLA

Gangadharan, Sai Sundara Krishnan, and Pachaiyappan Muthukumar. "Relations and Functions on Union-Soft Sets." IJFSA vol.7, no.3 2018: pp.17-31. http://doi.org/10.4018/IJFSA.2018070102

APA

Gangadharan, S. S. & Muthukumar, P. (2018). Relations and Functions on Union-Soft Sets. International Journal of Fuzzy System Applications (IJFSA), 7(3), 17-31. http://doi.org/10.4018/IJFSA.2018070102

Chicago

Gangadharan, Sai Sundara Krishnan, and Pachaiyappan Muthukumar. "Relations and Functions on Union-Soft Sets," International Journal of Fuzzy System Applications (IJFSA) 7, no.3: 17-31. http://doi.org/10.4018/IJFSA.2018070102

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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.

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