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Relations and Functions on Union-Soft Sets

Author

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  • Sai Sundara Krishnan Gangadharan

    (PSG College of Technology, Coimbatore, India)

  • Pachaiyappan Muthukumar

    (PSG College of Technology, Coimbatore, India)

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.

Suggested Citation

  • Sai Sundara Krishnan Gangadharan & Pachaiyappan Muthukumar, 2018. "Relations and Functions on Union-Soft Sets," International Journal of Fuzzy System Applications (IJFSA), IGI Global, vol. 7(3), pages 17-31, July.
    • Handle: RePEc:igg:jfsa00:v:7:y:2018:i:3:p:17-31
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