Representation of Soft Subsets by Products


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Authors

  • Nistala V.E.S. Murthy Department of Mathematics, J.V.D.College of Science & Technology, Andhra University, Visakhapatnam, Andhra Pradesh, India
  • Chundru Maheswari Department of Mathematics, J.V.D.College of Science & Technology, Andhra University, Visakhapatnam, Andhra Pradesh, India

Keywords:

Factorizable subset, (Extended) Soft (sub) set, Associated product set for a soft set

Abstract

In this paper, we show that for any soft set over a universal set, 1. there is a crisp set such that the complete lattice of all soft subsets of the given soft set is complete epimorphic to a complete lattice of certain subsets of the crisp set, where the join in the later complete lattice is the meet induced join and 2. there is a crisp set such that the complete lattice of all regular soft subsets of the given soft set is complete isomorphic to a complete lattice of certain subsets of the crisp set, where the meet in the former complete lattice is the join induced meet and the join in the later complete lattice is the meet induced join.

 

 

Author Biographies

Nistala V.E.S. Murthy, Department of Mathematics, J.V.D.College of Science & Technology, Andhra University, Visakhapatnam, Andhra Pradesh, India

 

 

 

Chundru Maheswari, Department of Mathematics, J.V.D.College of Science & Technology, Andhra University, Visakhapatnam, Andhra Pradesh, India

 

 

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Published

15-05-2018

How to Cite

Nistala V.E.S. Murthy, & Chundru Maheswari. (2018). Representation of Soft Subsets by Products. International Journal of Mathematics And Its Applications, 6(2 - A), 227–241. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/667

Issue

Vol. 6 No. 2 - A (2018)

Section

Research Article

License

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.