Soft Set and Soft Group from Classical View Point

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Authors

  • S. Ray
     Department of Mathematics, Visva-Bharati University, Santiniketan - 731235, West Bengal ,IN
  • S. Goldar
     Department of Mathematics, Visva-Bharati University, Santiniketan - 731235, West Bengal ,IN

DOI:

https://doi.org/10.18311/jims/2017/6123

Keywords:

Soft Element, Soft Group, Soft Homomorphism, Soft Quotient Group

Abstract

It is shown that a soft set can be represented as a crisp set of soft elements and a soft group as a ordinary group of soft elements. From this view point it is immediate that soft group share the properties of ordinary group. Also using soft elements the definitions of soft co-sets, soft homomorphism and cyclic soft groups are presented and their properties are studied.

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Published

2017-07-01

How to Cite

Ray, S., & Goldar, S. (2017). Soft Set and Soft Group from Classical View Point. The Journal of the Indian Mathematical Society, 84(3-4), 273–286. https://doi.org/10.18311/jims/2017/6123

Issue

Volume 84, Issue 3-4, July-December 2017

Section

Articles

License

Copyright (c) 2017 S. Ray, S. Goldar

Creative Commons License

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

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Europe PMC
Received 2016-06-10
Accepted 2017-02-15
Published 2017-07-01

 

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