Soft Group Based on Soft Element

Authors

  • Jayanta Ghosh
  • Dhananjoy Mandal
  • T. K. Samanta

Keywords:

Soft set, soft element, soft groupoid, soft group.

Abstract

Using the notion of soft element [13], in this paper, we define a binary operation on the set of all nonempty soft elements of a given soft set to introduce soft groupoid. Then we give the definition of soft group based on soft elements and establish necessary and sufficient conditions for a soft set to be a soft group. Also we compare some properties like commutative property, cyclic property of soft group with those of given parameter set and initial universe set.

Key words and phrases. Soft set, soft element, soft groupoid, soft group.

2010 Mathematics Subject Classification. 97E60, 20N02, 06D72

Downloads

Published

2025-05-18

How to Cite

Jayanta Ghosh, Dhananjoy Mandal, & T. K. Samanta. (2025). Soft Group Based on Soft Element. Jordan Journal of Mathematics and Statistics, 9(2), 141–159. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/1040

Issue

Vol. 9 No. 2 (2016)

Section

Articles