International Journal of Engineering, Science and Mathematics
  • Year: 2018
  • Volume: 7
  • Issue: 1

Some imaginary step fuzzy soft subgroup structures under triangular norms

  • Author:
  • M. Subha1, G. Subbiah2, M. Navaneetha Krishnan3
  • Total Page Count: 18
  • Page Number: 11 to 28

1Assistant Professor in Mathematics, Sri K.G.S. Arts College, Srivaikuntam-628 619, Tamil Nadu, India

2Associate Professor in Mathematics, Sri K.G.S. Arts College, Srivaikuntam-628 619, Tamil Nadu, India

3Associate Professor in Mathematics, Kamaraj College, Thoothukudi-628 003, Tamilnadu, India

AMS Subject Classification [2000]: 06F35, 03G25, 03E72, 20N25

Abstract

In this article, we combine complex soft fuzzy set and fuzzy soft subgroup. We introduce the notion of t-level complex fuzzy soft subgroup, step complex fuzzy soft subgroup and study fundamental properties. Also the basic operations like union, intersection, product, cartesian product of two complex fuzzy soft subgroups are studied. Furthermore, we define a t-level subset and t-level subgroup and then some of their properties are studied.

Keywords

Complex fuzzy soft group, t-level subgroup, t-norm, step complex fuzzy soft group, cartesian product, phase term