Fuzzy Rough G-Border and Fuzzy Rough G-Exterior in Fuzzy Rough Topological Groups

Authors and Affiliations

  • D. Vidhya
  • T. Yogalakshmi
  • V. Visalakshi

About this article

DOI:

https://doi.org/10.14419/ijet.v7i4.10.26637

Download PDF

Keywords:

fuzzy rough G-border and fuzzy rough G-exteriror.

Abstract

This paper investigates the concepts of fuzzy rough G-border and fuzzy rough G-exterior. Some interesting properties are established. Also the relationship between them are established.

References

Biswas R and Nanda S(1994), Rough Groups and Rough Sub-groups. Bull. Polish Acad Sci. Math 42, 251-254.

Caldas M, Jafari S and Noiri T(2007), Notions via g- open sets. Kochi. J. Math 2.

Chang C L(1968), Fuzzy topological spaces, J. Math. Anal. Appl.,Vol. 24, pp.182 - 190.

Mondal TK and Samanta SK(2001), Intuitionistic Fuzzy Rough Sets and Rough Intuitionistic Fuzzy Sets. The Journal of Fuzzy Mathematics 9 , 561-582.

Mathew BP and John SJ(2012), On Rough Topological Spaces. International Journal of Mathematical Archive 3(9), 3413-3421.

View more references (9)

Nanda S and Majumdar S(1992), Fuzzy Rough Sets. Fuzzy Sets and Systems 45, 157-160.

Pawlak Z(1982), Rough sets. Internat. J. Inform. Comput. Sci 11(5), 341-356.

Smets P(1981), The Degree of Belief in a Fuzzy Event. Infor-mation Sciences 25, 1-19.

Sugeno M(1985), An Introductory Survey of Fuzzy Control. Infor-mation Sciences 36, 59-83.

Vidhya D, Roja E and Uma MK(2014), Algebraic Fuzzy Roguh Sheaf Group Formed by Pointed Fuzzy Rough Topological Group. Int. J. Math. and Comp. Appl. Research 4(1), 51-58.

Vidhya D, Roja E and Uma MK(2015), On Fuzzy Rough BG-Boundary Spaces. Annals of Fuzzy Mathematics and Informatics 10(4), 137-140.

Yogalakshmi T (2016), On pairwise intuitionistic fuzzy b-disconnectedness. Global Journal of Pure and Applied Mathematics 12(3), 895 - 899.

Yogalakshmi T(2017), Disconnectedness in soft fuzzy centred sysems. International journal of pure and applied mathematics 115(9 ), 223 - 229.

Zadeh LA(1965), Fuzzy Sets. Information and Control 8, 338-353.


How to Cite

Vidhya, D., Yogalakshmi, T., & Visalakshi, V. (2018). Fuzzy Rough G-Border and Fuzzy Rough G-Exterior in Fuzzy Rough Topological Groups. International Journal of Engineering and Technology, 7(4.10), 970-973. https://doi.org/10.14419/ijet.v7i4.10.26637

Downloads