Connectedness and Compactness of Fuzzy (Anti- Fuzzy) Subgroups and Fuzzy (Anti- Fuzzy) Normal Subgroups

Authors

  • Dr. S. Chandrasekaran  Head, Department of Mathematics, Khadir Mohideen college, Adirampattinam, Tamilnadu,India
  • N. Deepica  Research Scholar, Department of Mathematics, Khadir Mohideen college, Adirampattinam, Tamilnadu, India

DOI:

https://doi.org//10.32628/IJSRSET196166

Keywords:

Fuzzy Subgroup, Anti- Fuzzy Subgroup, Fuzzy Normal Sub Group, Anti- Fuzzy Normal Sub Group, Closed Sets, Compositions, Compactness And Connected.

Abstract

In this paper, We discuss the definition of fuzzy subgroup, definition of anti- fuzzy subgroup,the definition of fuzzy normal subgroup, definition of anti- fuzzy normal subgroup and show the relation between fuzzy normal subgroups and an Anti- fuzzy normal subgroups and derive the definitions of Connectedness and also the definitions of Seperation and derive some theorems on Compactness and Connectedness and define some results on compactness in Fuzzy (anti- fuzzy) subgroups and Fuzzy (anti- fuzzy) normal subgroups.

References

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International Journal of Scientific Research in Science, Engineering and Technology

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Published

2019-02-28

Issue

Volume 6, Issue 1, January-February-2019

Section

Research Articles

License

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Creative Commons License

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

How to Cite

[1]
Dr. S. Chandrasekaran, N. Deepica, " Connectedness and Compactness of Fuzzy (Anti- Fuzzy) Subgroups and Fuzzy (Anti- Fuzzy) Normal Subgroups, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 6, Issue 1, pp.392-401, January-February-2019. Available at doi : https://doi.org/10.32628/IJSRSET196166