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

  1. Duraimanickam. N, Deepica.N -Algebraic structure of union of fuzzy subgroups and fuzzy sub -bigroups -International journal of current Research and Modern education - Special issues , July - 2017 , ISSN: 2455-5428.
  2. Duraimanickam. N, Deepica. N -Algebraic structure of union of fuzzy sub - trigroups and fuzzy sub -N groups -International Journal of Advanced Research Publications, Volume 1, Issue 5, November 2017, ISSN: 2456 - 9992 .
  3. Duraimanickam. N, Deepica. N -Algebraic structure of union of Anti-fuzzy subgroups and Anti-fuzzy sub -bigroups and Anti- fuzzy Sub-trigroups - National Conference on Emerging Trends in Mathematical Techniques(NCETMT 2017), ISBN : 978-93-84008-24-6.
  4. Chandrasekaran .S, Deepica.N -Relation between Fuzzy subgroups and Anti- Fuzzy subgroups - IJIRST -International Journal for Innovative Research in Science & Technology| Volume 5 | Issue 9 | February 2019 , ISSN (online): 2349-6010.
  5. Arumugam.S, Thangapandi Isaac. A.-Modern Algebra- SciTech Publications (India) Pvt. Ltd.(2003) .
  6. Muthuraj.R, Rajinikannan. M , Muthuraman.M.S - A Study on Anti- Fuzzy Sub -bigroup - International Journal of Computer Applications Volume 2 -No.1,May 2010 (0975- 8887) .
  7. Nanda.S, Das. N.R- Fuzzy Mathematical concepts. - Narosa Publishing House Pvt. Ltd. (2010).
  8. Nirmala .G, Suganthi. S - Fuzzy Sub - Trigroup - Trilevel Properties.- International Journal of Scientific and Research Publications,Volume 2, Issue 6, June 2012 ISSN 2250 - 3153.
  9. Nirmala.G, Suganthi. S - Fuzzy Sub - Trigroup - Characteristics.- International Journal of Scientific and Research, Volume: 2, Issue: 11, November 2013. ISSN No 2277 - 8179.
  10. Vasanthakandasamy .W.B - Smarandache Fuzzy Algebra.

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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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