Algebraic Structure of Union of Fuzzy (Anti-Fuzzy) Normal Subgroups, Fuzzy (Anti-Fuzzy) Normal Sub - Bigroups and Soon Fuzzy (Anti-Fuzzy) Normal Sub - N Groups

Authors

  • Dr. S. Chandrasekaran  Head of the Department of Mathematics, Khadir Mohideen College, Adirampattinam, Tamil Nadu, India
  • N. Deepica  Research Scholar, Department of Mathematics, Khadir Mohideen College, Adirampattinam, Tamil Nadu, India

DOI:

https://doi.org//10.32628/IJSRSET196155

Keywords:

Union of Fuzzy subsets, Fuzzy Normal subgroup, Fuzzy Normal sub-bigroup, Fuzzy Normal sub-trigroup , Union of Fuzzy subsets, Fuzzy Normal sub – Quadratic group, Fuzzy Normal sub - Pendant group and Fuzzy Normal sub–N groups.

Abstract

In this paper, union of Fuzzy subsets, definition of Fuzzy normal subgroup, definition of Fuzzy normal sub bi-group, definition of Fuzzy normal sub tri-group, definition of Fuzzy normal sub- Quadratic group, definition of fuzzy normal sub Pentant group and definition of Fuzzy normal sub–N group are derived. Moreover, some properties and theorems of union in fuzzy normal based on these have been derived.

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

Downloads

Published

2019-02-28

Issue

Volume 6, Issue 1, January-February-2019

Section

Research Articles

License

Copyright (c) IJSRSET

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, " Algebraic Structure of Union of Fuzzy (Anti-Fuzzy) Normal Subgroups, Fuzzy (Anti-Fuzzy) Normal Sub - Bigroups and Soon Fuzzy (Anti-Fuzzy) Normal Sub - N Groups, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 6, Issue 1, pp.312-322, January-February-2019. Available at doi : https://doi.org/10.32628/IJSRSET196155