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Union of Fuzzy Normal Semi- “N” Groups and Anti- Fuzzy Normal Semi- “N” Groups (for n= 1,2,….n)

N. Deepica1

Section:Research Paper, Product Type: Journal-Paper
Vol.6 , Issue.6 , pp.96-104, Dec-2019


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i6.96104


Online published on Dec 31, 2019


Copyright © N. Deepica . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: N. Deepica, “Union of Fuzzy Normal Semi- “N” Groups and Anti- Fuzzy Normal Semi- “N” Groups (for n= 1,2,….n),” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.6, pp.96-104, 2019.

MLA Style Citation: N. Deepica "Union of Fuzzy Normal Semi- “N” Groups and Anti- Fuzzy Normal Semi- “N” Groups (for n= 1,2,….n)." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.6 (2019): 96-104.

APA Style Citation: N. Deepica, (2019). Union of Fuzzy Normal Semi- “N” Groups and Anti- Fuzzy Normal Semi- “N” Groups (for n= 1,2,….n). International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(6), 96-104.

BibTex Style Citation:
@article{Deepica_2019,
author = {N. Deepica},
title = {Union of Fuzzy Normal Semi- “N” Groups and Anti- Fuzzy Normal Semi- “N” Groups (for n= 1,2,….n)},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {12 2019},
volume = {6},
Issue = {6},
month = {12},
year = {2019},
issn = {2347-2693},
pages = {96-104},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1632},
doi = {https://doi.org/10.26438/ijcse/v6i6.96104}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i6.96104}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1632
TI - Union of Fuzzy Normal Semi- “N” Groups and Anti- Fuzzy Normal Semi- “N” Groups (for n= 1,2,….n)
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - N. Deepica
PY - 2019
DA - 2019/12/31
PB - IJCSE, Indore, INDIA
SP - 96-104
IS - 6
VL - 6
SN - 2347-2693
ER -

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Abstract :
In this paper, definition of Fuzzy normal semigroup, definition of Fuzzy normal semi bi-group, definition of Fuzzy normal semi tri-group, definition of Fuzzy normal semi – Quadratic group, definition of fuzzy normal semi- Pentant group and definition of Fuzzy normal semi –N groups are invented. Moreover, some properties and theorems of union in fuzzy normal based on these have been invented.

Key-Words / Index Term :
Union of Fuzzy subsets, Fuzzy Normal semigroup, Fuzzy Normal semi-bigroup, Fuzzy Normal semi-trigroup , Fuzzy Normal semi – Quadratic group, Fuzzy Normal semi - Pendant group and Fuzzy Normal semi –N groups

References :
[1]. Dr. S.Chandrasekaran, N. Deepica “Relation between Fuzzy subgroups and Anti- Fuzzy subgroups“ , IJIRST –International Journal for Innovative Research in Science & Technology| Volume 5 , Issue 9 , pp.1-5, February 2019 .
[2]. Dr. S. Chandrasekaran, N.Deepica “Union of Fuzzy Sub-Quadradicgroups , Fuzzy Sub - Pendantgroups and Fuzzy Sub- N groups” - International Journal of Scientific Research in Science, Engineering and Technology (IJSRSET),Volume 6, Issue 1, page number : 303-311, January-February 2019.
[3]. 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), Volume 6 , Issue 1, page number: 312-322, January-February 2019.
[4]. Dr.S.Chandrasekaran, N. Deepica, " Connectedness and Compactness of Fuzzy (Anti - Fuzzy) Subgroups and Fuzzy (Anti - Fuzzy) Normal Sub groups", International Journal of Scientific Research in Science, Engineering and Technology (IJSRSET), Volume 6 , Issue 1, page number : 392-401, January-February 2019.
[5]. Dr.S. Chandrasekaran ,N. Deepica “Union of Anti - Fuzzy Sub - Quadradic groups , Anti - Fuzzy Sub - Pendant groups and Anti- Fuzzy Sub - N groups” , - International Research Journal of Pure Algebra - / IRJPA- 9(3), March-2019.,Page number : 1-11.
[6]. N.Duraimanickam, N.Deepica –
“Algebraic structure of union of fuzzy subgroups and fuzzy sub –bigroups” – National Conference on Emerging Trends in Mathematics - 2017 On 28th July 2017 - Organized by PG and Research Department of Mathematics, A. V. V. M. Sri Pushpam College (Autonomous), Poondi , Thanjavur (Dt.), Tamilnadu. - International journal of current Research and Modern education – Special issues , July – 2017 , ISSN: 2455-5428. Page Number : 95-99.
[7]. N. Duraimanickam, N. Deepica–“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, Page Number : 374-378
[8]. N. Duraimanickam, N. Deepica –Algebraic structure of union of Anti-fuzzy subgroups and Anti-fuzzy
sub –bigroups and Anti- fuzzy
Sub-trigroups”– In the Proceeding of the 2017 National Conference on Emerging Trends in Mathematical Techniques(NCETMT2017), Organized by PG Department of Mathematics, Sengamala Thayaar Educational Trust Women’s College Mannargudi , Tiruvarur (Dt.), Tamilnadu , India . Page Number : 56 - 64 .

[9]. S.Arumugam,A.Thangapandi Isaac.-ModernAlgebra-SciTech Publications (India) Pvt. Ltd.(2003) .
[10]. R. Muthuraj, M. Rajinikannan , M.S. Muthuraman – A Study on Anti- Fuzzy Sub –bigroup – International Journal of Computer Applications Volume 2 –No.1,May 2010 (0975- 8887) .
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