A Study on (Q,L)-Fuzzy Normal Subsemiring of a Semiring

S. Sampathu; S. Anita Shanthi; A. Praveen Prakash

doi:doi:10.11648/j.ajam.20150304.14

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A Study on (Q,L)-Fuzzy Normal Subsemiring of a Semiring

S. Sampathu, S. Anita Shanthi, A. Praveen Prakash

Published in American Journal of Applied Mathematics (Volume 3, Issue 4)

Received: 6 May 2015 Accepted: 9 June 2015 Published: 17 July 2015

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Abstract

In this paper, we introduce the concept of (Q,L)-fuzzy normal subsemirings of a semiring and establish some results on these. We also made an attempt to study the properties of (Q,L)-fuzzy normal subsemirings of semiring under homomorphism and anti-homomorphism , and study the main theorem for this. We shall also give new results on this subject.

Published in	American Journal of Applied Mathematics (Volume 3, Issue 4)
DOI	10.11648/j.ajam.20150304.14
Page(s)	185-188
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

(Q,L)-Fuzzy Subset, (Q,L)-Fuzzy Subsemiring, (Q,L)-Fuzzy Normal Subsemiring, Product Of (Q,L)-Fuzzy Subsets, Strongest (Q, L)-Fuzzy Relation, Pseudo (Q, L)-Fuzzy Coset

References

[1]	Azriel Rosenfeld, Fuzzy Groups, Journal of mathematical analysis and applications, 35, 512-517 (1971).
[2]	Anthony. J. M. and Sherwood. H, Fuzzy groups Redefined, Journal of mathematical analysis and applications, 69,124 -130 (1979 ).
[3]	Asok Kumer Ray, On product of fuzzy subgroups, fuzzy sets and sysrems, 105, 181-183 (1999 ).
[4]	Biswas. R, Fuzzy subgroups and Anti-fuzzy subgroups, Fuzzy sets and systems, 35,121-124 ( 1990 ).
[5]	Mustafa Akgul, Some properties of fuzzy groups, Journal of mathematical analysis and applications, 133, 93-100 (1988).
[6]	Mohamed Asaad, Groups and fuzzy subgroups, fuzzy sets and systems (1991), North-Holland.
[7]	Palaniappan. N & Arjunan. K, Operation on fuzzy and anti fuzzy ideals, Antartica J. Math., 4(1) (2007), 59-64.
[8]	Prabir Bhattacharya, Fuzzy Subgroups: Some Characterizations, Journal of Mathematical Analysis and Applications, 128, 241-252 (1987).
[9]	Rajesh Kumar, Fuzzy Algebra, Volume 1, University of Delhi Publication Division, July -1993.
[10]	Salah Abou-Zaid, On generalized characteristic fuzzy subgroups of a finite group, fuzzy sets and systems, 235-241 (1991).
[11]	Sivaramakrishna das. P, Fuzzy groups and level subgroups, Journal of Mathematical Analysis and Applications, 84, 264-269 (1981).
[12]	Solairaju. A and Nagarajan. R, A New Structure and Construction of Q-Fuzzy Groups, Advances in fuzzy mathematics, Volume 4, Number 1 (2009), 23-29.
[13]	Tang J, Zhang X (2001). Product Operations in the Category of L –fuzzy groups. J. Fuzzy Math., 9:1-10.
[14]	Vasantha kandasamy. W. B, Smarandache fuzzy algebra, American research press, Rehoboth -2003.
[15]	Zadeh. L. A., Fuzzy sets , Information and control ,Vol.8, 338-353 (1965).

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APA Style

S. Sampathu, S. Anita Shanthi, A. Praveen Prakash. (2015). A Study on (Q,L)-Fuzzy Normal Subsemiring of a Semiring. American Journal of Applied Mathematics, 3(4), 185-188. https://doi.org/10.11648/j.ajam.20150304.14

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ACS Style

S. Sampathu; S. Anita Shanthi; A. Praveen Prakash. A Study on (Q,L)-Fuzzy Normal Subsemiring of a Semiring. Am. J. Appl. Math. 2015, 3(4), 185-188. doi: 10.11648/j.ajam.20150304.14

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AMA Style

S. Sampathu, S. Anita Shanthi, A. Praveen Prakash. A Study on (Q,L)-Fuzzy Normal Subsemiring of a Semiring. Am J Appl Math. 2015;3(4):185-188. doi: 10.11648/j.ajam.20150304.14

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@article{10.11648/j.ajam.20150304.14,
  author = {S. Sampathu and S. Anita Shanthi and A. Praveen Prakash},
  title = {A Study on (Q,L)-Fuzzy Normal Subsemiring of a Semiring},
  journal = {American Journal of Applied Mathematics},
  volume = {3},
  number = {4},
  pages = {185-188},
  doi = {10.11648/j.ajam.20150304.14},
  url = {https://doi.org/10.11648/j.ajam.20150304.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20150304.14},
  abstract = {In this paper, we introduce the concept of (Q,L)-fuzzy normal subsemirings of a semiring and establish some results on these. We also made an attempt to study the properties of (Q,L)-fuzzy normal subsemirings of semiring under homomorphism and anti-homomorphism , and study the main theorem for this. We shall also give new results on this subject.},
 year = {2015}
}

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TY  - JOUR
T1  - A Study on (Q,L)-Fuzzy Normal Subsemiring of a Semiring
AU  - S. Sampathu
AU  - S. Anita Shanthi
AU  - A. Praveen Prakash
Y1  - 2015/07/17
PY  - 2015
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DO  - 10.11648/j.ajam.20150304.14
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
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EP  - 188
PB  - Science Publishing Group
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AB  - In this paper, we introduce the concept of (Q,L)-fuzzy normal subsemirings of a semiring and establish some results on these. We also made an attempt to study the properties of (Q,L)-fuzzy normal subsemirings of semiring under homomorphism and anti-homomorphism , and study the main theorem for this. We shall also give new results on this subject.
VL  - 3
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Author Information

S. Sampathu

Department of Mathematics, Sri Muthukumaran College of Education, Chikkarayapuram, Chennai, Tamil Nadu, India
S. Anita Shanthi

Department of Mathematics, Annamalai University, Tamil Nadu, India
A. Praveen Prakash

Department of Mathematics, Hindustan University, Padur, Tamil Nadu, India

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APA Style

S. Sampathu, S. Anita Shanthi, A. Praveen Prakash. (2015). A Study on (Q,L)-Fuzzy Normal Subsemiring of a Semiring. American Journal of Applied Mathematics, 3(4), 185-188. https://doi.org/10.11648/j.ajam.20150304.14

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ACS Style

S. Sampathu; S. Anita Shanthi; A. Praveen Prakash. A Study on (Q,L)-Fuzzy Normal Subsemiring of a Semiring. Am. J. Appl. Math. 2015, 3(4), 185-188. doi: 10.11648/j.ajam.20150304.14

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AMA Style

S. Sampathu, S. Anita Shanthi, A. Praveen Prakash. A Study on (Q,L)-Fuzzy Normal Subsemiring of a Semiring. Am J Appl Math. 2015;3(4):185-188. doi: 10.11648/j.ajam.20150304.14

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@article{10.11648/j.ajam.20150304.14,
  author = {S. Sampathu and S. Anita Shanthi and A. Praveen Prakash},
  title = {A Study on (Q,L)-Fuzzy Normal Subsemiring of a Semiring},
  journal = {American Journal of Applied Mathematics},
  volume = {3},
  number = {4},
  pages = {185-188},
  doi = {10.11648/j.ajam.20150304.14},
  url = {https://doi.org/10.11648/j.ajam.20150304.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20150304.14},
  abstract = {In this paper, we introduce the concept of (Q,L)-fuzzy normal subsemirings of a semiring and establish some results on these. We also made an attempt to study the properties of (Q,L)-fuzzy normal subsemirings of semiring under homomorphism and anti-homomorphism , and study the main theorem for this. We shall also give new results on this subject.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - A Study on (Q,L)-Fuzzy Normal Subsemiring of a Semiring
AU  - S. Sampathu
AU  - S. Anita Shanthi
AU  - A. Praveen Prakash
Y1  - 2015/07/17
PY  - 2015
N1  - https://doi.org/10.11648/j.ajam.20150304.14
DO  - 10.11648/j.ajam.20150304.14
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 185
EP  - 188
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20150304.14
AB  - In this paper, we introduce the concept of (Q,L)-fuzzy normal subsemirings of a semiring and establish some results on these. We also made an attempt to study the properties of (Q,L)-fuzzy normal subsemirings of semiring under homomorphism and anti-homomorphism , and study the main theorem for this. We shall also give new results on this subject.
VL  - 3
IS  - 4
ER  -

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