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

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), 2015. 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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    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
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    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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Author Information
  • Department of Mathematics, Sri Muthukumaran College of Education, Chikkarayapuram, Chennai, Tamil Nadu, India

  • Department of Mathematics, Annamalai University, Tamil Nadu, India

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

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