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Issue:On decomposition of intuitionistic fuzzy prime submodules: Difference between revisions

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{{issue/author
{{issue/author
  | author          = A. Haydar Eş
| author {{issue/author
  | institution    = Department of Mathematics Education, Başkent University
  | author          = P. K. Sharma
  | address        = Bağlıca, 06490 Ankara, Turkey
  | institution    = Post Graduate Department of Mathematics, D.A.V. College
  | email-before-at = haydares
| address        = Jalandhar, Punjab, India
  | email-after-at  = baskent.edu.tr
| email-before-at =  pksharma
| email-after-at  = davjalandhar.com
}}
{{issue/author
| author          = Kanchan
| institution    = Research Scholar, IKG PT University
  | address        = Jalandhar, Punjab, India
  | email-before-at = kanchan4usoh
  | email-after-at  = gmail.com
}}
{{issue/author
| author          = D. S. Pathania
| institution    = Department of Applied Sciences, GNDEC
| address        = Ludhiana, Punjab, India
| email-before-at = despathania
| email-after-at  = yahoo.com
}}
}}


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# Atanassov K. T. (1983). [http://biomed.bas.bg/bioautomation/2016/vol_20.s1/files/20.s1_02.pdf Intuitionistic Fuzzy Sets], VII ITKR Session, Sofia, 2023 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: (2016) Int. J. Bioautomation, 20(S1), S1-S6 (in English).
# Akray, I., & Hussein, H. S. (2017). I-Prime Submodules, Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis, 33, 165–173.
# Atanassov, K. T., & Stoeva, S. (1984). Intuitionistic L-fuzzy sets, Cybernetics and System Research, 2, 539-540.  
# Amini, A., Amini, B. & Sharif, H. (2006). Prime and primary submodule of certain modules, Czechoslovak Mathematical Journal, 56 (131), 641–648.
# Atanassov, K. T. (1986). [[Issue:Intuitionistic fuzzy sets|Intuitionistic fuzzy sets]], Fuzzy Sets and Systems, 20 (1), 87-96.  
# Atanassov, K. T. (1986). [[Issue:Intuitionistic fuzzy sets|Intuitionistic fuzzy sets]], Fuzzy Sets and Systems, 20 (1), 87–96.  
# Chang, C. L. (1968). Fuzzy topological spaces, J. Math. Anal., 24, 182-190.  
# Bakhadach, I., Melliani, S. Oukessou, M., & Chadli, L. S. (2016). [[Issue:Intuitionistic fuzzy ideal and intuitionistic fuzzy prime ideal in a ring|Intuitionistic fuzzy ideal and intuitionistic fuzzy prime ideal in a ring]], Notes on Intuitionistic Fuzzy Sets, 22 (2), 59–63.
# Çoker, D. (1997). An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems, 88, 81-89.  
# Basnet, D. K. (2011). Topics in Intuitionistic Fuzzy Algebra, Lambert Academic Publishing, ISBN: 978-3-8443-9147-3.
# Çoker, D., & Eş, A. H. (1995). On fuzzy compactness in intuitionistic fuzzy topological spaces, The Journal of Fuzzy Mathematics, 3, 899-909.  
# Meena, K., & Thomas, K. V. (2011). Intuitionistic L-Fuzzy Subrings, International Mathematical Forum, 6 (52), 2561–2572.
# Eş, A. H. (1987). Almost compactness and near compactness in fuzzy topological spaces, Fuzzy Sets and Systems, 22, 289-295.  
# Lu, C. P. (1984). Prime Submodules of Modules, Comment. Math. Univ. Sancti Paulli, 33 (1), 61–69.
# Concilio, A. Di, & Gerla, G. (1984). Almost compactness in fuzzy topological spaces, Fuzzy Sets and Systems, 13, 184-192.  
# McCasland, R. L., & Moore, M. E. (1992). Prime Submodules, Comm. Algebra, 20 (6), 1803–1817.
# Kocinac, Lj. D. R. (1999). Star-Menger and related spaces II, Filomat, 13, 129-140.  
# Tiras¸, Y. & Harmanci, A. (2000). On Prime Submodules and Primary Decomposition, Czech. Math. J., 50 (125), 83–90.
# Menger, K. (1924). Einige Überdeckungssatze der Punktmengenlehre, Sitzungsberichte Abt. 2a, Mathematik, Astronomie, Physik, Meteorologie und Mechanik. Wiener Akademie, Wien, 133, 421-444.  
# Sharma, P. K. (2016). Reducibility and Complete Reducibility of intuitionistic fuzzy G-modules, Annals of Fuzzy Mathematics and Informatics, 11 (6), 885–898.
# Parvez, A., & Khan, M. (2019). On Nearly Menger and Nearly Star-Menger Spaces, Filomat, 33 (19), 6219-6227.  
# Sharma P. K., & Kaur, G. (2017). Residual quotient and annihilator of intuitionistic fuzzy sets of ring and module, International Journal of Computer Sciences and Information Techonology, 9 (4), 1–15.
# Rothberger, F. (1938). Eine Verscharfung dar Eigenschaft G, Fund. Math., 30, 50-55.  
# Sharma P. K., & Kaur, G. (2017). Intuitionistic fuzzy prime spectrum of a ring, CiiT International Journal of Fuzzy Systems, 9 (8), 167–175.
# Scheepers, M. (1996). Combinatorics of open covers I: Ramsey Theory, Topology Appl., 73, 241-266.  
# Sharma P. K., & Kaur, G. (2018). [[Issue:On intuitionistic fuzzy prime submodules|On intuitionistic fuzzy prime submodules]], Notes on Intuitionistic Fuzzy Sets, 24 (4), 97–112.
# Zadeh, L. A. (1965). Fuzzy sets, Information and Control, 8, 338-353.  
 
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Revision as of 11:39, 26 September 2020

shortcut
http://ifigenia.org/wiki/issue:nifs/26/2/25-32
Title of paper: On decomposition of intuitionistic fuzzy prime submodules
Author(s): {{issue/author
author
P. K. Sharma
Post Graduate Department of Mathematics, D.A.V. College, Jalandhar, Punjab, India
pksharma@davjalandhar.com
Kanchan
Research Scholar, IKG PT University, Jalandhar, Punjab, India
kanchan4usoh@gmail.com
D. S. Pathania
Department of Applied Sciences, GNDEC, Ludhiana, Punjab, India
despathania@yahoo.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 26 (2020), Number 2, pages 25–32
DOI: https://doi.org/10.7546/nifs.2020.26.2.25-32
Download:  PDF (167  Kb, File info)
Abstract: In this paper, the concepts of intuitionistic fuzzy Mengerness, intuitionistic fuzzy near Mengerness and intuitionistic fuzzy almost Mengerness are introduced and studied. We give some characterizations of intuitionistic fuzzy almost Mengerness in terms of intuitionistic fuzzy regular open or intuitionistic fuzzy regular closed.
Keywords: Intuitionistic fuzzy topology, Intuitionistic fuzzy Menger spaces, Intuitionistic fuzzy near Menger spaces, Intuitionistic fuzzy almost Menger spaces.
AMS Classification: 54A40, 03E72.
References:
  1. Akray, I., & Hussein, H. S. (2017). I-Prime Submodules, Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis, 33, 165–173.
  2. Amini, A., Amini, B. & Sharif, H. (2006). Prime and primary submodule of certain modules, Czechoslovak Mathematical Journal, 56 (131), 641–648.
  3. Atanassov, K. T. (1986). Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1), 87–96.
  4. Bakhadach, I., Melliani, S. Oukessou, M., & Chadli, L. S. (2016). Intuitionistic fuzzy ideal and intuitionistic fuzzy prime ideal in a ring, Notes on Intuitionistic Fuzzy Sets, 22 (2), 59–63.
  5. Basnet, D. K. (2011). Topics in Intuitionistic Fuzzy Algebra, Lambert Academic Publishing, ISBN: 978-3-8443-9147-3.
  6. Meena, K., & Thomas, K. V. (2011). Intuitionistic L-Fuzzy Subrings, International Mathematical Forum, 6 (52), 2561–2572.
  7. Lu, C. P. (1984). Prime Submodules of Modules, Comment. Math. Univ. Sancti Paulli, 33 (1), 61–69.
  8. McCasland, R. L., & Moore, M. E. (1992). Prime Submodules, Comm. Algebra, 20 (6), 1803–1817.
  9. Tiras¸, Y. & Harmanci, A. (2000). On Prime Submodules and Primary Decomposition, Czech. Math. J., 50 (125), 83–90.
  10. Sharma, P. K. (2016). Reducibility and Complete Reducibility of intuitionistic fuzzy G-modules, Annals of Fuzzy Mathematics and Informatics, 11 (6), 885–898.
  11. Sharma P. K., & Kaur, G. (2017). Residual quotient and annihilator of intuitionistic fuzzy sets of ring and module, International Journal of Computer Sciences and Information Techonology, 9 (4), 1–15.
  12. Sharma P. K., & Kaur, G. (2017). Intuitionistic fuzzy prime spectrum of a ring, CiiT International Journal of Fuzzy Systems, 9 (8), 167–175.
  13. Sharma P. K., & Kaur, G. (2018). On intuitionistic fuzzy prime submodules, Notes on Intuitionistic Fuzzy Sets, 24 (4), 97–112.
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