As of August 2024, International Journal "Notes on Intuitionistic Fuzzy Sets" is being indexed in Scopus.
Please check our Instructions to Authors and send your manuscripts to nifs.journal@gmail.com. Next issue: September/October 2024.
Open Call for Papers: International Workshop on Intuitionistic Fuzzy Sets • 13 December 2024 • Banska Bystrica, Slovakia/ online (hybrid mode).
Deadline for submissions: 16 November 2024.

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

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Jump to navigation Jump to search
VisualWikitext
Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."
 
correct abstract
 
(2 intermediate revisions by the same user not shown)
Line 7: Line 7:
}}
}}
{{issue/author
{{issue/author
  | author          = A. Haydar Eş
  | author          = P. K. Sharma
  | institution    = Department of Mathematics Education, Başkent University
  | institution    = Post Graduate Department of Mathematics, D.A.V. College
  | address        = Bağlıca, 06490 Ankara, Turkey
| address        = Jalandhar, Punjab, India
  | email-before-at = haydares
| email-before-at =  pksharma
  | email-after-at  = baskent.edu.tr
| 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
}}
}}


Line 20: Line 34:
  | format          = PDF
  | format          = PDF
  | size            = 167
  | size            = 167
  | 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.
  | abstract        = This article is in continuation of the first author’s previous paper on intuitionistic fuzzy prime submodules, [13]. In this paper, we explore the decomposition of intuitionistic fuzzy submodule as the intersection of finite many intuitionistic fuzzy prime submodules. Many other forms of decomposition like irredundant and normal decomposition are also investigated.
 
  | keywords        = Intuitionistic fuzzy prime ideal (submodule), Residual quotient, Intuitionistic fuzzy prime decomposition, Irredundant and normal decomposition.
  | keywords        = Intuitionistic fuzzy topology, Intuitionistic fuzzy Menger spaces, Intuitionistic fuzzy near Menger spaces, Intuitionistic fuzzy almost Menger spaces.
  | ams            = 03F55, 16D10, 46J20.
  | ams            = 54A40, 03E72.
  | references      =  
  | references      =  


# 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.  
 
  | citations      =  
  | citations      =  
  | see-also        =  
  | see-also        =  
}}
}}

Latest revision as of 07:26, 5 October 2020

shortcut
http://ifigenia.org/wiki/issue:nifs/26/2/25-32
Title of paper: On decomposition of intuitionistic fuzzy prime submodules
Author(s):
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: This article is in continuation of the first author’s previous paper on intuitionistic fuzzy prime submodules, [13]. In this paper, we explore the decomposition of intuitionistic fuzzy submodule as the intersection of finite many intuitionistic fuzzy prime submodules. Many other forms of decomposition like irredundant and normal decomposition are also investigated.
Keywords: Intuitionistic fuzzy prime ideal (submodule), Residual quotient, Intuitionistic fuzzy prime decomposition, Irredundant and normal decomposition.
AMS Classification: 03F55, 16D10, 46J20.
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.
Citations:

The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.

Retrieved from "https://ifigenia.org/index.php?title=Issue:On_decomposition_of_intuitionistic_fuzzy_prime_submodules&oldid=10473"