Issue:On decomposition of intuitionistic fuzzy prime submodules - Revision history

Vassia Atanassova: correct abstract

2020-10-05T05:26:34Z

correct abstract

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	\| 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 =

Vassia Atanassova at 09:40, 26 September 2020

2020-09-26T09:40:15Z

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	{{issue/author		{{issue/author
	~~\| author {{issue/author~~
	\| author = P. K. Sharma		\| author = P. K. Sharma
	\| institution = Post Graduate Department of Mathematics, D.A.V. College		\| institution = Post Graduate Department of Mathematics, D.A.V. College

Vassia Atanassova at 09:39, 26 September 2020

2020-09-26T09:39:43Z

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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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	\| 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 =
	}}		}}

Vassia Atanassova: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

2020-09-26T09:33:57Z

Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

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[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2020 year|{{PAGENAME}}]]
{{issue/title
| title = On decomposition of intuitionistic fuzzy prime submodules
| shortcut = nifs/26/2/25-32
}}
{{issue/author
| author = A. Haydar Eş
| institution = Department of Mathematics Education, Başkent University
| address = Bağlıca, 06490 Ankara, Turkey
| email-before-at = haydares
| email-after-at = baskent.edu.tr
}}

{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/26/2|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
| file = NIFS-26-2-25-32.pdf
| format = PDF
| 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.

| keywords = Intuitionistic fuzzy topology, Intuitionistic fuzzy Menger spaces, Intuitionistic fuzzy near Menger spaces, Intuitionistic fuzzy almost Menger spaces.
| ams = 54A40, 03E72.
| 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).
# Atanassov, K. T., & Stoeva, S. (1984). Intuitionistic L-fuzzy sets, Cybernetics and System Research, 2, 539-540.
# 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.
# Çoker, D. (1997). An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems, 88, 81-89.
# Çoker, D., & Eş, A. H. (1995). On fuzzy compactness in intuitionistic fuzzy topological spaces, The Journal of Fuzzy Mathematics, 3, 899-909.
# Eş, A. H. (1987). Almost compactness and near compactness in fuzzy topological spaces, Fuzzy Sets and Systems, 22, 289-295.
# Concilio, A. Di, & Gerla, G. (1984). Almost compactness in fuzzy topological spaces, Fuzzy Sets and Systems, 13, 184-192.
# Kocinac, Lj. D. R. (1999). Star-Menger and related spaces II, Filomat, 13, 129-140.
# Menger, K. (1924). Einige Überdeckungssatze der Punktmengenlehre, Sitzungsberichte Abt. 2a, Mathematik, Astronomie, Physik, Meteorologie und Mechanik. Wiener Akademie, Wien, 133, 421-444.
# Parvez, A., & Khan, M. (2019). On Nearly Menger and Nearly Star-Menger Spaces, Filomat, 33 (19), 6219-6227.
# Rothberger, F. (1938). Eine Verscharfung dar Eigenschaft G, Fund. Math., 30, 50-55.
# Scheepers, M. (1996). Combinatorics of open covers I: Ramsey Theory, Topology Appl., 73, 241-266.
# Zadeh, L. A. (1965). Fuzzy sets, Information and Control, 8, 338-353.

| citations =
| see-also =
}}