Issue:Intuitionistic fuzzy superfluous submodule - Revision history

Vassia Atanassova: Text replacement - ""Notes on IFS", Volume" to ""Notes on Intuitionistic Fuzzy Sets", Volume"

2024-08-28T15:58:02Z

Text replacement - ""Notes on IFS", Volume" to ""Notes on Intuitionistic Fuzzy Sets", Volume"

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	{{issue/data		{{issue/data
	\| conference = 20th [[International Conference on Intuitionistic Fuzzy Sets]], 2–3 September 2016, Sofia, Bulgaria		\| conference = 20th [[International Conference on Intuitionistic Fuzzy Sets]], 2–3 September 2016, Sofia, Bulgaria
	\| issue = [[Notes on Intuitionistic Fuzzy Sets/22/3\|"Notes on ~~IFS~~", Volume 22, 2016, Number 3]], pages 34—46		\| issue = [[Notes on Intuitionistic Fuzzy Sets/22/3\|"Notes on Intuitionistic Fuzzy Sets", Volume 22, 2016, Number 3]], pages 34—46
	\| file = NIFS-22-3-034-046.pdf		\| file = NIFS-22-3-034-046.pdf
	\| format = PDF		\| format = PDF

Peter Vassilev at 13:39, 1 September 2016

2016-09-01T13:39:43Z

← Older revision		Revision as of 16:39, 1 September 2016
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	# Atanassov, K. T. (1994) New operation defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61, 137–142.		# Atanassov, K. T. (1994) New operation defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61, 137–142.
	# Atanassov, K. T. (1999) Intuitionistic Fuzzy Sets: Theory and Applications, Series Studies on Fuzziness and Soft Computing, Vol. 35, Springer Physica-Verlag, Heidelberg.		# Atanassov, K. T. (1999) Intuitionistic Fuzzy Sets: Theory and Applications, Series Studies on Fuzziness and Soft Computing, Vol. 35, Springer Physica-Verlag, Heidelberg.
	# Basnet, D. K., Sarma, N. K., & Singh, L. B. (2010) Fuzzy Superfluous Submodule, Proceedings of the 6th IMT-GT Conference on Mathematics, Statistics and its Applications		# Basnet, D. K., Sarma, N. K., & Singh, L. B. (2010) Fuzzy Superfluous Submodule, Proceedings of the 6th IMT-GT Conference on Mathematics, Statistics and its Applications (ICMSA2010), 3–4 November, 2010, Kualalumpur, Malaysia., 330–335.
	(ICMSA2010), 3–4 November, 2010, Kualalumpur, Malaysia., 330–335.
	# Basnet, D. K. (2011) Topics in Intuitionistic Fuzzy Algebra, Lambert Academic Publishing, Germany.		# Basnet, D. K. (2011) Topics in Intuitionistic Fuzzy Algebra, Lambert Academic Publishing, Germany.
	# Biswas, R. (1989) Intuitionistic fuzzy subgroup, Mathematical Forum, X, 37–46.		# Biswas, R. (1989) Intuitionistic fuzzy subgroup, Mathematical Forum, X, 37–46.

Peter Vassilev: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

2016-09-01T13:38:20Z

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 2016 year|{{PAGENAME}}]]
{{issue/title
| title = Intuitionistic fuzzy superfluous submodule
| shortcut = nifs/22/3/34-46
}}
{{issue/author
| author = Poonam Kumar Sharma
| institution = Post Graduate, Department of Mathematics, D.A.V. College
| address = Jalandhar, Punjab, India
| email-before-at = pksharma
| email-after-at = davjalandhar.com
}}
{{issue/author
| author = Gagandeep Kaur
| institution = Research scholar, I. K. Gujral Punjab Technical University
| address = Jalandhar, Punjab, India
| email-before-at = talktogagandeep
| email-after-at = gmail.com
}}

{{issue/data
| conference = 20th [[International Conference on Intuitionistic Fuzzy Sets]], 2–3 September 2016, Sofia, Bulgaria
| issue = [[Notes on Intuitionistic Fuzzy Sets/22/3|"Notes on IFS", Volume 22, 2016, Number 3]], pages 34—46
| file = NIFS-22-3-034-046.pdf
| format = PDF
| size = 132
| abstract = In this paper, we introduce the notion of intuitionistic fuzzy superfluous (or small) submodule of a module and study some of their properties. We establish the condition of an intuitionistic
fuzzy submodule to be an intuitionistic fuzzy superfluous submodule. A relationship between superfluous submodule and the intuitionistic fuzzy superfluous submodule is derived. We also study the nature of intuitionistic fuzzy superfluous submodules under intuitionistic fuzzy direct sum. A relation regarding intuitionistic fuzzy superfluous submodule and intuitionistic fuzzy quotient module is established. It is shown that the well-known relation between the Jacobson radical and the superfluous submodules does not hold in case of intuitionistic fuzzy superfluous submodules.
| keywords = Intuitionistic fuzzy superfluous submodules, Intuitionistic fuzzy indecomposable modules, Intuitionistic fuzzy direct sum, Intuitionistic fuzzy radical.
| ams = 03F55, 16D10.
| references =
# Anderson, F. W. & Fuller K. R. (1992) Rings and Categories of Modules, Second edition, Springer Verlag.
# Atanassov, K. T. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), 87–96.
# Atanassov, K. T. (1994) New operation defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61, 137–142.
# Atanassov, K. T. (1999) Intuitionistic Fuzzy Sets: Theory and Applications, Series Studies on Fuzziness and Soft Computing, Vol. 35, Springer Physica-Verlag, Heidelberg.
# Basnet, D. K., Sarma, N. K., & Singh, L. B. (2010) Fuzzy Superfluous Submodule, Proceedings of the 6th IMT-GT Conference on Mathematics, Statistics and its Applications
(ICMSA2010), 3–4 November, 2010, Kualalumpur, Malaysia., 330–335.
# Basnet, D. K. (2011) Topics in Intuitionistic Fuzzy Algebra, Lambert Academic Publishing, Germany.
# Biswas, R. (1989) Intuitionistic fuzzy subgroup, Mathematical Forum, X, 37–46.
# Bland Paul, E. (2012) Rings and Their Modules, Deutsche Nationalbibliothek, Germany.
# Goodearl, K. R. (1976) Ring Theory, Marcel Dekker INC, New York and Basel.
# Hur, K., Kang, H. W. & Song, H. K. (2003) Intuitionistic Fuzzy Subgroups and Subrings, Honam Math J., 25(1), 19–41.
# Hur, K., Jang, S. Y. & Kang, H. W. (2005) Intuitionistic Fuzzy Ideals of a Ring, Journal of the Korea Society of Mathematical Education, Series B, 12(3), 193–209.
# Isaac, P., & John, P. P. (2011) On Intuitionistic Fuzzy Submodules of a Module, Int. J. of Mathematical Sciences and Applications, 1(3), 1447–1454.
# John, P. P. & Isaac, P. (2012) IFSM’s of an R-Module – A Study, International Mathematical Forum, 19(7), 935–943.
# Negoita, C. V. & Ralescu, D. A. (1975) Applications of Fuzzy Sets and Systems Analysis, Birkhauser, Basel.
# Rahman, S. & Saikia, H. K. (2012) Some aspects of Atanassov’s intuitionistic fuzzy submodules, Int. J. Pure and Appl. Mathematics, 77(3), 369–383.
# Rosenfeld, A. (1971) Fuzzy group, J. Math. Anal. and Appl., 35, 512–517.
# Sharma, P. K. & Kaur, T. (2015) Intuitionistic fuzzy G-modules, Notes on Intuitionistic Fuzzy Sets, 21(1), 6–23.
# Sharma, P. K. (2013) (α,β)-Cut of intuitionistic fuzzy modules–II, Int. J. of Mathematical Sciences and Applications, 3(1), 11–17.
# Sharma, P. K. (2011) (α,β)-Cut of intuitionistic fuzzy modules Int. J. of Mathematical Sciences and Applications, 3(1), 1489–1492.
# Sharma, P. K. Reducibility and Complete Reducibility of intuitionistic fuzzy G-modules, Annals of Fuzzy Mathematics and Informatics (accepted).
# Zadeh, L. A. (1965) Fuzzy sets, Inform. Control., 8, 338–353.

| citations =
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}}