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

2018-05-11T09:26:35Z

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[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2018 year|{{PAGENAME}}]]
{{issue/title
| title = Intuitionistic fuzzy hollow submodules
| shortcut = nifs/24/2/25-32
}}
{{issue/author
| author = P. K. 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, IKG PT University
| address = Jalandhar, Punjab, India
| email-before-at = taktogagan
| email-after-at = gmail.com
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/24/2|Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 2]], pages 25–32
| doi = https://doi.org/10.7546/nifs.2018.24.2.25-32
| file = NIFS-24-2-025-032.pdf
| format = PDF
| size = 177 Kb
| abstract = In this paper, the notion of intuitionistic fuzzy hollow submodule of a module is defined. We attempt to investigate various properties of this module. A characterization of an intuitionistic fuzzy hollow module in terms of an intuitionistic fuzzy quotient modules is established. A relationship between a hollow submodule, and an indecomposable intuitionistic fuzzy submodule is also obtained. We also investigate the nature of equivalent conditions of intuitionistic fuzzy small submodules, and intuitionistic fuzzy hollow submodules.
| keywords = Intuitionistic fuzzy small submodule, Intuitionistic fuzzy quotient module, Intuitionistic fuzzy indecomposable module, Intuitionistic fuzzy hollow submodule.
| ams = 03F55, 16D10
| references =

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# Atanassov, K. T. (1999) Intuitionistic Fuzzy Sets: Theory and Applications, Physica-Verlag, Heidelberg (1999).
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# Biswas, R. (1989) Intuitionistic fuzzy subgroup, Mathematical Forum, X, 37–46.
# Bland Paul, E. Rings and their modules, published by the Deutsche Nationalbibliothek, Germany 2012, ISBN 978-3-11-025022-0.
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# Rahman, S. & Saikia, H. K. (2012) Some aspects of Atanassov’s intuitionistic fuzzy submodules, Int. J. Pure and Appl. Mathematics, 77(3), 369–383.
# Rahman, S. (2016) Fuzzy hollow submodules, Annals of Fuzzy Mathematics and Informatics, 12(5), 601–608.
# 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. & Kaur, Gagandeep (2016) Intuitionistic fuzzy superfluous module, Notes on Intuitionistic Fuzzy Sets, 22(3), 34–46.
# Sharma , P. K. & Kaur, Gagandeep (2017) Intuitionistic fuzzy cosmall submodule, CiiT International Journal of Fuzzy System, 9(9), 185–188.
# Wisbaure, R. (1991) Foundation of Module and Ring Theory, Gordon and Breach: Philadelphia.
# Zadeh, L. A. (1965) Fuzzy Sets, Inform. Control., 8, 338–353.

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