| Title of paper:
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Intuitionistic fuzzy hollow submodules
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| Author(s):
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| P. K. Sharma
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| Post Graduate Department of Mathematics, D.A.V. College, Jalandhar, Punjab, India
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| pksharma@davjalandhar.com
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| Gagandeep Kaur
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| Research Scholar, IKG PT University, Jalandhar, Punjab, India
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| taktogagan@gmail.com
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 2, pages 25–32
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| DOI:
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https://doi.org/10.7546/nifs.2018.24.2.25-32
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| Download:
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 PDF (177 Kb Kb, Info)
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| Abstract:
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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.
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| Keywords:
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Intuitionistic fuzzy small submodule, Intuitionistic fuzzy quotient module, Intuitionistic fuzzy indecomposable module, Intuitionistic fuzzy hollow submodule.
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| AMS Classification:
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03F55, 16D10
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| References:
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