Path: Top -> Journal -> Jurnal Internasional -> Fuzzy Information and Engineering -> 2019 -> Volume 11, Issue 3
Intuitionistic Fuzzy Small Submodules and Their Properties
Oleh : Behnam Talaee, Fuzzy Information and Engineering
Dibuat : 2021-08-26, dengan 0 file
Keyword : Fuzzy submodule, intuitionistic fuzzy submodule, small submodule, intuitionistic fuzzy small submodule
Url : http://www.tandfonline.com/doi/full/10.1080/16168658.2020.1824380
Sumber pengambilan dokumen : Web
The concept of an intuitionistic fuzzy set, which is a generalisation of fuzzy set, was introduced by K. T. Atanassov in 1986. In this paper using of intuitionistic fuzzy small submodules we get some results about this kind of fuzzy submodules. First we give some preliminary properties of intuitionistic fuzzy submodules. Then we attempt to investigate various properties of intuitionistic fuzzy small submodules. A necessary and sufficient condition for intuitionistic fuzzy small submodules is established. We investigate the nature of intuitionistic fuzzy small submodules under direct sum. Also we study on relation between intuitionistic fuzzy small submodules and level subsets of them, and get some interesting results in this sense.
Deskripsi Alternatif :The concept of an intuitionistic fuzzy set, which is a generalisation of fuzzy set, was introduced by K. T. Atanassov in 1986. In this paper using of intuitionistic fuzzy small submodules we get some results about this kind of fuzzy submodules. First we give some preliminary properties of intuitionistic fuzzy submodules. Then we attempt to investigate various properties of intuitionistic fuzzy small submodules. A necessary and sufficient condition for intuitionistic fuzzy small submodules is established. We investigate the nature of intuitionistic fuzzy small submodules under direct sum. Also we study on relation between intuitionistic fuzzy small submodules and level subsets of them, and get some interesting results in this sense.
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