Author(s)

Hongjie Li ¹

Affiliation(s)

¹ School of Mathematics and Statistics, Zhoukou Normal University, 466001, China

Corresponding Author

Hongjie Li

ABSTRACT

using fuzzy points as a tool, this paper applies the concept of rough set to the theory of fuzzy semi-groups, gives the definition of rough direct product through a congruence relation on fuzzy semi-groups, discusses some properties of rough direct product under fuzzy congruence relation, and further supplements and perfects the rough set theory in fuzzy semi-groups

KEYWORDS

Fuzzy semi-group, Congruence relation, Coarse direct product

CITE THIS PAPER

Hongjie Li. Rough Direct Product of Fuzzy Semi-Groups. Applied & Educational Psychology (2021) 2: 84-87. DOI: http://dx.doi.org/10.23977/appep.2021.020116.

REFERENCES

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[3] Zhang Wenxiu, Wu Weizhi(2001). Rough set theory and method [M]. Beijing: Science Press.
[4] MingPP,MingLY(1980).Fuzzy topology1.Neighbourhood structures of a fuzzy point and Moore-Smith convergence[J].J.Math.Anal.Appl.,no.76,pp:571-579.
[5] Xiao guangcan(2005). Rough ideals in semi-groups [J]. Journal of University of Electronic Science and technology, no.34 (4),pp: 562-565.
[6] B.B. Makamba,V. Murali(2003).On an equivalence of fuzzy subgroups II[J].Fuzzy Sets & Systems,no.136(1),pp:93-104.
[7] Inheung Chon(2004).Fuzzy subgroups as products[J].Fuzzy Sets & Systems,no.141(3),pp:505-508.

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