Rough subpolygroups in a factor polygroup

Article type: Research Article

Authors: Davvaz, B.

Affiliations: Department of Mathematics, Yazd University, Yazd, Iran. E-mail: [email protected]

Abstract: The main aim of this work is to construct a general scheme that would permit to "insert" the notion of roughness into polygroups. We consider the factor polygroup P/N and interprete the lower and upper approximations as subsets of the factor polygroup P/N. Then we introduce the concept of factor rough subpolygroups. Also, using the concept of fuzzy set, we introduce and discuss the concept of fuzzy rough polygroup and then we obtain the relation between fuzzy rough subpolygroups and level rough sets. This relation is expressed in terms of a necessary and sufficient condition.

Keywords: Fuzzy set, rough set, lower approximation, upper approximation, polygroup, subpolygeoup, normal subpolygroup, factor polygroup

Journal: Journal of Intelligent & Fuzzy Systems, vol. 17, no. 6, pp. 613-621, 2006