Approximations in <Emphasis Type="Italic">n</Emphasis>-ary algebraic systems |
| |
Authors: | B Davvaz |
| |
Affiliation: | (1) Department of Mathematics, Yazd University, Yazd, Iran |
| |
Abstract: | Algebraic systems have many applications in the theory of sequential machines, formal languages, computer arithmetics, design
of fast adders and error-correcting codes. The theory of rough sets has emerged as another major mathematical approach for
managing uncertainty that arises from inexact, noisy, or incomplete information. This paper is devoted to the discussion of
the relationship between algebraic systems, rough sets and fuzzy rough set models. We shall restrict ourselves to algebraic
systems with one n-ary operation and we investigate some properties of approximations of n-ary semigroups. We introduce the notion of rough system in an n-ary semigroup. Fuzzy sets, a generalization of classical sets, are considered as mathematical tools to model the vagueness
present in rough systems. |
| |
Keywords: | Rough set Lower approximation Upper approximation Algebraic system n-ary semigroup Fuzzy set |
本文献已被 SpringerLink 等数据库收录! |
|