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Characterizing Rough Algebras

Umadevi D.

Fundamenta Informaticae

2017

Vol. 152, nr 2

167--183

In this paper, a characterization for the class of all rough algebras from the class of all Q-rough algebras is obtained.

Super Rough Semantics

Mani A.

Fundamenta Informaticae

2005

Vol. 65, nr 3

249--261

In this research a new algebraic semantics of rough set theory including additional meta aspects is proposed. The semantics is based on enhancing the standard rough set theory with notions of 'relative ability of subsets of approximation spaces to approximate'. The eventual algebraic semantics is developed via many deep results in convexity in ordered structures. A new variation of rough set theory, namely 'ill-posed rough set theory' in which it may suffice to know some of the approximations of sets, is eventually introduced.