Super Rough Semantics

Article type: Research Article

Authors: Mani, A.

Affiliations: Member, Calcutta Mathematical Society 9B, Jatin Bagchi Road, Kolkata(Calcutta)-700029, India. a_mani_sc_gs@vsnl.net

Note: [] Address for correspondence: Member, Calcutta Mathematical Society, 9B, Jatin Bagchi Road, Kolkata(Calcutta)-700029, India

Abstract: 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.

Keywords: Rough Algebra, Super Rough Algebra, Rough Logics, Coapproximability, Algebraic Semantics of Rough Logics, Ill-Posed Rough Set Theory

Journal: Fundamenta Informaticae, vol. 65, no. 3, pp. 249-261, 2005