Super Rough Semantics

Details Super Rough Semantics Super Rough Semantics

2006-08-29

arxiv.org/abs/math/0608723v2

Fundamenta Informaticae 65, 2005, 249--261

Mathematics

Logic

13 pages

Scientific paper

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.

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