Advances in the Dempster-Shafer theory of evidence
Rough sets through algebraic logic
Fundamenta Informaticae - Special issue: to the memory of Prof. Helena Rasiowa
Constructive and algebraic methods of the theory of rough sets
Information Sciences: an International Journal
Rough equalities from posets and rough difference orders
Fundamenta Informaticae
Di-algebraic semantics of logics
Fundamenta Informaticae
Esoteric rough set theory: algebraic semantics of a generalized VPRS and VPFRS
Transactions on rough sets VIII
Choice inclusive general rough semantics
Information Sciences: an International Journal
Dialectics of counting and the mathematics of vagueness
Transactions on Rough Sets XV
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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.