Mathematics – Logic
Scientific paper
2009-09-27
Mathematics
Logic
8 Pages, Brief Version of forthcoming paper. My conference presentation at "Internat. Conf. on Rough Sets, Fuzzy Sets and Soft
Scientific paper
A dialectical rough set theory focussed on the relation between roughly equivalent objects and classical objects was introduced in \cite{AM699} by the present author. The focus of our investigation is on elucidating the minimal conditions on the nature of granularity, underlying semantic domain and nature of the general rough set theories (RST) involved for possible extension of the semantics to more general RST on a paradigm. On this basis we also formulate a program in dialectical rough set theory. The dialectical approach provides better semantics in many difficult cases and helps in formalising a wide variety of concepts and notions that remain untamed at meta levels in the usual approaches. This is a brief version of a more detailed forthcoming paper by the present author.
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