{ "id": "1102.2558", "version": "v1", "published": "2011-02-13T04:26:49.000Z", "updated": "2011-02-13T04:26:49.000Z", "title": "Dialectics of Counting and Measures of Rough Theories", "authors": [ "A. Mani" ], "comment": "17 Pages; NCETSC'2011 held during 2-3 Feb'2011 at NW College and organised by Indian Society for Rough Sets, Univ of Pune and Nowrosjee Wadia college", "journal": "IEEE Proceedings of NCETSC'2011 held during 2-3 Feb'2011", "categories": [ "math.LO", "cs.LO" ], "abstract": "New concepts of rough natural number systems, recently introduced by the present author, are used to improve most rough set-theoretical measures in general Rough Set theory (\\textsf{RST}) and measures of mutual consistency of multiple models of knowledge. In this research paper, the explicit dependence on the axiomatic theory of granules of \\cite{AM99} is reduced and more results on the measures and representation of the numbers are proved.", "revisions": [ { "version": "v1", "updated": "2011-02-13T04:26:49.000Z" } ], "analyses": { "subjects": [ "03E70", "03A99", "03E99", "03G25", "94D99" ], "keywords": [ "rough theories", "rough natural number systems", "dialectics", "general rough set theory", "research paper" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1102.2558M" } } }