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General Characterization of Classifications in Rough Set on Two Universal Sets

General Characterization of Classifications in Rough Set on Two Universal Sets

Tapan Kumar Das, Debi Prasanna Acharjya, Manas Ranjan Patra
Copyright: © 2015 |Volume: 28 |Issue: 2 |Pages: 19
ISSN: 1040-1628|EISSN: 1533-7979|EISBN13: 9781466675544|DOI: 10.4018/IRMJ.2015040101
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MLA

Das, Tapan Kumar, et al. "General Characterization of Classifications in Rough Set on Two Universal Sets." IRMJ vol.28, no.2 2015: pp.1-19. http://doi.org/10.4018/IRMJ.2015040101

APA

Das, T. K., Acharjya, D. P., & Patra, M. R. (2015). General Characterization of Classifications in Rough Set on Two Universal Sets. Information Resources Management Journal (IRMJ), 28(2), 1-19. http://doi.org/10.4018/IRMJ.2015040101

Chicago

Das, Tapan Kumar, Debi Prasanna Acharjya, and Manas Ranjan Patra. "General Characterization of Classifications in Rough Set on Two Universal Sets," Information Resources Management Journal (IRMJ) 28, no.2: 1-19. http://doi.org/10.4018/IRMJ.2015040101

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Abstract

Rough set was conceptualized to deal with indiscernibility or imperfect knowledge about elements in numerous real life scenarios. But it was noticed later that an information system may establish relation with more than one universe. So, rough set on one universal set was further extended to rough set on two universal sets. This paper presents eleven possible types of classifications on the whole and it is proved that out of those eleven types only five types which were hypothesized by are elementary and the rest six types can be reduced to the elementary five types either directly or transitively. This paper also analyzes to predict the all possible combinations of types of elements for a classification of 2 and 3 numbers of elements. It is established that, the number of classification with 2 elements is 3 whereas with 3 elements is 8 instead of 64.

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