ROUGH LATTICE OVER BOOLEAN ALGEBRA
− Rough Set Theory (RST) is a mathematical formalism for representing uncertainty thatcan be considered as an extension of the classical set theory. It has been used in many differentresearch areas, including those related to inductive machine learning and reduction of knowledge inknowledge-based sy...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Naim Çağman
2015-03-01
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| Series: | Journal of New Theory |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/407359 |
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| _version_ | 1849723872978403328 |
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| author | Dipankar Rana Sankar Kumar Roy |
| author_facet | Dipankar Rana Sankar Kumar Roy |
| author_sort | Dipankar Rana |
| collection | DOAJ |
| description | − Rough Set Theory (RST) is a mathematical formalism for representing uncertainty thatcan be considered as an extension of the classical set theory. It has been used in many differentresearch areas, including those related to inductive machine learning and reduction of knowledge inknowledge-based systems. Rough partial order relation and rough lattice are two important conceptsto introduce here based on RST. This paper provides some properties of rough relations, rough lattice,rough boolean lattice and established their validity. Some results are established to illustrate the paper |
| format | Article |
| id | doaj-art-5dfcef86e94d4b36b4efdab2fccfd9b2 |
| institution | DOAJ |
| issn | 2149-1402 |
| language | English |
| publishDate | 2015-03-01 |
| publisher | Naim Çağman |
| record_format | Article |
| series | Journal of New Theory |
| spelling | doaj-art-5dfcef86e94d4b36b4efdab2fccfd9b22025-08-20T03:10:54ZengNaim ÇağmanJournal of New Theory2149-14022015-03-01263682425ROUGH LATTICE OVER BOOLEAN ALGEBRADipankar RanaSankar Kumar Roy− Rough Set Theory (RST) is a mathematical formalism for representing uncertainty thatcan be considered as an extension of the classical set theory. It has been used in many differentresearch areas, including those related to inductive machine learning and reduction of knowledge inknowledge-based systems. Rough partial order relation and rough lattice are two important conceptsto introduce here based on RST. This paper provides some properties of rough relations, rough lattice,rough boolean lattice and established their validity. Some results are established to illustrate the paperhttps://dergipark.org.tr/en/download/article-file/407359− rough setrough approximationboolean algebrarough relationrough partialorderboolean lattice |
| spellingShingle | Dipankar Rana Sankar Kumar Roy ROUGH LATTICE OVER BOOLEAN ALGEBRA Journal of New Theory − rough set rough approximation boolean algebra rough relation rough partialorder boolean lattice |
| title | ROUGH LATTICE OVER BOOLEAN ALGEBRA |
| title_full | ROUGH LATTICE OVER BOOLEAN ALGEBRA |
| title_fullStr | ROUGH LATTICE OVER BOOLEAN ALGEBRA |
| title_full_unstemmed | ROUGH LATTICE OVER BOOLEAN ALGEBRA |
| title_short | ROUGH LATTICE OVER BOOLEAN ALGEBRA |
| title_sort | rough lattice over boolean algebra |
| topic | − rough set rough approximation boolean algebra rough relation rough partialorder boolean lattice |
| url | https://dergipark.org.tr/en/download/article-file/407359 |
| work_keys_str_mv | AT dipankarrana roughlatticeoverbooleanalgebra AT sankarkumarroy roughlatticeoverbooleanalgebra |