Lattice for Rough Intervals
This paper deals with the rough interval approach onlattice theory. In the interval-set model, a pair of sets is referredto as the lower and upper bounds which define a family of sets. Asignificant difference between these concepts lies in the definitionand interpretation of their extended set-theor...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Tokat Gaziosmanpasa University
2013-02-01
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| Series: | Journal of New Results in Science |
| Online Access: | https://dergipark.org.tr/en/download/article-file/105183 |
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| Summary: | This paper deals with the rough interval approach onlattice theory. In the interval-set model, a pair of sets is referredto as the lower and upper bounds which define a family of sets. Asignificant difference between these concepts lies in the definitionand interpretation of their extended set-theoretic operators. Theoperators in the rough-set model are not truth-functional, whilethe operators in the interval-set model are truth-functional. Wehave showed that the collection of all rough intervals in an approximation space forms a distributive lattice. Some important resultsare also proved. Finally, an example is considered to illustratedthe paper |
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| ISSN: | 1304-7981 |