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ROUGH SETS, ROUGH RELATIONS AND ROUGH FUNCTIONS
Fundamenta Informaticae, 1996 The paper explores the concepts of approximate relations and functions in the framework of the theory of rough sets. The difficulties with the application of the idea of rough relation to general rough function definition are discussed. The definition of rough function for the domain of real numbers is introduced and its properties are investigated in ...
Zdzislaw Pawlak
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Roughness Bounds in Set-oriented Rough Set Operations
2006 IEEE International Conference on Fuzzy Systems, 2006Roughness is an important indicator for the uncertainty of a rough set. This paper analyses the roughness bounds for set-oriented rough set operations. A bound of the roughness of the union between two set-oriented rough sets could be determined by the roughness of the two operand set-oriented sets.
Yang, Yingjie, John, Robert, 1955-
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A kind of new rough set: Rough soft sets and rough soft rings
Journal of Intelligent & Fuzzy Systems, 2015The aim of this paper is to lay a foundation for providing a rough soft tool in considering many problems that contain uncertainties. We put forward the concepts of rough soft rings and rough idealistic soft rings. Some basic operations on rough soft rings are discussed. Some good examples are explored.
Jianming Zhan 0001, Bijan Davvaz
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Roughness bounds in rough set operations
Information Sciences, 2006Roughness indicates the significance of the uncertain elements of a rough set. This paper presents some bounds for rough set operations. The bounds obtained for the union as well as for the difference of rough sets depend on their operand's roughnesses.
Yingjie Yang, Robert I. John
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International Journal of Computer & Information Sciences, 1982
Summary: We investigate in this paper approximate operations on sets, approximate equality of sets, and approximate inclusion of sets. The presented approach may be considered as an alternative to fuzzy set theory and tolerance theory. Some applications are outlined.
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Summary: We investigate in this paper approximate operations on sets, approximate equality of sets, and approximate inclusion of sets. The presented approach may be considered as an alternative to fuzzy set theory and tolerance theory. Some applications are outlined.
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2007
The subject-matter of the consideration touches the problem of vagueness. The notion of the rough set, originated by Zdzislaw Pawlak, was constructed under the influence of vague information and methods of shaping systems of notions leading to conceptualization and representation of vague knowledge, so also systems of their scopes as some vague sets ...
Zbigniew Bonikowski +1 more
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The subject-matter of the consideration touches the problem of vagueness. The notion of the rough set, originated by Zdzislaw Pawlak, was constructed under the influence of vague information and methods of shaping systems of notions leading to conceptualization and representation of vague knowledge, so also systems of their scopes as some vague sets ...
Zbigniew Bonikowski +1 more
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Soft Computing, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rajab Ali Borzooei +2 more
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Rajab Ali Borzooei +2 more
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Information Sciences, 1996
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Mohua Banerjee, Sankar K. Pal
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohua Banerjee, Sankar K. Pal
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Using rough sets for rough classification
Proceedings of 7th International Conference and Workshop on Database and Expert Systems Applications: DEXA 96, 2002Rough sets theory is emerging as a powerful tool for knowledge discovery in databases. The author introduce a rough sets based method for learning classification rules. The author's method will not necessarily derive all the consistent classification rules from a database, nor will the rules derived be totally consistent with the database.
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Fuzzy Sets and Systems, 2000
In the paper the authors define a measure of fuzziness in a rough set and investigate its properties. Every approximation space \((U, R)\), where \(R\) is an equivalence relation on \(U\), and a subset \(X\) of \(U\) determine a rough set \(R(X)\). Let \(\operatorname {card}(Y)\) denote the cardinality of \(Y\). With \((U, R)\) and \(X\) we associate a
Kankana Chakrabarty +2 more
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In the paper the authors define a measure of fuzziness in a rough set and investigate its properties. Every approximation space \((U, R)\), where \(R\) is an equivalence relation on \(U\), and a subset \(X\) of \(U\) determine a rough set \(R(X)\). Let \(\operatorname {card}(Y)\) denote the cardinality of \(Y\). With \((U, R)\) and \(X\) we associate a
Kankana Chakrabarty +2 more
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