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Information Sciences, 2007
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Andrzej Skowron, Zdzisław Pawlak
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Andrzej Skowron, Zdzisław Pawlak
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ROUGH FUZZY SETS AND FUZZY ROUGH SETS*
International Journal of General Systems, 1990The notion of a rough set introduced by Pawlak has often been compared to that of a fuzzy set, sometimes with a view to prove that one is more general, or, more useful than the other. In this paper we argue that both notions aim to different purposes.
Henri Prade
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Information Sciences, 2011
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Young Bae Jun, Feng Feng
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Young Bae Jun, Feng Feng
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Communications of the ACM, 1995
Rough set theory, introduced by Zdzislaw Pawlak in the early 1980s [11, 12], is a new mathematical tool to deal with vagueness and uncertainty. This approach seems to be of fundamental importance to artificial intelligence (AI) and cognitive sciences, especially in the areas of machine learning, knowledge acquisition, decision analysis, knowledge ...
Zdzislaw Pawlak +3 more
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Rough set theory, introduced by Zdzislaw Pawlak in the early 1980s [11, 12], is a new mathematical tool to deal with vagueness and uncertainty. This approach seems to be of fundamental importance to artificial intelligence (AI) and cognitive sciences, especially in the areas of machine learning, knowledge acquisition, decision analysis, knowledge ...
Zdzislaw Pawlak +3 more
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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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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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Soft Computing, 2016
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Rajab Ali Borzooei +2 more
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Rajab Ali Borzooei +2 more
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ROUGH SETS, ROUGH RELATIONS AND ROUGH FUNCTIONS
Fundamenta Informaticae, 1996The 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 ...
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