Search results for "Rough sets"

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Algebraic Structures of Rough Sets in Representative Approximation Spaces

2003

Abstract In this paper a generalized notion of an approximation space is considered. By an approximation space we mean an ordered pair (U, C ), where U is a finite nonempty set and C is a covering of U. According to connections between rough sets and concepts we define two types of approximation operations. Hence we obtain two families of rough sets. We show that these families form lattices in special types of representative approximation spaces. The operations on rough sets defined in the above lattices are analogous to classical operations on sets.

Discrete mathematicsGeneral Computer ScienceAlgebraic structureRough setsSpace (mathematics)representative approximation spaceTheoretical Computer ScienceSet (abstract data type)Ordered pairalgebra of rough sets.Rough setapproximation operationsMathematicsComputer Science(all)Electronic Notes in Theoretical Computer Science
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Thriving Rough Sets: 10th Anniversary - Honoring Professor Zdzisław Pawlak's Life and Legacy & 35 Years of Rough Sets

2017

This special book is dedicated to the memory of Professor Zdzisław Pawlak, the father of rough set theory, in order to commemorate both the 10th anniversary of his passing and 35 years of rough set theory. The book consists of 20 chapters distributed into four sections, which focus in turn on a historical review of Professor Zdzisław Pawlak and rough set theory; a review of the theory of rough sets; the state of the art of rough set theory; and major developments in rough set based data mining approaches. Apart from Professor Pawlak’s contributions to rough set theory, other areas he was interested in are also included. Moreover, recent theoretical studies and advances in applications are a…

intelligent systemsfuzzy setspawlak rough setscrip setscomputational intelligencerough membershiprough set theory
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