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Supervaluationism and rough set theory
2012 IEEE International Conference on Granular Computing, 2012In this paper, I want to propose a revised version to supervaluationists' strategy on vagueness by rough set theory. The main reason to my work is due to the very intuition about all the boundaries of vague terms must be obviously vague, i.e. not only the boundary of positive and negative extension but also the boundaries of positive or negative ...
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Rough set theory applied to lattice theory
Information Sciences, 2012In this paper, we intend to study a connection between rough sets and lattice theory. We introduce the concepts of upper and lower rough ideals (filters) in a lattice. Then, we offer some of their properties with regard to prime ideals (filters), the set of all fixed points, compact elements, and homomorphisms.
Ali Akbar Estaji +2 more
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2008
Rough set theory (RST), since its introduction in Pawlak (1982), continues to develop as an effective tool in classification problems and decision support. In the majority of applications using RST based methodologies, there is the construction of ‘if .. then ..’ decision rules that are used to describe the results from an analysis.
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Rough set theory (RST), since its introduction in Pawlak (1982), continues to develop as an effective tool in classification problems and decision support. In the majority of applications using RST based methodologies, there is the construction of ‘if .. then ..’ decision rules that are used to describe the results from an analysis.
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Sampling aspects of rough set theory
Computational Management Science, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A new rough set theory: rough soft hemirings
Journal of Intelligent & Fuzzy Systems, 2015The aim of this paper is to introduce the notion of a rough soft hemiring, which is an extended notion of a rough hemiring and a soft hemiring. We study roughness in soft hemirings with respect to Pawlak approximation spaces. Some new rough soft operations are explored. In particular, lower and upper rough soft hemirings and (k-idealistic, h-idealistic,
Jianming Zhan, Bijan Davvaz, Qi Liu
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Appraising property with rough set theory
Journal of Property Investment & Finance, 2002This research is focused on a methodology created to analyse imprecise information, that is full of attributes defined as “rough set”. The methodology will be then applied to the real estate appraisal question, representing a further possible method of evaluation.
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Research on rough set theory extension and rough reasoning
2004 IEEE International Conference on Systems, Man and Cybernetics (IEEE Cat. No.04CH37583), 2005Rough set theory is a new soft computing tool to deal with vagueness and uncertainty. It has attracted much attention of many researchers and practitioners all over the world, and has been applied to many fields successfully such as knowledge discovery, decision support, pattern recognition, machine learning, etc. Though the rough set theory is founded
Yunliang Jiang +3 more
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Generalizing Rough Set Theory Through Dominance-Based Rough Set Approach
2005Ordinal properties of data related to preferences have been taken into account in the Dominance-based Rough Set Approach (DRSA). We show that DRSA is also relevant in case where preferences are not considered but a kind of monotonicity relating attribute values is meaningful for the analysis of data at hand.
GRECO, Salvatore +2 more
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Definability in Logic and Rough Set Theory [PDF]
, 2008 Rough set theory is an effective tool for data mining. According to the theory, a concept is definable if it can be written as a Boolean combination of equivalence classes induced from classification attributes. On the other hand, definability in logic has been explicated by Beth's theorem.
Tuan-Fang Fan +2 more
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2007
This work focuses on lattice-theoretical foundations of rough set theory. It consist of the following sections: 1: Introduction 2: Basic Notions and Notation, 3: Orders and Lattices, 4: Distributive, Boolean, and Stone Lattices, 5: Closure Systems and Topologies, 6: Fixpoints and Closure Operators on Ordered Sets, 7: Galois Connections and Their ...
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This work focuses on lattice-theoretical foundations of rough set theory. It consist of the following sections: 1: Introduction 2: Basic Notions and Notation, 3: Orders and Lattices, 4: Distributive, Boolean, and Stone Lattices, 5: Closure Systems and Topologies, 6: Fixpoints and Closure Operators on Ordered Sets, 7: Galois Connections and Their ...
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