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» A Comparative Study of Fuzzy Sets and Rough Sets
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ACM
1995
15 years 1 months ago
Rough Sets
We study properties of rough sets, that is, approximations to sets of records in a database or, more formally, to subsets of the universe of an information system. A rough set is a...
Zdzislaw Pawlak
ISCI
2008
181views more  ISCI 2008»
14 years 9 months ago
Attribute reduction in decision-theoretic rough set models
Rough set theory can be applied to rule induction. There are two different types of classification rules, positive and boundary rules, leading to different decisions and consequen...
Yiyu Yao, Yan Zhao
JDCTA
2010
228views more  JDCTA 2010»
14 years 4 months ago
Research and Progress of Cluster Algorithms based on Granular Computing
Granular Computing (GrC), a knowledge-oriented computing which covers the theory of fuzzy information granularity, rough set theory, the theory of quotient space and interval comp...
Shifei Ding, Li Xu, Hong Zhu, Liwen Zhang
EUSFLAT
2009
186views Fuzzy Logic» more  EUSFLAT 2009»
14 years 7 months ago
Analysis of Similarity Measures for Atanassov's Intuitionistic Fuzzy Sets
We consider some existing similarity measures for Atanassov's intuitionistic fuzzy sets (A-IFSs, for short). We show that neither similarity measures treating an A-IF as a sim...
Eulalia Szmidt, Janusz Kacprzyk
82
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EUSFLAT
2003
14 years 11 months ago
On the preservation of monotonicity by extended mappings
Images of fuzzy relations provide powerful access to fuzzifications of properties of and/or relationships between fuzzy sets. As an important example, images of fuzzy orderings c...
Ulrich Bodenhofer