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» Concept lattices and order in fuzzy logic
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RSCTC
2004
Springer
200views Fuzzy Logic» more  RSCTC 2004»
13 years 11 months ago
A Comparative Study of Formal Concept Analysis and Rough Set Theory in Data Analysis
The theory of rough sets and formal concept analysis are compared in a common framework based on formal contexts. Different concept lattices can be constructed. Formal concept ana...
Yiyu Yao
IFSA
2003
Springer
89views Fuzzy Logic» more  IFSA 2003»
13 years 11 months ago
Lattice Fuzzy Signal Operators and Generalized Image Gradients
In this paper we use concepts from the lattice-based theory of morphological operators and fuzzy sets to develop generalized lattice image operators that are nonlinear convolutions...
Petros Maragos, Vassilis Tzouvaras, Giorgos B. Sta...
ISCI
2010
100views more  ISCI 2010»
13 years 4 months ago
Filters of residuated lattices and triangle algebras
An important concept in the theory of residuated lattices and other algebraic structures used for formal fuzzy logic, is that of a filter. Filters can be used, amongst others, to...
Bart Van Gasse, Glad Deschrijver, Chris Cornelis, ...
EUSFLAT
2007
140views Fuzzy Logic» more  EUSFLAT 2007»
13 years 7 months ago
A Fuzzy Formal Logic for Interval-valued Residuated Lattices
Fuzzy formal logics were introduced in order to handle graded truth values instead of only ‘true’ and ‘false’. A wide range of such logics were introduced successfully, li...
Bart Van Gasse, Chris Cornelis, Glad Deschrijver, ...
FUIN
2006
103views more  FUIN 2006»
13 years 6 months ago
A Categorical View on Algebraic Lattices in Formal Concept Analysis
Formal concept analysis has grown from a new branch of the mathematical field of lattice theory to a widely recognized tool in Computer Science and elsewhere. In order to fully be...
Pascal Hitzler, Markus Krötzsch, Guo-Qiang Zh...