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» Extension Principles for Fuzzy Set Theory
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EUSFLAT
2003
100views Fuzzy Logic» more  EUSFLAT 2003»
14 years 11 months ago
A fuzzy analysis of a Richter theorem in fuzzy consumers
In this paper we prove that a transitive fuzzy relation R on a set X can be extended to a total transitive fuzzy relation Q on X preserving the irreflexivity of R. This generaliz...
Irina Georgescu
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
TNN
1998
146views more  TNN 1998»
14 years 9 months ago
Fuzzy lattice neural network (FLNN): a hybrid model for learning
— This paper proposes two hierarchical schemes for learning, one for clustering and the other for classification problems. Both schemes can be implemented on a fuzzy lattice neu...
Vassilios Petridis, Vassilis G. Kaburlasos
APAL
2005
83views more  APAL 2005»
14 years 9 months ago
Reflections on reflections in explicit mathematics
We give a broad discussion of reflection principles in explicit mathematics, thereby addressing various kinds of universe existence principles. The proof-theoretic strength of the...
Gerhard Jäger, Thomas Strahm
AI
2008
Springer
14 years 9 months ago
On the notion of concept I
It is well known that classical set theory is not expressive enough to adequately model categorization and prototype theory. Recent work on compositionality and concept determinat...
Michael Freund