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Uncertainty measure on fuzzy partitions

Fuzzy Sets and Systems, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bertoluzza, Carlo   +2 more
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Fuzzy partition and fuzzy rule base

Information Sciences, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, Ming   +2 more
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Fuzzy congruences and compatible fuzzy partitions

Fuzzy Sets and Systems, 1989
A natural concept of universal fuzzy algebra is introduced and it is proved that for a fuzzy congruence or a fuzzy partition to be compatible with a fuzzy universal algebra it is necessary and sufficient that level- wise compatibility is to be achieved.
Filep, László, Maurer, Gyula I.
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Construction of Fuzzy Classes by Fuzzy Partitioning

2001
In this paper, we propose a new algorithm to infer automatically a fuzzy partition for the universe of a set of fuzzy values, when each of these values is associated with a class. This algorithm can be used in a fuzzy decision tree system to extract knowledge from a database and to construct a set of fuzzy rules.
Marsala, Christophe   +1 more
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Fuzzy Partition Models for Fitting a Set of Partitions

Psychometrika, 2001
Methodology is described for fitting a fuzzy consensus partition to a set of partitions of the same set of objects. Three models defining median partitions are described: two of them are obtained from a least-squares fit of a set of membership functions, and the third (proposed by Pittau and Vichi) is acquired from a least-squares fit of a set of joint
GORDON A., VICHI, Maurizio
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Fuzzy Partitioning Methods

2001
In this chapter, we propose two new algorithms to infer automatically a fuzzy partition for the universe of a set of values, when each of these values is associated with a class. These algorithms are based on the use of mathematical morphology operators that are used to filter the given set of values and highlight kernel for fuzzy subsets.
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Interval-valued fuzzy hypergraph and fuzzy partition

IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 1997
This paper extends the work of H. Lee-Kwang and L.M. Lee (1995) to present the concept of the interval-valued fuzzy hypergraph. In the interval-valued fuzzy hypergraph, the concepts of the dual interval-valued fuzzy hypergraph, the crisp-valued alpha-cut hypergraph, and the interval-valued [alpha(1),alpha(2 )]-cut at beta level hypergraph are developed,
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Applying I-Fuzzy Partitions to Represent Sets of Fuzzy Partitions

2010
I-fuzzy partitions have been defined to represent uncertainty on the clustering process. They are based on interval type-2 fuzzy sets, also known as Atanassov's intuitionistic fuzzy sets.
Torra Vicenç, Min Ji-Hee
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Coarsening of fuzzy partitions

2015 IEEE 13th International Symposium on Intelligent Systems and Informatics (SISY), 2015
A vague partition U of a finite universal set X into c clusters, where each cluster is described by a fuzzy set on X, is considered. The concept of p-level sets [3] of fuzzy sets is extended to p-level matrices of fuzzy partitions. A method of gradual coarsening of U based on a sequence of p-level matrices derived from the membership grades of clusters
Slavka Bodjanova, Martin Kalina
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Fuzzy partitions and transformations

Proceedings of 1994 IEEE 3rd International Fuzzy Systems Conference, 2002
This paper is devoted to an interpretation of fuzzy sets on the basis of indistinguishability. Here we restrict to indistinguishability induced by tolerance bounds /spl epsiv/ that lead to identifying numbers whose difference is less than /spl epsiv/. We admit the modification of the ordinary distance by scaling functions.
F. Klawonn, R. Kruse
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