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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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I-Fuzzy equivalence relations and I-fuzzy partitions

Information Sciences, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jayaram, Balasubramaniam, Mesiar, Radko
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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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Fuzzy δ–ε-partitions

Information Sciences, 2003
In this paper, the concept of a fuzzy δ-e-partitions of any fuzzy subset of the universe Ω is introduced as a generalization of that of a classical partition. The approach is based on four observations: the first one is that for any two members of a classical partition, their intersection is the empty set if they are not equal; the second one is that ...
Susana Montes, Inés Couso, Pedro Gil
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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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