Results 221 to 230 of about 5,171 (264)

Modelling fuzzy partitions with fuzzy answer sets

2017 IEEE Symposium Series on Computational Intelligence (SSCI), 2017
This paper introduces a representation of fuzzy partitions in terms of fuzzy logic programming. This representation models relationships among the different classes that define the fuzzy partition. There are essentially two such relationships. The first one is that classes are disjoint and, therefore, contradictory each other; on the other hand, the ...
Nicolás Madrid, Manuel Ojeda-Aciego
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Spaces with fuzzy partitions and fuzzy transform

Soft Computing, 2017
\par The paper considers a categorical approach to the setting of \(F\)-transforms of \textit{I. Perfilieva} [Fuzzy Sets Syst. 157, No. 8, 993--1023 (2006; Zbl 1092.41022)] from approximation theory. The author builds his machinery over an integral commutative quantale \(Q=(Q,\bigvee, \otimes, 1_Q)\) (see, e.g., [\textit{P.
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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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Relational partitioning of fuzzy rules

Fuzzy Sets and Systems, 1996
Abstract We discuss the process of fuzzy systems model building and describe the role played by the partitioning of the input space. We also introduce and investigate the idea of using fuzzy relations in the antecedent parts of the rules and show how to reason with these types of rules.
Ronald R. Yager, Dimitar P. Filev
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On local entropy of fuzzy partitions

Fuzzy Sets and Systems, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehdi Rahimi, Abdolhamid Riazi
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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.
Balasubramaniam Jayaram, Radko Mesiar
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Metric properties of fuzzy partitions

Fuzzy Sets and Systems, 1996
Fuzzy partitions can be represented as weighted sums of classical partitions. \textit{J. C. Bezdek} and \textit{J. D. Harris} [J. Math. Anal. Appl. 67, 490-512 (1979; Zbl 0411.68056)] described a ``minimax'' decomposition of any fuzzy partition into such a weighted sum claiming to get shortest sums in this way. The author disproves this claim.
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Degree of Similarity in Fuzzy Partition

2002
In this paper, we discuss preciseness of data in terms of obtaining degree of similarity in which fuzzy set can be used as an alternative to represent imprecise data. Degree of similarity between two imprecise data represented in two fuzzy sets is approximately determined by using fuzzy conditional probability relation.
Rolly Intan, Masao Mukaidono
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Fuzzy \(\delta\)-\(\varepsilon\)-partitions.

Inf. Sci., 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Susana Montes, Inés Couso, Pedro Gil
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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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