Results 11 to 20 of about 3,548 (295)
Fuzzy Measures and the Entropy of Fuzzy Partitions
Journal of Mathematical Analysis and Applications, 1993 The author defines an entropy of a fuzzy partition and proves some basic properties of it. His aim is to get such properties which are very similar to analogous properties for the entropy of probability measures. Therefore, the consideration must be restricted to bounded-sum-union and bounded-product-intersection of fuzzy sets (only in this case a ...
Dumitrescu, D.
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Fuzzy Systems Based on Regular Vague Partitions and Their Approximation Properties [PDF]
Jisuanji kexueThis paper is devoted to investigating the approximation problem of fuzzy systems based on different fuzzy basis functions.Firstly,the multi-dimensional regular vague partitions are established based on one-dimensional regular vague partitions and ...
PENG Xiaoyu, PAN Xiaodong, SHEN Hanhan, HE Hongmei
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A Novel Method Based on the Fuzzy Entropy Measure to Optimize the Fuzziness in Trapezoidal Strong Fuzzy Partitions [PDF]
InformationAnalyzing the uncertainty of outcomes based on estimates of the data’s membership degrees to fuzzy sets is essential for making decisions. These fuzzy sets are often designated by experts as strong fuzzy partitions of the data domain with trapezoidal ...
Barbara Cardone, Ferdinando Di Martino
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Journal of Mathematical Analysis and Applications, 1986 This paper presents properties of classical or generalized partitions. First of all, fuzzy binary relations are defined on a finite set, satisfying an extension of the transitivity property and associated with a distance. Characterizations of such relations by matricial properties are given.
Bouchon, Bernadette, Cohen, Gérard
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Improved fuzzy partitions for fuzzy regression models
International Journal of Approximate Reasoning, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Frank Höppner, Frank Klawonn
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Axioms, 2020 Various types of topological and closure operators are significantly used in fuzzy theory and applications. Although they are different operators, in some cases it is possible to transform an operator of one type into another.
Jiří Močkoř
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Geometrical isomorphisms between categories of fuzzy coverings and fuzzy partitions
, 2023 Let $Covering$ be the category of the category of fuzzy coverings, and $Partition$, the category of fuzzy partitions. We geometrically construct an isomorphism of categories between $Partition$ and a full subcategory of $Covering$, which can be used to ...
Cimpoeas, Mircea, Neacsu, Adrian Gabriel
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Genetic lateral tuning for subgroup discovery with fuzzy rules using the algorithm NMEEF-SD [PDF]
International Journal of Computational Intelligence Systems, 2012 The main objective of subgroup discovery is to discover interesting and interpretable patterns with respect to a specific property. The use of evolutionary fuzzy systems provides good algorithms to approach this problem. In this sense, NMEEF-SD algorithm
C.J. Carmona +3 more
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Paradigm of tunable clustering using Binarization of Consensus Partition Matrices (Bi-CoPaM) for gene discovery [PDF]
, 2013 Clustering analysis has a growing role in the study of co-expressed genes for gene discovery. Conventional binary and fuzzy clustering do not embrace the biological reality that some genes may be irrelevant for a problem and not be assigned to a cluster,
Fa, Rui +21 more
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Logical Entropy of Dynamical Systems—A General Model
Mathematics, 2017 In the paper by Riečan and Markechová (Fuzzy Sets Syst. 96, 1998), some fuzzy modifications of Shannon’s and Kolmogorov-Sinai’s entropy were studied and the general scheme involving the presented models was introduced.
Abolfazl Ebrahimzadeh +2 more
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