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Fuzzy, I-fuzzy, and H-fuzzy partitions to describe clusters

2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2016
In this paper we discuss how three types of fuzzy partitions can be used to describe the results of three types of cluster structures. Standard fuzzy partitions are suitable for centroid based clusters, and I-fuzzy partitions for clusters represented by segments or lines (e.g., c-varieties). In this paper, we introduce hesitant fuzzy partitions.
Vicenç Torra   +2 more
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Fuzzy controller architecture using fuzzy partition membership functions

KES'2000. Fourth International Conference on Knowledge-Based Intelligent Engineering Systems and Allied Technologies. Proceedings (Cat. No.00TH8516), 2002
A novel current-mode CMOS circuit is used to implement fuzzy partition membership functions. The architecture, circuit and cadence spectra simulations are presented.
M. Conti   +4 more
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Bottom-up fuzzy partitioning in fuzzy decision trees

PeachFuzz 2000. 19th International Conference of the North American Fuzzy Information Processing Society - NAFIPS (Cat. No.00TH8500), 2002
FID is a publicly available fuzzy decision tree software package for classifying fuzzy data. This paper describes a new bottom-up domain partitioning technique, which has just been implemented to complement the previously available top-down technique.
M. Fajfer, C.Z. Janikow
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Discovering fuzzy association rules using fuzzy partition methods

Knowledge-Based Systems, 2003
Fuzzy association rules described by the natural language are well suited for the thinking of human subjects and will help to increase the flexibility for supporting users in making decisions or designing the fuzzy systems. In this paper, a new algorithm named fuzzy grids based rules mining algorithm (FGBRMA) is proposed to generate fuzzy association ...
Yi-Chung Hu   +2 more
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Fuzzy reasoning using fuzzy partition and its application

1998 Conference of the North American Fuzzy Information Processing Society - NAFIPS (Cat. No.98TH8353), 2002
We introduce in a natural way a new method of fuzzy reasoning by defining the fuzzy partitioned space and some operations. Our proposal method holds the property of Modus Ponens. In addition, for the numerical value inputs, it is equivalent to the Product-Sum-Gravity method and holds the property of monotoneity that the Mamdani method does not.
Y. Okuda, H. Yamashita, J. Inaida
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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 Sets in Clustering: On Fuzzy Partitions

2019
Clustering is often classified as an unsupervised machine learning approach. It has been extensively used for data analysis. It permits us to extract some structure from a data set. Clustering can be applied to all types of data.
Vicenç Torra   +3 more
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Fuzzy partitions of unity

2004
In General Topology, there exist useful theorems on the existence of partitions of unity for paracompact regular spaces (and also for normal spaces). In this paper, we define the notion of fuzzy partition of unity and we obtain some results about this concept.
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Fuzzy partition and fuzzy clustering

1986
Summary: In this paper necessary and sufficient conditions in which a fuzzy m- partition would make a fuzzy m-clustering of a sample set X were discussed. Further, on the basis of analyzing the clustering situation of a fuzzy partition we propose indexes for fuzzy clustering validity. Finally, fuzzy sets describing cluster were estimated.
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Linear intensification of probabilistic fuzzy partitions

Fuzzy Sets and Systems, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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