Subjective Entropy of Probabilistic Sets and Fuzzy Cluster Analysis

Kaoru Hirota; Witold Pedrycz

doi:10.1109/TSMC.1986.289297

Subjective Entropy of Probabilistic Sets and Fuzzy Cluster Analysis

Kaoru Hirota, Witold Pedrycz

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

The results of different fuzzy clustering algorithms are dealt with collectively in a formal framework of probabilistic set theory in order to interpret the structure of data. Special attention is paid to calculation of entropy of the fuzzy clusters detected by various grouping methods. Two numerical examples illustrate applicability of the proposed way of cluster evaluation.

Original language	English
Pages (from-to)	173-179
Number of pages	7
Journal	IEEE Transactions on Systems, Man and Cybernetics
Volume	16
Issue number	1
DOIs	https://doi.org/10.1109/TSMC.1986.289297
Publication status	Published - 1986
Externally published	Yes

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title = "Subjective Entropy of Probabilistic Sets and Fuzzy Cluster Analysis",

abstract = "The results of different fuzzy clustering algorithms are dealt with collectively in a formal framework of probabilistic set theory in order to interpret the structure of data. Special attention is paid to calculation of entropy of the fuzzy clusters detected by various grouping methods. Two numerical examples illustrate applicability of the proposed way of cluster evaluation.",

author = "Kaoru Hirota and Witold Pedrycz",

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AB - The results of different fuzzy clustering algorithms are dealt with collectively in a formal framework of probabilistic set theory in order to interpret the structure of data. Special attention is paid to calculation of entropy of the fuzzy clusters detected by various grouping methods. Two numerical examples illustrate applicability of the proposed way of cluster evaluation.

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DO - 10.1109/TSMC.1986.289297

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JO - IEEE Transactions on Systems, Man and Cybernetics

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Subjective Entropy of Probabilistic Sets and Fuzzy Cluster Analysis

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