Kodo Keiryogaku (The Japanese Journal of Behaviormetrics)
Online ISSN : 1880-4705
Print ISSN : 0385-5481
ISSN-L : 0385-5481
FUZZY QUANTIFICATION THEORY TYPE II
Junzo WATADAHideo TANAKKiyoji ASAI
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1982 Volume 9 Issue 2 Pages 24-32

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Abstract

This paper deals with analyzing fuzzy data according to fuzzy groups. Fuzzy data are characterized qualitatively in the form of fuzzy sets and fuzzy groups are defined by several fuzzy sets. In order to quantify such fuzzy data, a fuzzy mean, a fuzzy variance and a fuzzy variance ratio are defined. Using these definitions, we extend Hayashi's Quantification Theory Type II to the Fuzzy Quantification Theory Type II which can handle fuzzy data and fuzzy groups. Since the qualitative data might be fuzzy in nature, this fuzzy theory is useful for analyzing fuzzy data. A simple example is described to illustrate the Fuzzy Quantification Theory Type II.

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© The Behaviormetric Society of Japan
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