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Correlation of fuzzy sets

โœ Scribed by Ding-An Chiang; Nancy P. Lin

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
315 KB
Volume
102
Category
Article
ISSN
0165-0114

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โœฆ Synopsis

When we deal with crisp data, it is very common to find the correlation between variables. Here, we propose a method to calculate the correlation coefficient for fuzzy data, but rather than defining the correlation on the intuitionistic fuzzy sets like most of the previous works, we adopt the method from mathematical statistics. The value computed from our formula not only provides us the strength of the relationship of fuzzy sets, but also shows that the fuzzy sets are positively or negatively correlated.

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Intuitionistic fuzzy sets are a generalization of the ordinary fuzzy sets in which we have both a membership function and a nonmembership function v. In this article we consider the problem of defining a correlation coefficient between two intuitionistic fuzzy sets. We show that by interpreting an i