Abstract

It is frequently discussed in economic, social, managemental, or diagnostic problems to classify objects which are vaguely specified in a fuzzy environment. Objects in a real world have vague attributes. This paper deals with a method of discrimination between fuzzy groups with vaguely defined multi-aspect. Fuzzy distance is defined by using a fuzzy scatter matrix which consists of fuzzy covariances between aspects in fuzzy groups. The fuzzy distance plays an important and central role in this paper. This concept enables us to measure the distance of a sample from each fuzzy group in consideration of scatterness of samples in each fuzzy group.

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