Generalization of discriminant analysis for possibility distributions

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This paper aims to generalize the method of possibility discriminant analysis proposed by Tanaka et al. (1992) using t-norms. The two classes discussed in the possibility discriminant analysis by Tanaka are generalized into m classes and, moreover, the minimum operation is generalized into t-norm operations. The ordering of a set of the functions calculated from possibility distributions for given classes determines the class of an observation. In particular, the first two functions in the ordering are essential for the classification.

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