An algorithmic determination of optimal measure from data and some applications

Abstract: In [8], by determining fuzzy measure from the data, the authors did not mention under what circumstances this can be done. Following the idea of [8] we propose by means of optimal measure theory an alternative way which is to determine optimal measure from the data. We also show that this determination can always be done.

Keywords: optimal measure, optimal average

Classification (MSC2000): 58C05; 26E60, 26E35, 34E18

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