Mean Values of Fuzzy Numbers and the Measurement of Fuzziness by Evaluation Measures

Abstract

In this paper, we discuss an evaluation method of fuzzy numbers as mean values and measurement of fuzziness defined by fuzzy measures, and the presented method is applicable to fuzzy numbers and fuzzy stochastic process defined by fuzzy numbers/fuzzy random variables in decision making. We compare the measurement of fuzziness and the variance as a factor to measure uncertainty. Formulae are also given to apply the results to triangle-type fuzzy numbers and trapezoidal-type fuzzy numbers