Sentence examples for fuzzy variance from inspiring English sources

The antithetical objective functions of the problems are defined within the framework of the credibility theory: the first one is the fuzzy expected value of the adopted performance-based structural index, the second one is its fuzzy variance.

For this aim, fuzzy normal distribution with crisp SLs is first used to calculate the fuzzy percentages of conforming (FCIs) and nonconforming (FNCIs) items by taking into account fuzzy process mean, ˜μ and fuzzy variance, ˜σ2 which are obtained by using fuzzy extension principles.

Among applications of the decomposition of a fuzzy interval using a symmetric fuzzy number and a midpoint function is the study of the fuzzy variance of a fuzzy interval [42, 43].

For interval type-2 fuzzy sets (IT2 FSs), centroid, cardinality, fuzziness, variance and skewness are all measures of uncertainties.

In fuzzy environment, variance is carried on as the definition of risk.

As an extension of the fuzzy mean-variance model, a mean-variance-skewness model is presented and the corresponding variations are also considered.

Let ξ be a fuzzy rough variable whose variance (V[xi]) exists.

This paper focuses on the variance of fuzzy variables with regular credibility distributions.

Section 3 presents the calculation process of the accurate variance for fuzzy variables.

Thus, in this paper, we studied the variance of fuzzy variables based upon the credibility measure for better applications.

Although the variance of fuzzy variables with respect to the possibility measure and its properties have been studied before, the variance of fuzzy variables on the basis of the credibility measure has not been formally investigated yet due to the intricate process of calculation.