The fuzzy extension principle has been widely used to extend the domain of mathematical functions and relations from elements of a referential set to fuzzy subsets of that referential set. However, there are restrictions associated with the fuzzy extension principle. This paper addresses the question how restricted is the family of “fuzzy set to fuzzy set mappings” obtained by the fuzzy extensi...

Many real-world problems have been modeled via delay differential equations. The pantograph equation y?(t)=ay(t)+byct belongs to such a set of To the authors’ knowledge, there are no standard methods solve equations, i.e., unlike ordinary for which numerous and well-known. In this paper, Adomian decomposition method is suggested analyze utilizing two different canonical forms. A power series so...

The extended neoteric ranked set sampling (ENRSS) plan proposed by Taconeli and Cabral has proven to outperform many one stages two plans when estimating the mean variance for different populations. Therefore, in this paper, likelihood function based on ENRSS is used estimation of parameters inverted Nadarajah–Haghighi distribution. An extensive Monte Carlo simulation study conducted assess per...

In this paper, we consider the estimation of the unknown parameter of the scaled logistic distribution on the basis of record values. The maximum likelihood method does not provide an explicit estimator for the scale parameter. In this article, we present a simple method of deriving an explicit estimator by approximating the likelihood function. Bayes estimator is obtained using importance samp...