Motivated by intuitionistic fuzzy sets and fzzy linguistic approach, this article proposes the concept of linguistic intuitionistic fuzzy numbers (LIFNs) where membership and and nonmembership are represented as linguistic terms. In order to process the multiple attribute decision making (MADM) with LIFNs, we introduce the linguistic score index and linguistic accuracy index of the LIFN. Simult...

It is neither feasible nor desirable to consider in detail all of the small-scale fluctuations that occur in the atmosphere. For this reason, we introduce averaging or smoothing operators, and attempt to describe only the average state of the atmosphere, following the approach of “Reynolds Averaging.” This leads, however, to additional terms in the governing equations for the averaged quantitie...

A new approach is suggested to study transient and stable regimes in overloading retrial queueing systems. This approach is based on limit theorems of averaging principle and diffusion approximation types for so-called switching processes. Two models of retrial queueing systems of the types h?/G/i/w.r (multidimensional Poisson input flow, one server with general service times, retrial system) a...

of "Kernel Averaging Estimators" Bandwidth or smoothness parameter selection has always been a key issue for kernel regression analysis despite the fact that kernel regression has rapidly become a regular tool for explorative empirical research. The issue of bandwidth selection is a fundamental model selection problem stemming from the uncertainty about the smoothness of the regression. In this...

This study discusses some variants of Ordered WeightedAveraging (OWA) operators and related information aggregation methods. Indetail, we define the Extended Ordered Weighted Sum (EOWS) operator and theExtended Ordered Weighted Averaging (EOWA) operator, which are applied inscientometrics evaluation where the preference is over finitely manyrepresentative works. As...

in the prediction of quantiles of daily Standard & Poor’s 500 (S&P 500) returns we consider how to use high-frequency 5-minute data. We examine methods that incorporate the high frequency information either indirectly, through combining forecasts (using forecasts generated from returns sampled at different intraday interval), or directly, through combining high frequency information into one mo...

The road safety performance of countries is conducted by combining seven main risk indicators into one index using a particular weighting and aggregation method. Weights can be determined with respect to the assumed importance of the indicator, whereas aggregation operators can be used to stress better performances differently from worse performances irrespective of the indicator’s meaning. In ...

The conventional method of aggregating the satisfaction of transport projects with respect to multiple attributes is commonly some variant of Simple Additive Weighting (SAW), which involves the sum of products of standardized outcomes of projects with respect to attributes and attribute importance weights. It is suggested that alternative forms of aggregation might be more useful, in particular...

Averaging is one of the basic methods of statistical analysis of experimental data where the response of the system is periodic or quasi-periodic. As long as the noise are Gaussian, the standard averaging leads to good results and effective noise reduction. However, when the distortions have impulsive nature, then such an approach leads to a deterioration of the system. In this case the robust ...

The long-lasting controversy on the usefulness of cost-averaging as an investment strategy is revived by the increasingly more aggressive marketing for long term saving plans with new intensity. Albrecht et al. (2002) illustrated using a shortfall risk based approach that cost-averaging may be an efficient strategy compared to simple buy-and-hold-strategies. The contribution of this paper is a ...