In practical signal detection scenarios, parameters of a random process are often uncertain. In this paper, we model such uncertainties as fuzzy parameters of a stationary random process. A fuzzy Neyman-Pearson hypothesis test concept which accepts any number of fuzzy parameters is presented. A suitable decision rule is developed by applying theory for ordering fuzzy numbers, and stated in term...

This paper presents nonlinear model following control for a class of nonlinear systems using the fuzzy model-based control approach. We propose the construction method of augmented fuzzy control system for continuous-time nonlinear systems by differentiating the original nonlinear system. Moreover, we introduce the dynamic fuzzy controller which can make outputs of the nonlinear system converge...

This paper discusses multiproduct aggregate production planning (APP) decision making problems in fuzzy random environments. To maximize the chance of obtaining the profit more than the predetermined profit over the whole planning horizon, a fuzzy random APP model is established, in which the market demand, production cost, subcontracting cost, inventory carrying cost, backorder cost, product c...

This paper addresses uncertainty modelling of shorelines by comparing fuzzy sets and random sets. Both methods quantify extensional uncertainty of shorelines extracted from remote sensing images. Two datasets were tested: pan-sharpened Pleiades with four bands (Pleiades) and pan-sharpened Pleiades stacked with elevation data as the fifth band (Pleiades + DTM). Both fuzzy sets and random sets mo...

Fuzzy random variables possess several interpretations. Historically, they were proposed either as a tool for handling linguistic label information in statistics or to represent uncertainty about classical random variables. Accordingly, there are two different approaches to the definition of the variance of a fuzzy random variable. In the first one, the variance of the fuzzy random variable is ...

We present a solution procedure for a quadratic programming problem with some probabilistic constraints where the model parameters are either triangular fuzzy number or trapezoidal fuzzy number. Randomness and fuzziness are present in some real-life situations, so it makes perfect sense to address decision making problem by using some specified random variables and fuzzy numbers. In the present...

Despite the importance of drivers’ actions and behaviors, underlying factors to those have not received adequate attention. Understanding contributing various before crashes could help policy makers take appropriate tackle behaviors occur. One first steps be identify by using a reliable statistical technique. It is reasonable assume that drivers vary in their decision-making processes. Thus, th...

Modeling human ratings data subject to raters' decision uncertainty is an attractive problem in applied statistics. In view of the complex interplay between emotion and making rating processes, final choices seldom reflect true underlying responses. Rather, they are imprecisely observed sense that a non-random component uncertainty, namely uncertainty. The purpose this article illustrate statis...