Eventological Theory Of Random Fuzzy Events

On new Notion of Eventological Means of Fuzzy Events

ESTIMATORS BASED ON FUZZY RANDOM VARIABLES AND THEIR MATHEMATICAL PROPERTIES

In statistical inference, the point estimation problem is very crucial and has a wide range of applications. When, we deal with some concepts such as random variables, the parameters of interest and estimates may be reported/observed as imprecise. Therefore, the theory of fuzzy sets plays an important role in formulating such situations. In this paper, we rst recall the crisp uniformly minimum ...

Reliability analysis of rubble-mound breakwaters against the failure due to the armor layer instability based on the fuzzy random variables theory: A case study of Anzali Port breakwater

Breakwaters are among the most frequently-used coastal protective structures and their stability is vital to avoid turbulence at the ports. The main purpose of the present research is to use the theory of fuzzy random variables and the second-order reliability method (SORM) to study the reliability of a rubble-mound breakwater against the failure due to the armor layer instability. The limit-st...

Fuzzy Reliability Optimization Models for Redundant Systems

In this paper, a special class of redundancy optimization problem with fuzzy random variables is presented. In this model, fuzzy random lifetimes are considered as basic parameters and the Er-expected of system lifetime is used as a major type of system performance. Then a redundancy optimization problem is formulated as a binary integer programming model. Furthermore, illustrative numerical ex...

Fuzzy random chance-constrained programming

By fuzzy random programming, we mean the optimization theory dealing with fuzzy random decision problems. This paper presents a new concept of chance of fuzzy random events and then constructs a general framework of fuzzy random chance-constrained programming (CCP). We also design a spectrum of fuzzy random simulations for computing uncertain functions arising in the area of fuzzy random progra...