Simulation and Limiting Behavior of Random Fuzzy Intervals

Fuzzy random variables combine the modeling of imprecision (fuzzy component) and unpredictability (caused by random effects) into a single entity.Statistical samples of such units are widely used; therefore, their direct, numerically efficient generation is necessary. Typically, these samples consist of triangular or trapezoidal fuzzy numbers.This paper describes some theoretical results and simulation algorithms for another useful family of fuzzy numbers, called the LR fuzzy numbers with interval cores. Starting from a simulation perspective on the piecewise linear LR fuzzy numbers with the interval cores, we consider their limiting behavior, which leads to some of their interesting properties and provides a numerically efficient algorithm for simulating a sample consisting of such fuzzy values.As a result, we obtain a new perspective on a way of introducing the random fuzzy intervals.

کلیدواژه ها:

Fuzzy number ، Fuzzy random variable ، piecewise linear fuzzy number ، simulations ، fuzzy sample