Uncertainty analysis based on Zadeh’s extension principle

Subject Areas : journal of Artificial Intelligence in Electrical Engineering

Ghiyam Eslami ¹ (Department of Mechanical Engineering. Ahar Branch, Islamic Azad University, Ahar, Iran)

Received: 2022-08-10 Accepted : 2022-11-21 Published : 2021-12-01

Keywords: Uncertainty, Sensitivity, Fuzzy mathematics, Zadeh’s extension principle, Monte Carlo method,

Abstract :

In this paper, it is discussed how Zadeh’s extension principle (ZEP) can be used for uncertainty analysis of a system. For this end, basic concepts of the fuzzy mathematics including fuzzy sets, fuzzy numbers and ZEP are briefly presented. A comparison made among the results obtained by the sensitivity analysis, ZEP and Monte Carlo (MC) methods. It is shown that ZEP gives the same outputs as the MC method and is in full agreement with the concept of “uncertainty”. The sensitivity analysis result is not the same as the uncertainty analysis and, often results in smaller range for the output parameters.