Fuzzy-algorithmic reliability analysis of complex systems

Abstract

A new approach to system reliability analysis is proposed. This approach combines the descriptive tools of Glushkov's algorithmic algebra and the quantitative tools of L. Zadeh's fuzzy logic. The rules for transition from operations in an algorithmic algebra to operations with membership functions of fuzzy sets are obtained. These rules allow evaluating the correctness distribution of the algorithm execution depending on the values of the measurable parameters.

Reliability Evaluation Based on a Fuzzy Expert System: Centrifugal Pump Application

“…In the area of reliability prediction, fuzzy logic is a complicated approach, but offers major advantages regarding reliability assessment. Due to the lack of precision of the operating data in industrial equipment provided to the user who studied reliability assessment problems using expert systems, the fuzzy expert system used arranged mechanisms to deal with uncertain information [23, 24,25,26,27,28]. In this work, the views of several experts can be reconciled within a model of the systems based on fuzzy rules by using comparison techniques to provide reliable decisions.…”

Reliability Modeling and Optimization Using Fuzzy Logic and Chaos Theory

“…According to this principle introduced in [12,13], there is not a crisp boundary between "correct" (1) and "incorrect" (0) results of the functioning of a system and its elements. For the formal evaluation of the correctness level it is used the multidimensional (by the number of variables) membership function µ 1 (x 1 , x 2 , .…”

“…We consider the simple system with redundancy which is modeled by fuzzy algorithmic approach proposed in [12,13] and logistic function (2).…”

“…The first monographs containing the approaches to the construction of fuzzy reliability theory are [9][10][11]. In the works [12,13] there is a fuzzy algorithmic approach to reliability modeling based on the algebra of regular algorithms [14] and expert assessments of the performance correctness of operators and conditions by means of membership functions [3]. The problem of reliability optimization of the control resources based on fuzzy algorithmic approach is solved in [15].…”

“…In this paper we use the fuzzy algorithmic approach to parametric reliability modeling proposed in [12,13], and the simple generator of chaotic oscillations of variables in the form of logistic function [19]. The further description is organized in the following way.…”