The general interference model in the fuzzy reliability analysis of systems

The interference model of the fuzzy reliability analysis has been the focus of some researches. In this paper, the author proposed a general interference model for fuzzy reliability analysis, which based on the safety condition, not use the stress-strength interference model. Therefore, the proposed model can apply for every reliability problems of the systems. | Vietnam Journal of Mechanics, VAST, Vol. 27, No. 3 (2005) , pp. 186 - 192 THE GENERAL INTERFERENCE MODEL IN THE FUZZY RELIABILITY ANALYSIS OF -SYSTEMS NGUYEN VAN PHO Hanoi University of Civil Engineering Abstract. The interference model of the fuzzy reliability analysis has been the focus of some researches. In this paper, the author proposed a general interference model for fuzzy reliability analysis, which based on the safety condition, not use the stress-strength interference model. Therefore, the proposed model can apply for every reliability problems of the systems. 1. INTRODUCTION In 1965, Zadeh proposed the theory of fuzzy sets [1] . Since the publication of the seminal work "Fuzzy sets" by Zadeh, this subject has been the focus of many research fields, which have contributed to various practical applications [2, 3, 4, . ]. The fuzzy sets theory in reliability analysis is studied [5, 6, 7, . ]. Reliability analysis of mechanical structure require some information on the probability distribution of stress in the structure and material strength. We know it is difficult to obtain the distribution laws of the stress and strength for complicated mechanical structure. There are many methods, such as Monte-Carlo method [8], FEM method [9] and other [10] to solve this problem. It has been approved that the distribution of material strength generally follows a normal distribution [11], which can be obtained from a enough series of testing data. · The stress in the structure is related to several other variables, such as structure sizes, material properties and external loads, and in most cases, it is difficult to express them in a mathematical formula, and its related variables are not random variables, but fuzzy variables or other uncertain variables. In this paper, the author proposed a general interference model of fuzzy reliability analysis of mechanical system. The general interference model based on the safety condition or performance function in order

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