NDLI: Bounds of fuzzy reliability in the case of fuzzy strength and fuzzy stress

Content Provider	IEEE Xplore Digital Library
Author	Hui-Xin Guo Guan-Yu Hu Li-Zhi Cheng Xiao-Bin Pang
Copyright Year	2010
Description	Author affiliation: Department of Mechanical and Electrical Engineering, Changsha University, 410003, China (Hui-Xin Guo; Guan-Yu Hu; Li-Zhi Cheng; Xiao-Bin Pang)
Abstract	In the case of fuzzy strength and fuzzy stress, it is difficult to obtain the accuracy fuzzy reliability since the membership function of fuzzy safety event is not known. A method for calculating the bounds of fuzzy reliability is proposed to determine this problem. Firstly, fuzzy strength and fuzzy stress are remodeled into random sets. Then, the limit state function of a structure with fuzzy strength and fuzzy stress is mapped into a random set by using the extension principle of random set. Finally, two limit cumulative distribution functions of fuzzy safety event are calculated and are used as the upper and lower bounds of fuzzy reliability. An example is given and it shows that the proposed method is effective when the theory of fuzzy probability proposed by Zadeh can not be directly used to calculate the fuzzy reliability with fuzzy strength and fuzzy stress.
Starting Page	79
Ending Page	83
File Size	416167
Page Count	5
File Format	PDF
ISBN	9781424480258
e-ISBN	9781424480265
DOI	10.1109/ICACIA.2010.5709855
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-12-17
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Uncertainty random sets theory Reliability theory fuzzy strength Set theory Probability distribution Safety Fuzzy reliability Stress fuzzy stress
Content Type	Text
Resource Type	Article

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