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Monte Carlo analysis has been an accepted method for circuit tolerance analysis, but the heavy computational complexity has always prevented its applications. Based on random set theory, this paper presents a simple and flexible tolerance analysis method to estimate circuit yield. It is the alternative to Monte Carlo analysis, but reduces the number of calculations drastically.
Natural-language information is often mathematically expressed in terms of fuzzy sets. With the random set theory as a bridge, this kind of information can be transformed into fuzzy evidence in Dempster-Shafer (DS) theory. Then Dempsterpsilas combination rule or other combination rules of evidence can be used perfectly for fusing natural-language and other information. However, this traditional transformation...
The paper incorporates fuzzy logic methodologies into multisensor-multitarget system under the framework of random set theory, and presents the logical unified description of the unambiguous information (data) and a type of the uncertain information (ambiguous evidence) so as to construct qualitative measurement models for data and ambiguous evidence fusion. The procedure is as follows: firstly, strong...
Although a connection between multitarget tracking and random set theory was recognized during the course of development of the indirect-estimation tracking algorithms, it was only recently that such a connection started to be discussed based on random set theory. In this paper, the limitation of the traditional multitarget tracking framework was discussed, firstly, which separates tracking system...
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