1. Whys and Hows of the Parameterized Interval Analyses: A Guide for the Perplexed.
- Author
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Elishakoff, I.
- Subjects
INTERVAL analysis ,PARAMETERIZATION ,PROBLEM solving ,ENGINEERS ,INFORMATION theory ,NUMERICAL analysis - Abstract
Novel elements of the parameterized interval analysis developed in [1, 2] are emphasized in this response, to Professor E.D. Popova, or possibly to others who may be perplexed by the parameterized interval analysis. It is also shown that the overwhelming majority of comments by Popova [3] are based on a misreading of our paper [1]. Partial responsibility for this misreading can be attributed to the fact that explanations provided in [1] were laconic. These could have been more extensive in view of the novelty of our approach [1, 2]. It is our duty, therefore, to reiterate, in this response, the whys and hows of parameterization of intervals, introduced in [1] to incorporate the possibly available information on dependencies between various intervals describing the problem at hand. This possibility appears to have been discarded by the standard interval analysis, which may, as a result, lead to overdesign, leading to the possible divorce of engineers from the otherwise beautiful interval analysis. [ABSTRACT FROM AUTHOR]
- Published
- 2013
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