![]() ![]() Shary, Identification of Outliers in the Maximum Mat-Ching Method in the Analysis of Interval Data, Proc. Petersburg Institute of Informatics and Automation of the Russian Academy of Sciences), 1999. Nesterov, Tween Arithmetics and Their Application in Methods and Algorithms of Two-Sided Interval Estimation, Diss. Communications in Computer and Information Science, M. Hu, On Statistics, Probability, and Entropy of Interval-Valued Datasets, Information Processing and Management of Uncertainty in Knowledge-Based Systems. Sharyj, Processing and Analysis of Data with Interval Uncertainty, 2022, available at: Processing.pdf (accessed: ).Ĭ. Ellerby, Towards Handling Uncertainty-at-Source in AI - A Review and Next Steps for Interval Regression, arXiv:2104.07245. on Fuzzy Systems ( FUZZ-IEEE 2017), 2017. Shary, Numerical Computation of Formal Solutions to Interval Linear Systems of Equations, arXiv:1903.10272v1. van Hentenryck, Standardized Notation in Interval Analysis, Comput. Botanicheskogo sada-instituta DVO RAS, No. Semkin, On the Relation Between Mean Values of Two Measures of Inclusion and Measures of Similarity, Byull. Two areas of application of both symmetric and asymmetric measures are presented - computational processes (for characterizing iterative computational processes) and data analysis (for characterizing measurement workspaces and classifying data by a set of features).ī. A practical example of finding the information set of an interval problem using a new measure is given. The connections of the proposed measure with the interval mode and the results of calculations with tweens are considered. Various definitions of the Jaccard measure are given, both symmetric and nonsymmetric with respect to the operands. Various variants of interval relations are described in detail - from their coincidence to incompatible cases. The Jaccard measure is generalized to the case of data with interval uncertainty and samples of interval data. For interval quantities, the necessary concepts and definitions of operations are introduced, in particular, generalizations of the concepts of intersection and union of sets. Information about interval analysis, classical and complete (Kaucher) interval arithmetic is presented. It is proposed to use the Jaccard measure (index), which is widely used when comparing sets in various problem areas, as a measure (functional) of the consistency of interval values and their samples. Data samples with interval uncertainty are analyzed. ![]()
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