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On the Interval Approximation of Fuzzy Numbers

2012
The problem of the interval approximation of fuzzy numbers is discussed. A new family of interval approximation operators based on different distances between fuzzy numbers are considered.
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Intervals' Numbers (INs) interpolation/extrapolation

2013 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2013
An Intervals' Number (IN) is a mathematical object known to represent either a probability distribution or a possibility distribution. The space of INs has been studied during the last years. After summarizing some instrumental mathematical results, this work demonstrates comparatively novel schemes for tunable fuzzy rule interpolation and ...
Vassilis G. Kaburlasos   +3 more
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The Elementary Theory of Interval Real Numbers

Mathematical Logic Quarterly, 1985
\textit{R. E. Moore} [Interval analysis (1966; Zbl 0176.133)] introduced a model \({\mathcal I}({\mathbb{R}})\) for the ''real numbers'' whose elements are compact real intervals. In this paper the first-order theory of \({\mathcal I}({\mathbb{R}})\) is axiomatized and Tarski's quantifier elimination method for real closed fields is modified to show ...
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Number of zeros in an interval

2002
Abstract Let f be a polynomial of degree n with real coefficients.
Q I Rahman, G Schmeisser
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Remarks on the interval number of graphs

Acta Cybern., 1995
Summary: The interval number of a graph \(G\) is the least natural number \(t\) such that \(G\) is the intersection graph of sets, each of which is the union of at most \(t\) intervals. Here, we propose a family of representations for the graph \(G\), which yield the well-known upper bound \(\lceil {1\over 2}(d+ 1)\rceil\), where \(d\) is the maximum ...
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Preference for mixed-interval versus fixed-interval schedules: number of component intervals.

Journal of the experimental analysis of behavior, 2010
Six pigeons were trained under a concurrent chains procedure so that preference for fixed-interval versus mixed-interval schedules with varying numbers of component intervals could be examined. The smallest and largest intervals in the terminal links were the same value as those used by Davison (1969).
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