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A definition of interval order relation reflecting decision makers' preference is proposed for comparing interval numbers.
The improvement is gained from the definition of interval violation vector and the robustness-based preferential guidelines.
On the other hand, these definitions were motivated by our attempt to arrive at a definition of interval random variables and investigate the corresponding statistical properties.
F is called measurable if the inverse image of each open set is a measurable set: if O ⊂ R k is open, then F − 1 ( O ) ∈ A. We are now in a position to introduce the definition of interval random variables and interval stochastic processes.
In our study, we extended the definition of interval cancer until the 30th month, because each screening round can last up to 6 months.
The definition of interval cancers in the NHSBSP (NHS Breast Screening Radiologists Quality Assurance Committee, 2005) is consistent with that in the European guidelines (Perry et al, 2006); breast cancers diagnosed in the interval between scheduled screening episodes in women screened and given a 'normal' screening result that is, the previous screening episode was negative.
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The axiomatic definition of intervals in fuzzy graphs are used to define intervals in different fuzzy graph structures like fuzzy trees and complete fuzzy graphs.
Based on the gH-differentiability, we give the definition of interval-valued invex functions as follows.
The definition of interval-valued invexity in this paper is more general than that of weak invexity given in [20] (see Theorem 4 and Example 4).
Since the definition of interval-valued invex functions defined in [20] considered the end-point functions, we call them weakly invex functions in this paper.
Hence, predictive models should be assessed through: the analysis of the experimental error of the data, the evaluation of the models AD as well as the definition of intervals of confidence for the predictions.
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