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Technical Reports from 2016

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Why 3-D Space? Why 10-D Space? A Possible Simple Geometric Explanation, Vladik Kreinovich

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Z-Numbers and Type-2 Fuzzy Sets: A Representation Result, Vladik Kreinovich and Rafik Aliev

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The Range of a Continuous Functional Under Set-Valued Uncertainty Is Always an Interval, Vladik Kreinovich and Olga Kosheleva

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Which Interval Is the Closest to a Given Set?, Vladik Kreinovich and Olga Kosheleva

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For Multi-Interval-Valued Fuzzy Sets, Centroid Defuzzification Is Equivalent to Defuzzifying Its Interval Hull: A Theorem, Vladik Kreinovich and Songsak Sriboonchitta

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How to Estimate Amount of Useful Information, in Particular Under Imprecise Probability, Luc Longpre, Olga Kosheleva, and Vladik Kreinovich

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How to Describe Measurement Uncertainty and Uncertainty of Expert Estimates?, Nicolas Madrid, Irina Perfilieva, and Vladik Kreinovich

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Scaling-Invariant Description of Dependence Between Fuzzy Variables: Towards a Fuzzy Version of Copulas, Gerardo Muela, Vladik Kreinovich, and Christian Servin

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Membership Functions Representing a Number vs. Representing a Set: Proof of Unique Reconstruction, Hung T. Nguyen, Vladik Kreinovich, and Olga Kosheleva

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How Resilient Modulus of a Pavement Depends on Moisture Level: Towards a Theoretical Justification of a Practically Important Empirical Formula, Pedro Barragan Olague, Olga Kosheleva, and Vladik Kreinovich

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Why Half-Frequency in Intelligent Compaction, Pedro Barragan Olague and Vladik Kreinovich

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Why Superellipsoids: A Probability-Based Explanation, Pedro Barragan Olague and Vladik Kreinovich

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How to Estimate Resilient Modulus for Unbound Aggregate Materials: A Theoretical Explanation of an Empirical Formula, Pedro Barragan Olague, Soheil Nazarian, Vladik Kreinovich, and Afshin Gholamy

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Use of Machine Learning to Analyze and -- Hopefully -- Predict Volcano Activity, Justin Parra, Olac Fuentes, Elizabeth Y. Anthony, and Vladik Kreinovich

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Adjoint Fuzzy Partition and Generalized Sampling Theorem, Irina Perfilieva, Michal Holčapek, and Vladik Kreinovich

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Limitations of Realistic Monte-Carlo Techniques, Andrzej Pownuk, Olga Kosheleva, and Vladik Kreinovich

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Which Point From an Interval Should We Choose?, Andrzej Pownuk and Vladik Kreinovich

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Why Compaction Meter Value (CMV) Is a Good Measure of Pavement Stiffness: Towards a Possible Theoretical Explanation, Andrzej Pownuk, Pedro Barragan Olague, and Vladik Kreinovich

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Preliminary Investigation of Mobile System Features Potentially Relevant to HPC, David Pruitt and Eric Freudenthal

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How to Determine the Stiffness of the Pavement's Upper Layer (Base) Based on the Overall Stiffness and the Stiffness of the Lower Layer (Subgrade), Christian Servin and Vladik Kreinovich

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Intuitionistic Fuzzy Logic Is Not Always Equivalent to Interval-Valued One, Christian Servin and Vladik Kreinovich

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Which Robust Versions of Sample Variance and Sample Covariance Are Most Appropriate for Econometrics: Symmetry-Based Analysis, Songsak Sriboonchitta, Ildar Batyrshin, and Vladik Kreinovich

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Need for Most Accurate Discrete Approximations Explains Heavy-Tailed Distributions, Songsak Sriboonchitta, Vladik Kreinovich, Olga Kosheleva, and Hung T. Nguyen

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Robustness as a Criterion for Selecting a Probability Distribution Under Uncertainty, Songsak Sriboonchitta, Hung T. Nguyen, Vladik Kreinovich, and Olga Kosheleva

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Model-Order Reduction Using Interval Constraint Solving Techniques, Leobardo Valera and Martine Ceberio