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Technical Reports from 2016

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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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How to Make Machine Learning Robust Against Adversarial Inputs, Gerardo Muela, Christian Servin, and Vladik Kreinovich

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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 RSA? A Pedagogical Comment, Pedro Barragan Olague, Olga Kosheleva, and Vladik Kreinovich

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Why Growth of Cancerous Tumors Is Gompertzian: A Symmetry-Based Explanation, Pedro Barragan Olague 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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Towards Decision Making under Interval Uncertainty, Andrzej Pownuk and Vladik Kreinovich

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

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Fuzzy Data Processing Beyond Min t-Norm, Andrzej Pownuk, Vladik Kreinovich, and Songsak Sriboonchitta

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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

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Preliminaries to a Study of Stance in News Broadcasts, Nigel Ward

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Avoiding Fake Boundaries in Set Interval Computing, Anthony Welte, Luc Jaulin, Martine Ceberio, and Vladik Kreinovich

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Computability of the Avoidance Set and of the Set-Valued Identification Problem, Anthony Welte, Luc Jaulin, Martine Ceberio, and Vladik Kreinovich

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Robust Data Processing in the Presence of Uncertainty and Outliers: Case of Localization Problems, Anthony Welte, Luc Jaulin, Martine Ceberio, and Vladik Kreinovich

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How to Make Testing and Grading Non-Confrontational: Towards Applying Loving Kindness to Testing and Grading, Francisco Zapata and Olga Kosheleva

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Grading that Takes into Account the Need to Learn from Mistakes, Francisco Zapata, Olga Kosheleva, and Vladik Kreinovich

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It Is Advantageous to Make a Syllabus As Precise As Possible: Decision-Theoretic Analysis, Francisco Zapata, Olga Kosheleva, and Vladik Kreinovich

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Why Dependence of Productivity on Group Size Is Log-Normal, Francisco Zapata, Olga Kosheleva, and Vladik Kreinovich

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Why Pairwise Testing Works So Well: A Possible Theoretical Explanation of an Empirical Phenomenon, Francisco Zapata and Vladik Kreinovich

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Bayesian Approach to Intelligent Control and Its Relation to Fuzzy Control, Kongliang Zhu, Vladik Kreinovich, and Olga Kosheleva

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How to Make Plausibility-Based Forecasting More Accurate, Kongliang Zhu, Nantiworn Thianpaen, and Vladik Kreinovich

Technical Reports from 2015

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How to Divide a Territory: an Argument in Favor of Private Property, Mahdokhat Afravi and Vladik Kreinovich

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Positive Consequences of Negative Attitude: Game-Theoretic Analysis, Mahdokhat Afravi and Vladik Kreinovich

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How to Gauge Disruptions Caused by Garbage Collection: Towards an Efficient Algorithm, Gabriel Arellano, Edward Hudgins, David Pruitt, Adrian Veliz, Eric Freudenthal, and Vladik Kreinovich

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Fuzzy Xor Classes from Quantum Computing, Anderson Ávila, Murilo Schmalfuss, Renata Reiser, and Vladik Kreinovich

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Why Deep Neural Networks: A Possible Theoretical Explanation, Chitta Baral, Olac Fuentes, and Vladik Kreinovich

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A Systematic Derivation of Loop Specifications Using Patterns, Aditi Barua and Yoonsik Cheon

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Towards Selecting the Best Abstraction for a Patrolling Game, Anjon Basak, Chris Kiekintveld, and Vladik Kreinovich

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Constraint Approach to Multi-Objective Optimization, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich

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Optimizing pred(25) Is NP-Hard, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich

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What is the Right Context for an Engineering Problem: Finding Such a Context is NP-Hard, Martine Ceberio, Vladik Kreinovich, Hung T. Nguyen, Songsak Sriboonchitta, and Rujira Ouncharoen

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Model Reduction: Why It Is Possible And How It Can Potentially Help To Control Swarms Of Unmanned Arial Vehicles (UAVs), Martine Ceberio, Leobardo Valera, Olga Kosheleva, and Rodrigo A. Romero