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Technical Reports from 2018

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Italian Folk Multiplication Algorithm Is Indeed Better: It Is More Parallelizable, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich

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Reverse Mathematics Is Computable for Interval Computations, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich

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How to Monitor Possible Side Effects of Enhanced Oil Recovery Process, Jose Manuel Dominguez Esquivel, Solymar Ayala Cortez, Aaron A. Velasco, and Vladik Kreinovich

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Why Skew Normal: A Simple Pedagogical Explanation, José Guadalupe Flores Muñiz, Vyacheslav Kalashnikov, Nataliya Kalashnykova, Olga Kosheleva, and Vladik Kreinovich

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How Many Monte-Carlo Simulations Are Needed to Adequately Process Interval Uncertainty: An Explanation of the Smart Electric Grid-Related Simulation Results, Afshin Gholamy and Vladik Kreinovich

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Why 70/30 or 80/20 Relation Between Training and Testing Sets: A Pedagogical Explanation, Afshin Gholamy, Vladik Kreinovich, and Olga Kosheleva

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Virtual Agent Interaction Framework (VAIF): A Tool for Rapid Development of Social Agents, Ivan Gris and David G. Novick

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Optimization of Quadratic Forms and t-norm Forms on Interval Domain and Computational Complexity, Milan Hladik, Michal Čerńy, and Vladik Kreinovich

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When Is Data Processing Under Interval and Fuzzy Uncertainty Feasible: What If Few Inputs Interact? Does Feasibility Depend on How We Describe Interaction?, Milan Hladík, Michal Čerńy, and Vladik Kreinovich

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How to Efficiently Compute Ranges Over a Difference Between Boxes, With Applications to Underwater Localization, Luc Jaulin, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich

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How Intelligence Community Interprets Imprecise (Fuzzy) Words, and How to Justify This Empirical-Based Interpretation, Olga Kosheleva and Vladik Kreinovich

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How to Explain the Results of the Richard Thaler's 1997 Financial Times Contest, Olga Kosheleva and Vladik Kreinovich

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Measures of Specificity Used in the Principle of Justifiable Granularity: A Theoretical Explanation of Empirically Optimal Selections, Olga Kosheleva and Vladik Kreinovich

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Why Superforecasters Change Their Estimates on Average by 3.5%: A Possible Theoretical Explanation, Olga Kosheleva and Vladik Kreinovich

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Type-2 Fuzzy Analysis Explains Ubiquity of Triangular and Trapezoid Membership Functions, Olga Kosheleva, Vladik Kreinovich, and Shahnaz Shahbazova

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From Traditional Neural Networks to Deep Learning: Towards Mathematical Foundations of Empirical Successes, Vladik Kreinovich

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Lotfi Zadeh: a Pioneer in AI, a Pioneer in Statistical Analysis, a Pioneer in Foundations of Mathematics, and a True Citizen of the World, Vladik Kreinovich

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Which t-Norm Is Most Appropriate for Bellman-Zadeh Optimization, Vladik Kreinovich, Olga Kosheleva, and Shahnaz Shahbazova

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Can Mass Be Negative?, Vladik Kreinovich and Sergei Soloviev

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How to Detect Crisp Sets Based on Subsethood Ordering of Normalized Fuzzy Sets? How to Detect Type-1 Sets Based on Subsethood Ordering of Normalized Interval-Valued Fuzzy Sets?, Christian Servin, Olga Kosheleva, and Vladik Kreinovich

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Fuzzy Analogues of Sets and Functions Can Be Uniquely Determined from the Corresponding Ordered Category: A Theorem, Christian Servin, Gerardo Muela, and Vladik Kreinovich

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A New Kalman Filter Model for Nonlinear Systems Based on Ellipsoidal Bounding, Ligang Sun, Hamza Alkhatib, Boris Kargoll, Vladik Kreinovich, and Ingo Neumann

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Why Learning Has Aha-Moments and Why We Should Also Reward Effort, Not Just Results, Gerargo Uranga, Vladik Kreinovich, and Olga Kosheleva

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Why Burgers Equation: Symmetry-Based Approach, Leobardo Valera, Martine Ceberio, and Vladik Kreinovich

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How to Explain Empirical Distribution of Software Defects by Severity, Francisco Zapata, Olga Kosheleva, and Vladik Kreinovich