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Technical Reports from 2014

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How to Estimate Forecasting Quality: A System-Motivated Derivation of Symmetric Mean Absolute Percentage Error (SMAPE) and Other Similar Characteristics, Vladik Kreinovich, Hung T. Nguyen, and Rujira Ouncharoen

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Log-Periodic Power Law as a Predictor of Catastrophic Events: A New Mathematical Justification, Vladik Kreinovich, Hung T. Nguyen, and Songsak Sriboonchitta

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Need for Data Processing Naturally Leads to Fuzzy Logic (and Neural Networks): Fuzzy Beyond Experts and Beyond Probabilities, Vladik Kreinovich, Hung T. Nguyen, and Songsak Sriboonchitta

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What If We Only Have Approximate Stochastic Dominance?, Vladik Kreinovich, Hung T. Nguyen, and Songsak Sriboonchitta

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A Simple Geometric Model Provides a Possible Quantitative Explanation of the Advantages of Immediate Feedback in Student Learning, Octavio Lerma, Olga Kosheleva, and Vladik Kreinovich

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Interleaving Enhances Learning: A Possible Geometric Explanation, Octavio Lerma, Olga Kosheleva, and Vladik Kreinovich

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Why Injecting Fine Dust into a Tornado Is More Promising Than Injecting Coarse Dust: A Geometric Explanation, Octavio Lerma, Olga Kosheleva, and Vladik Kreinovich

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Increased Climate Variability Is More Visible Than Global Warming: A General System-Theory Explanation, Octavio Lerma, Craig Tweedie, and Vladik Kreinovich

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Every SUE Function is a Ratio of Two Multi-Linear Functions, Joe Lorkowski, Olga Kosheleva, and Vladik Kreinovich

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How to Modify Grade Point Average (GPA) to Make It More Adequate, Joe Lorkowski, Olga Kosheleva, and Vladik Kreinovich

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When Can We Reduce Multi-Variable Range Estimation Problem to Two Fewer-Variable Problems?, Joe Lorkowski, Olga Kosheleva, Luc Longpre, and Vladik Kreinovich

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Fuzzy Logic Ideas Can Help in Explaining Kahneman and Tversky's Empirical Decision Weights, Joe Lorkowski and Vladik Kreinovich

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Granularity Helps Explain Seemingly Irrational Features of Human Decision Making, Joe Lorkowski and Vladik Kreinovich

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How Much For an Interval? a Set? a Twin Set? a p-Box? A Kaucher Interval? Towards an Economics-Motivated Approach to Decision Making Under Uncertainty, Joe Lorkowski and Vladik Kreinovich

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How to Gauge Unknown Unknowns: A Possible Theoretical Explanation of the Usual Safety Factor of 2, Joe Lorkowski and Vladik Kreinovich

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Interval and Symmetry Approaches to Uncertainty -- Pioneered by Wiener -- Helps Explain Many Seemingly Irrational Human Behaviors: A Case Study, Joe Lorkowski and Vladik Kreinovich

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Likert-Type Fuzzy Uncertainty From A Traditional Decision Making Viewpoint: How Symmetry Helps Explain Human Decision Making (Including Seemingly Irrational Behavior), Joe Lorkowski and Vladik Kreinovich

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Towards Decision Making under Interval, Set-Valued, Fuzzy, and Z-Number Uncertainty: A Fair Price Approach, Joe Lorkowski, Vladik Kreinovich, and Rafik Aliev

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How to Fully Represent Expert Information about Imprecise Properties in a Computer System -- Random Sets, Fuzzy Sets, and Beyond: An Overview, Hung T. Nguyen and Vladik Kreinovich

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Using Second-Order Probabilities to Make Maximum Entropy Approach to Copulas More Reasonable, Hung T. Nguyen, Vladik Kreinovich, and Berlin Wu

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r-Bounded Fuzzy Measures are Equivalent to epsilon-Possibility Measures, Karen A. Richart-Ruiz, Olga Kosheleva, and Vladik Kreinovich

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How to Assign Weights to Different Factors in Vulnerability Analysis: Towards a Justification of a Heuristic Technique, Beverly Rivera, Irbis Gallegos, and Vladik Kreinovich

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From Numerical Probabilities to Linguistic Probabilities: A Theoretical Justification of Empirical Granules Used in Risk Management, Beverly Rivera, Francisco Zapata, and Vladik Kreinovich

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Granularity Explains Empirical Factor-of-Three Relation Between Probabilities of Pulmonary Embolism in Different Patient Categories, Beverly Rivera, Francisco Zapata, and Vladik Kreinovich

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Security Risk Assessment: Towards a Justification for the Security Risk Factor Table Model, Beverly Rivera, Francisco Zapata, and Vladik Kreinovich