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Technical Reports from 2015

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Invariance Explains Multiplicative and Exponential Skedactic Functions, Vladik Kreinovich, Olga Kosheleva, Hung T. Nguyen, and Songsak Sriboonchitta

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Why Some Families of Probability Distributions Are Practically Efficient: A Symmetry-Based Explanation, Vladik Kreinovich, Olga Kosheleva, Hung T. Nguyen, and Songsak Sriboonchitta

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How To Take Into Account Model Inaccuracy When Estimating the Uncertainty Of the Result of Data Processing, Vladik Kreinovich, Olga Kosheleva, Andrzej Pownuk, and Rodrigo A. Romero

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We Live in the Best of Possible Worlds: Leibniz's Insight Helps to Derive Equations of Modern Physics, Vladik Kreinovich and Guoqing Liu

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Conditional Dimension in Metric Spaces: A Natural Metric-Space Counterpart of Kolmogorov-Complexity-Based Mutual Dimension, Vladik Kreinovich, Luc Longpre, and Olga Kosheleva

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Modeling Extremal Events Is Not Easy: Why the Extreme Value Theorem Cannot Be As General As the Central Limit Theorem, Vladik Kreinovich, Hung T. Nguyen, Songsak Sriboonchitta, and Olga Kosheleva

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Why Copulas?, Vladik Kreinovich, Hung T. Nguyen, Songsak Sriboonchitta, and Olga Kosheleva

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Fuzzy (And Interval) Techniques In The Age Of Big Data: An Overview With Applications To Environmental Science, Geosciences, Engineering, And Medicine, Vladik Kreinovich and Rujira Ouncharoen

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Combining Interval and Probabilistic Uncertainty: What Is Computable?, Vladik Kreinovich, Andrzej Pownuk, and Olga Kosheleva

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Simple Linear Interpolation Explains All Usual Choices in Fuzzy Techniques: Membership Functions, t-Norms, t-Conorms, and Defuzzification, Vladik Kreinovich, Jonathan Quijas, Esthela Gallardo, Caio De Sa Lopes, Olga Kosheleva, and Shahnaz Shahbazova

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How to Test Hypotheses When Exact Values are Replaced by Intervals to Protect Privacy: Case of t-Tests, Vladik Kreinovich and Christian Servin

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Interval Methods for Data Fitting under Uncertainty: A Probabilistic Treatment, Vladik Kreinovich and Sergey P. Shary

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Why Fuzzy Cognitive Maps Are Efficient, Vladik Kreinovich and Chrysostomos Stylios

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When Should We Switch from Interval-Valued Fuzzy to Full Type-2 Fuzzy (e.g., Gaussian)?, Vladik Kreinovich and Chrysostomos D. Stylios

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Student Autonomy Improves Learning: A Theoretical Justification of the Empirical Results, Octavio Lerma and Vladik Kreinovich

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Testing a Power Law Model of Knowledge Propagation: Case Study of the Out of Eden Walk Project, Octavio Lerma, Leobardo Valera, Deana Pennington, and Vladik Kreinovich

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Towards the Possibility of Objective Interval Uncertainty in Physics. II, Luc Longpre, Olga Kosheleva, and Vladik Kreinovich

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How Success In A Task Depends On The Skills Level: Two Uncertainty-Based Justifications Of A Semi-Heuristic Rasch Model, Joe Lorkowski, Olga Kosheleva, and Vladik Kreinovich

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How to Take Into Account a Student's Degree of Certainty When Evaluating the Test Results, Joe Lorkowski, Olga Kosheleva, and Vladik Kreinovich

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How Design Quality Improves with Increasing Computational Abilities: General Formulas and Case Study of Aircraft Fuel Efficiency, Joe Lorkowski, Olga Kosheleva, Vladik Kreinovich, and Sergei Soloviev

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Why Awe Makes People More Generous: Utility Theory Can Explain Recent Experiments, Joe Lorkowski and Vladik Kreinovich

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In Engineering Classes, How to Assign Partial Credit: From Current Subjective Practice to Exact Formulas (Based on Computational Intelligence Ideas), Joe Lorkowski, Vladik Kreinovich, and Olga Kosheleva

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Coming Up with a Good Question Is Not Easy: A Proof, Joe Lorkowski, Luc Longpre, Olga Kosheleva, and Salem Benferhat

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Setting Up a Highly Configurable, Scalable Nimbus Cloud Test Bed Running on a MANET, Joshua McKee

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Why ARMAX-GARCH Linear Models Successfully Describe Complex Nonlinear Phenomena: A Possible Explanation, Hung T. Nguyen, Vladik Kreinovich, Olga Kosheleva, and Songsak Sriboonchitta