Technical Reports from 2023
How to Efficiently Propagate P-Box Uncertainty, Olga Kosheleva and Vladik Kreinovich
If We Add Axiom of Choice to Constructive Analysis, We Get Classical Arithmetic: An Exercise in Reverse Constructive Mathematics, Olga Kosheleva and Vladik Kreinovich
Industry-Academia Collaboration: Main Challenges and What Can We Do, Olga Kosheleva and Vladik Kreinovich
Smooth Non-Additive Integrals and Measures and Their Potential Applications, Olga Kosheleva and Vladik Kreinovich
What Was More Frequently Used -- "And" or "Or": Based on Analysis of European Languages, Olga Kosheleva and Vladik Kreinovich
When Is a Single "And"-Condition Enough?, Olga Kosheleva and Vladik Kreinovich
Wormholes, Superfast Computations, and Selivanov's Theorem, Olga Kosheleva and Vladik Kreinovich
How to Select A Model If We Know Probabilities with Interval Uncertainty, Vladik Kreinovich
From Type-2 Fuzzy to Type-2 Intervals and Type-2 Probabilities, Vladik Kreinovich, Olga Kosheleva, and Luc Longpré
Which Random-Set Representation of a Fuzzy Set Is the Simplest?, Vladik Kreinovich, Olga Kosheleva, and Hung T. Nguyen
Uncertainty Quantification for Results of AI-Based Data Processing: Towards More Feasible Algorithms, Christoph Q. Lauter, Martine Ceberio, Vladik Kreinovich, and Olga Kosheleva
Approximate Stochastic Dominance Revisited, Chon Van Le, Olga Kosheleva, and Vladik Kreinovich
Why Softmax? Because It Is the Only Consistent Approach to Probability-Based Classification, Anatole Lokshin and Vladik Kreinovich
Complex Numbers Explain Why in Chinese Tradition, 4 Is Bad But 8 Is Good, Luc Longpre, Olga Kosheleva, and Vladik Kreinovich
Designing an Optimal Medicine Cocktail Is NP-Hard, Luc Longpre and Vladik Kreinovich
Towards Decision Making Under Interval Uncertainty, Juan A. Lopez and Vladik Kreinovich
Which Fuzzy Implications Operations Are Polynomial? A Theorem Proves That This Can Be Determined by a Finite Set of Inequalities, Sebastia Massanet, Olga Kosheleva, and Vladik Kreinovich
Why Fractional Fuzzy, Mehran Mazandarani, Olga Kosheleva, and Vladik Kreinovich
How to Make Machine Learning Financial Recommendations More Fair: Theoretical Explanation, Tho M. Nguyen, Saeid Tizpaz-Niari, and Vladik Kreinovich
Linear Regression under Partial Information, Tho M. Nguyen, Saeid Tizpaz-Niari, and Vladik Kreinovich
Local-Global Support for Earth Sciences: Economic Analysis, Uyen Hoang Pham, Aaron Velasco, and Vladik Kreinovich
Foundations of Neural Networks Explain the Empirical Success of the "Surrogate" Approach to Ordinal Regression -- and Recommend What Next, Salvador Robles, Martine Ceberio, and Vladik Kreinovich
Why Resilient Modulus Is Proportional to the Square Root of Unconfined Compressive Strength (UCS): A Qualitative Explanation, Edgar Daniel Rodriguez Velasquez and Vladik Kreinovich
Why Inverse Layers in Pavement? Why Zipper Fracking? Why Interleaving in Education? A General Explanation, Edgar Daniel Rodriguez Velasquez, Aaron Velasco, Olga Kosheleva, and Vladik Kreinovich
Everything Is a Matter of Degree: The Main Idea Behind Fuzzy Logic Is Useful in Geosciences and in Authorship, Christian Servin, Aaron Velasco, Edgar Daniel Rodriguez Velasquez, and Vladik Kreinovich
If Everything is a Matter of Degree, Why Do Crisp Techniques Often Work Better?, Miroslav Svitek, Olga Kosheleva, and Vladik Kreinovich
Is Fully Explainable AI Even Possible: Fuzzy-Based Analysis, Miroslav Svitek, Olga Kosheleva, and Vladik Kreinovich
The World Is Cognizable: An Argument Based on Hoermander's Theorem, Miroslav Svitek, Olga Kosheleva, and Vladik Kreinovich
What Do Goedel's Theorem and Arrow's Theorem Have in Common: A Possible Answer to Arrow's Question, Miroslav Svitek, Olga Kosheleva, and Vladik Kreinovich
When Is It Beneficial to Merge Two Companies? When Is it Beneficial to Start a Research Collaboration?, Miroslav Svitek, Olga Kosheleva, and Vladik Kreinovich
How to Combine Probabilistic and Fuzzy Uncertainty: Theoretical Explanation of Clustering-Related Empirical Result, Lázló Szilágyi, Olga Kosheleva, and Vladik Kreinovich
From Fuzzy to Mobile Fuzzy, Victor L. Timchenko, Yuriy P. Kondratenko, Olga Kosheleva, and Vladik Kreinovich
Towards a Psychologically Natural Relation Between Colors and Fuzzy Degrees, Victor L. Timchenko, Yuriy P. Kondratenko, Olga Kosheleva, Vladik Kreinovich, and Nguyen Hoang Phuong
Interval-Valued and Set-Valued Extensions of Discrete Fuzzy Logics, Belnap Logic, and Color Optical Computing, Victor L. Timchenko, Yury P. Kondratenko, and Vladik Kreinovich
Natural Color Interpretation of Interval-Valued Fuzzy Degrees, Victor L. Timchenko, Yury P. Kondratenko, Vladik Kreinovich, and Olga Kosheleva
Why Unit Two-Variable-Per-Inequality (UTVPI) Constraints Are So Efficient to Handle: Intuitive Explanation, Saeid Tizpaz-Niari, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich
How to Best Retrain a Neural Network If We Added One More Input Variable, Saeid Tizpaz-Niari and Vladik Kreinovich
Fast -- Asymptotically Optimal -- Methods for Determining the Optimal Number of Features, Saied Tizpaz-Niari, Luc Longpré, Olga Kosheleva, and Vladik Kreinovich
Why Micro-Funding? Why Small Businesses Are Important? Analysis Based on First Principles, Hein D. Tran, Edwin Tomy George, and Vladik Kreinovich
Fuzzy Techniques Explain the Effectiveness of ReLU Activation Function in Deep Learning, Julio C. Urenda, Olga Kosheleva, and Vladik Kreinovich
Methodological Lesson of Pythagorean Triples, Julio C. Urenda, Olga Kosheleva, and Vladik Kreinovich
Why Deep Learning Is Under-Determined? Why Usual Numerical Methods for Solving Partial Differential Equations Do Not Preserve Energy? The Answers May Be Related to Chevalley-Warning Theorem (and Thus to Fermat Last Theorem), Julio C. Urenda, Olga Kosheleva, and Vladik Kreinovich
Logical Inference Inevitably Appears: Fuzzy-Based Explanation, Julio C. Urenda, Olga Kosheleva, Vladik Kreinovich, and Orsolya Csiszar
Giant Footprints of Buddha and Generalized Limits, Julio C. Urenda and Vladik Kreinovich
Topological Explanation of Why Complex Numbers Are Needed in Quantum Physics, Julio C. Urenda and Vladik Kreinovich
Usually, Either Left and Right Brains Are Equally Active or Only One of Them Is Active: First-Principles Explanation, Julio C. Urenda and Vladik Kreinovich
Why Attitudes Are Usually Mutual: A Possible Mathematical Explanation, Julio C. Urenda and Vladik Kreinovich
Why Gliding Symmetry Used to Be Prevalent in Biology But Practically Disappeared, Julio C. Urenda and Vladik Kreinovich
Low-Probability High-Impact Events Are Even More Important Than It Is Usually Assumed, Aaron Velasco, Olga Kosheleva, and Vladik Kreinovich
Why 6-Labels Uncertainty Scale in Geosciences: Probability-Based Explanation, Aaron Velasco, Julio C. Urenda, Olga Kosheleva, and Vladik Kreinovich