Technical Reports from 2019
Finitely Generated Sets of Fuzzy Values: If "And" Is Exact, Then "Or" Is Almost Always Approximate, And Vice Versa -- A Theorem, Julio Urenda, Olga Kosheleva, and Vladik Kreinovich
Fuzzy Logic Explains the Usual Choice of Logical Operations in 2-Valued Logic, Julio Urenda, Olga Kosheleva, and Vladik Kreinovich
Geometric Explanation for an Empirical Formula Describing Our Galaxy's Warping, Julio Urenda, Olga Kosheleva, and Vladik Kreinovich
Why Derivative: Invariance-Based Explanation, Julio Urenda, Olga Kosheleva, and Vladik Kreinovich
Geometric Aspects of Wound Healing, Julio Urenda and Vladik Kreinovich
In the Absence of Information, 1/n Investment Makes Perfect Sense, Julio Urenda and Vladik Kreinovich
When Revolutions Happen: Algebraic Explanation, Julio Urenda and Vladik Kreinovich
Why a Classification Based on Linear Approximation to Dynamical Systems Often Works Well in Nonlinear Cases, Julio Urenda and Vladik Kreinovich
Why Liquids? A Symmetry-Based Solution to Weisskopf's Challenge, Julio Urenda and Vladik Kreinovich
Derivation of Louisville-Bratu-Gelfand Equation from Shift- or Scale-Invariance, Leobardo Valera, Martine Ceberio, and Vladik Kreinovich
How Earthquake Risk Depends on the Closeness to a Fault: Symmetry-Based Geometric Analysis, Aaron A. Velasco, Solymar Ayala Cortez, Olga Kosheleva, and Vladik Kreinovich
Planning for a Corpus of Continuous Ratings of Spoken Dialog Quality, Nigel G. Ward
How to Apply Software Engineering Testing Methodologies to Education, Francisco Zapata, Olga Kosheleva, and Vladik Kreinovich
How We Can Explain Simple Empirical Memory Rules, Francisco Zapata, Olga Kosheleva, and Vladik Kreinovich
Logarithms Are Not Infinity: A Rational Physics-Related Explanation of the Mysterious Statement by Lev Landau, Francisco Zapata, Olga Kosheleva, and Vladik Kreinovich
Why A Is Usually 90, B Is 80, etc.: A Possible Explanation, Francisco Zapata, Olga Kosheleva, and Vladik Kreinovich
Technical Reports from 2018
Towards Foundations of Interval and Fuzzy Uncertainty, Mahdokhat Afravi, Kehinde Akinola, Fredrick Ayivor, Ramon Bustamante, Erick Duarte, Ahnaf Farhan, Martha Garcia, Govinda K. C., Jeffrey Hope, Olga Kosheleva, Vladik Kreinovich, Jose Perez, Francisco Rodriguez, Christian Servin, Eric Torres, and Jesus Tovar
Qualitative conditioning in an interval-based possibilistic setting, Salem Benferhat, Vladik Kreinovich, and Amelie Levray
Italian Folk Multiplication Algorithm Is Indeed Better: It Is More Parallelizable, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich
Reverse Mathematics Is Computable for Interval Computations, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich
Why Zipf's Law: A Symmetry-Based Explanation, Daniel Cervantes, Olga Kosheleva, and Vladik Kreinovich
Analysis of Prosody Around Turn Starts, Gerardo Cervantes and Nigel Ward
Soft Computing Ideas Can Help Earthquake Geophysics, Solymar Ayala Cortez, Aaron A. Velasco, and Vladik Kreinovich
How to Monitor Possible Side Effects of Enhanced Oil Recovery Process, Jose Manuel Dominguez Esquivel, Solymar Ayala Cortez, Aaron A. Velasco, and Vladik Kreinovich
Why Hammerstein-Type Block Models Are So Efficient: Case Study of Financial Econometrics, Thongchai Dumrongpokaphan, Afshin Gholamy, Vladik Kreinovich, and Nguyen Hoang Phuong
Translating Discrete Estimates into a Less Detailed Scale: An Optimal Approach, Thongchai Dumrongpokaphan, Olga Kosheleva, and Vladik Kreinovich
Why Threshold Models: A Theoretical Explanation, Thongchai Dumrongpokaphan, Vladik Kreinovich, and Songsak Sriboonchitta
Why Max and Average Poolings are Optimal in Convolutional Neural Networks, Ahnaf Farhan, Olga Kosheleva, and Vladik Kreinovich
Why Skew Normal: A Simple Pedagogical Explanation, José Guadalupe Flores Muñiz, Vyacheslav Kalashnikov, Nataliya Kalashnykova, Olga Kosheleva, and Vladik Kreinovich
Towards Parallel Quantum Computing: Standard Quantum Teleportation Algorithm Is, in Some Reasonable Sense, Unique, Oscar Galindo, Olga Kosheleva, and Vladik Kreinovich
Current Quantum Cryptography Algorithm Is Optimal: A Proof, Oscar Galindo, Vladik Kreinovich, and Olga Kosheleva
Why Triangular and Trapezoid Membership Functions Are Efficient in Design Applications, Afshin Gholamy, Olga Kosheleva, and Vladik Kreinovich
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
Why 70/30 or 80/20 Relation Between Training and Testing Sets: A Pedagogical Explanation, Afshin Gholamy, Vladik Kreinovich, and Olga Kosheleva
Virtual Agent Interaction Framework (VAIF): A Tool for Rapid Development of Social Agents, Ivan Gris and David G. Novick
Optimization of Quadratic Forms and t-norm Forms on Interval Domain and Computational Complexity, Milan Hladik, Michal Čerńy, and Vladik Kreinovich
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
How to Efficiently Compute Ranges Over a Difference Between Boxes, With Applications to Underwater Localization, Luc Jaulin, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich
How to Describe Correlation in the Interval Case?, Carlos Jimenez, Francisco Zapata, and Vladik Kreinovich
All Maximally Complex Problems Allow Simplifying Divide-and-Conquer Approach: Intuitive Explanation of a Somewhat Counterintuitive Ladner's Result, Olga Kosheleva and Vladik Kreinovich
Comparing US and Russian Grading Scales, Olga Kosheleva and Vladik Kreinovich
How Intelligence Community Interprets Imprecise (Fuzzy) Words, and How to Justify This Empirical-Based Interpretation, Olga Kosheleva and Vladik Kreinovich
How to Explain the Results of the Richard Thaler's 1997 Financial Times Contest, Olga Kosheleva and Vladik Kreinovich
In the Discrete Case, Averaging Cannot Be Consistent, Olga Kosheleva and Vladik Kreinovich
Measures of Specificity Used in the Principle of Justifiable Granularity: A Theoretical Explanation of Empirically Optimal Selections, Olga Kosheleva and Vladik Kreinovich
Relativistic Effects Can Be Used to Achieve a Universal Square-Root (Or Even Faster) Computation Speedup, Olga Kosheleva and Vladik Kreinovich
Secure Multi-Agent Quantum Communication: Towards the Most Efficient Scheme (A Pedagogical Remark), Olga Kosheleva and Vladik Kreinovich
Why Asset-Based Approach to Teaching Is More Effective than the Usual Deficit-Based Approach, and Why The New Approach Is Not Easy to Implement: A Simple Geometric Explanation, Olga Kosheleva and Vladik Kreinovich
Why Bellman-Zadeh Approach to Fuzzy Optimization, Olga Kosheleva and Vladik Kreinovich
Why Early Galaxies Were Pickle-Shaped: A Geometric Explanation, Olga Kosheleva and Vladik Kreinovich