Technical Reports from 2014
Dealing with Uncertainties in Computing: from Probabilistic and Interval Uncertainty to Combination of Different Types of Uncertainty, Vladik Kreinovich
Interval computations and interval-related statistical techniques: estimating uncertainty of the results of data processing and indirect measurements, Vladik Kreinovich
In Category Of Sets And Relations, It Is Possible To Describe Functions In Purely Category Terms, Vladik Kreinovich, Martine Ceberio, and Quentin Brefort
Among Several Successful Algorithms, Simpler Ones Usually Work Better: A Possible Explanation of an Empirical Observation, Vladik Kreinovich and Olga Kosheleva
Is the World Itself Fuzzy? Physical Arguments for -- and Unexpected Computational Consequences of -- Zadeh's Vision, Vladik Kreinovich and Olga Kosheleva
Logic of Scientific Discovery: How Physical Induction Affects What Is Computable, Vladik Kreinovich and Olga Kosheleva
50 Years of Fuzzy: from Discrete to Continuous to -- Where?, Vladik Kreinovich, Hung T. Nguyen, Olga Kosheleva, and Rujira Ouncharoen
From Mean and Median Income to the Most Adequate Way of Taking Inequality Into Account, Vladik Kreinovich, Hung T. Nguyen, and Rujira Ouncharoen
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
Log-Periodic Power Law as a Predictor of Catastrophic Events: A New Mathematical Justification, Vladik Kreinovich, Hung T. Nguyen, and Songsak Sriboonchitta
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
What If We Only Have Approximate Stochastic Dominance?, Vladik Kreinovich, Hung T. Nguyen, and Songsak Sriboonchitta
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
Interleaving Enhances Learning: A Possible Geometric Explanation, Octavio Lerma, Olga Kosheleva, and Vladik Kreinovich
Why Injecting Fine Dust into a Tornado Is More Promising Than Injecting Coarse Dust: A Geometric Explanation, Octavio Lerma, Olga Kosheleva, and Vladik Kreinovich
Increased Climate Variability Is More Visible Than Global Warming: A General System-Theory Explanation, Octavio Lerma, Craig Tweedie, and Vladik Kreinovich
Every SUE Function is a Ratio of Two Multi-Linear Functions, Joe Lorkowski, Olga Kosheleva, and Vladik Kreinovich
How to Modify Grade Point Average (GPA) to Make It More Adequate, Joe Lorkowski, Olga Kosheleva, and Vladik Kreinovich
When Can We Reduce Multi-Variable Range Estimation Problem to Two Fewer-Variable Problems?, Joe Lorkowski, Olga Kosheleva, Luc Longpre, and Vladik Kreinovich
Fuzzy Logic Ideas Can Help in Explaining Kahneman and Tversky's Empirical Decision Weights, Joe Lorkowski and Vladik Kreinovich
Granularity Helps Explain Seemingly Irrational Features of Human Decision Making, Joe Lorkowski and Vladik Kreinovich
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
How to Gauge Unknown Unknowns: A Possible Theoretical Explanation of the Usual Safety Factor of 2, Joe Lorkowski and Vladik Kreinovich
Interval and Symmetry Approaches to Uncertainty -- Pioneered by Wiener -- Helps Explain Many Seemingly Irrational Human Behaviors: A Case Study, Joe Lorkowski and Vladik Kreinovich
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
Towards Decision Making under Interval, Set-Valued, Fuzzy, and Z-Number Uncertainty: A Fair Price Approach, Joe Lorkowski, Vladik Kreinovich, and Rafik Aliev
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
Using Second-Order Probabilities to Make Maximum Entropy Approach to Copulas More Reasonable, Hung T. Nguyen, Vladik Kreinovich, and Berlin Wu
r-Bounded Fuzzy Measures are Equivalent to epsilon-Possibility Measures, Karen A. Richart-Ruiz, Olga Kosheleva, and Vladik Kreinovich
How to Assign Weights to Different Factors in Vulnerability Analysis: Towards a Justification of a Heuristic Technique, Beverly Rivera, Irbis Gallegos, and Vladik Kreinovich
From Numerical Probabilities to Linguistic Probabilities: A Theoretical Justification of Empirical Granules Used in Risk Management, Beverly Rivera, Francisco Zapata, and Vladik Kreinovich
Granularity Explains Empirical Factor-of-Three Relation Between Probabilities of Pulmonary Embolism in Different Patient Categories, Beverly Rivera, Francisco Zapata, and Vladik Kreinovich
Security Risk Assessment: Towards a Justification for the Security Risk Factor Table Model, Beverly Rivera, Francisco Zapata, and Vladik Kreinovich
Fuzzy Intervals As Foundation Of Metrological Support For Computations With Inaccurate Data, Konstantin K. Semenov, Gennady N. Solopchenko, and Vladik Kreinovich
Towards Efficient Algorithms for Approximating a Fuzzy Relation by Fuzzy Rules: Case When "And"- and "Or"-Operation are Distributive, Christian Servin and Vladik Kreinovich
How to Estimate Relative Spatial Resolution of Different Maps or Images of the Same Area?, Christian Servin, A A. Velasco, and Vladik Kreinovich
Homotopy Techniques in Solving Systems of Nonlinear Equations: A Theoretical Justification of Convex Combinations, Nicholas Sun
Diversity Is Beneficial for a Research Group: One More Quantitative Argument, Komsan Suriya, Tatcha Sudtasan, Tonghui Wang, Octavio Lerma, and Vladik Kreinovich
Construction of Shear Wave Models by Applying Multi-Objective Optimization to Multiple Geophysical Data Sets, Lennox Thompson, Aaron A. Velasco, and Vladik Kreinovich
How to Explain the Definition of Stochastic Affiliation to Economics Students, Tonghui Wang, Olga Kosheleva, and Vladik Kreinovich
Protecting Patient Privacy While Preserving Medical Information For Research, Gang Xiang, Jason O'Rawe, Vladik Kreinovich, Janos Hajagos, and Scott Ferson
Wiener's Conjecture About Transformation Groups Helps Predict Which Fuzzy Techniques Work Better, Francisco Zapata, Olga Kosheleva, and Vladik Kreinovich
Possible Geometric Explanations for Basic Empirical Dependencies of Systems Engineering, Francisco Zapata and Vladik Kreinovich
Technical Reports from 2013
From Urysohn's Universal Metric Space to a Universal Space-Time, A. G. Aksoy, Z. Glassman, Olga Kosheleva, and Vladik Kreinovich
Finding Specifications of While Statements Using Patterns, Aditi Barua and Yoonsik Cheon
Why Trapezoidal and Triangular Membership Functions Work So Well: Towards a Theoretical Explanation, Aditi Barua, Lalitha Snigdha Mudunuri, and Olga Kosheleva
Imprecise Probabilities in Engineering Analyses, Michael Beer, Scott Ferson, and Vladik Kreinovich
Comparing Intervals and Moments for the Quantification of Coarse Information, Michael Beer and Vladik Kreinovich
Towards a Physically Meaningful Definition of Computable Discontinuous and Multi-Valued Functions (Constraints), Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich
Constructing Verifiably Correct Java Programs Using OCL and CleanJava, Yoonsik Cheon and Carmen Avila