Technical Reports from 2014
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
Picture Fuzzy Sets - a new concept for computational intelligence problems, Bui Cong Cuong and Vladik Kreinovich
Computing Covariance and Correlation in Optimally Privacy-Protected Statistical Databases: Feasible Algorithms, Joshua Day, Ali Jalal-Kamali, and Vladik Kreinovich
Feasible algorithms for lattice and directed subspaces, Jennifer (Hamlyn) Del Valle, Vladik Kreinovich, and Piotr Wojciechowski
Conservation of Energy Implies Conservation of Momentum: How We Can Explain Conservation of Momentum to Before-Calculus Students, Eric Freudenthal, Eric Hagedorn, and Olga Kosheleva
Algebraic Product is the Only t-Norm for Which Optimization Under Fuzzy Constraints is Scale-Invariant, Juan Carlos Figueroa Garcia, Martine Ceberio, and Vladik Kreinovich
Minimization of Average Sensitivity as a Method of Selecting Fuzzy Functions and Operations: Successes and Limitations, Riya George, Suresh Subramanian, Alejandro Vega, and Olga Kosheleva
Processing Quantities with Heavy-Tailed Distribution of Measurement Uncertainty: How to Estimate the Tails of the Results of Data Processing, Michal Holčapek and Vladik Kreinovich
Necessary and Sufficient Conditions for Generalized Uniform Fuzzy Partitions, Michal Holčapek, Irina Perfilieva, Vilém Novák, and Vladik Kreinovich
Estimating Third Central Moment C3 for Privacy Case under Interval and Fuzzy Uncertainty, Ali Jalal-Kamali and Vladik Kreinovich
Solving Interval Linear Systems Is NP-Hard Even When All Inputs Are Known With the Same Accuracy, Ralph Kelsey and Vladik Kreinovich
Security Games with Interval Uncertainty, Christopher Kiekintveld, Towhidul Islam, and Vladik Kreinovich
Peak-End Rule: A Utility-Based Explanation, Olga Kosheleva, Martine Ceberio, and Vladik Kreinovich
Approximate Nature of Traditional Fuzzy Methodology Naturally Leads to Complex-Valued Fuzzy Degrees, Olga Kosheleva and Vladik Kreinovich
Brans-Dicke Scalar-Tensor Theory of Gravitation May Explain Time Asymmetry of Physical Processes, Olga Kosheleva and Vladik Kreinovich
Dialect or a New Language: A Possible Explanation of the 70% Mutual Intelligibility Threshold, Olga Kosheleva and Vladik Kreinovich
Finding the Best Function: A Way to Explain Calculus of Variations to Engineering and Science Students, Olga Kosheleva and Vladik Kreinovich
For Describing Uncertainty, Ellipsoids Are Better than Generic Polyhedra and Probably Better than Boxes: A Remark, Olga Kosheleva and Vladik Kreinovich
How to Explain (and Overcome) 2% Barrier in Teaching Computer Science: Fuzzy Ideas Can Help, Olga Kosheleva and Vladik Kreinovich
Perception of Elite and Universal Systems of Higher Education: An Explanation of the Empirical Thresholds, Olga Kosheleva and Vladik Kreinovich
Space-Time Assumptions Behind NP-Hardness of Propositional Satisfiability, Olga Kosheleva and Vladik Kreinovich
Stochastic Causality Is Inconsistent with the Lorentz Group, Olga Kosheleva and Vladik Kreinovich
Use of Grothendieck Inequality in Interval Computations: Quadratic Terms are Estimated Accurately Modulo a Constant Factor, Olga Kosheleva and Vladik Kreinovich
Why 20? Why 40? A Possible Explanation of a Special Role of 20 and 40 in Traditional Number Systems, Olga Kosheleva and Vladik Kreinovich
Why in Mayan Mathematics, Zero and Infinity Are the Same: A Possible Explanation, Olga Kosheleva and Vladik Kreinovich
Why Rozenzweig-Style Midrashic Approach Makes Rational Sense: A Logical (Spinoza-Like) Explanation Of A Seemingly Non-Logical Approach, Olga Kosheleva and Vladik Kreinovich
Computing with Words: Towards a New Tuple-Based Formalization, Olga Kosheleva, Vladik Kreinovich, Ariel Garcia, Felipe Jovel, Luis A. Torres Escobedo, and Thavatchai Ngamsantivong
Fuzzy Sets Can Be Interpreted as Limits of Crisp Sets, and This Can Help to Fuzzify Crisp Notions, Olga Kosheleva, Vladik Kreinovich, and Thavatchai Ngamsantivong
Why Complex-Valued Fuzzy? Why Complex Values in General? A Computational Explanation, Olga Kosheleva, Vladik Kreinovich, and Thavatchai Ngamsantivong
Beyond Traditional Chemical Kinetics Formulas: Group-Theoretic Approach, Vladik Kreinovich
Is Langrangian Formalism Adequately Describing Energy Conservation?, Vladik Kreinovich and Olga Kosheleva
A Symmetry-Based Approach to Selecting Membership Functions and Its Relation to Chemical Kinetics, Vladik Kreinovich, Olga Kosheleva, Jorge Y. Cabrera, Mario Gutierrez, and Thavatchai Ngamsantivong