Technical Reports from 2013
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
How to Detect Linear Dependence on the Copula Level?, Vladik Kreinovich, Hung T. Nguyen, and Songsak Sriboonchitta
Towards a Localized Version of Pearson's Correlation Coefficient, Vladik Kreinovich, Hung T. Nguyen, and Berlin Wu
Towards a Better Understanding of Space-Time Causality: Kolmogorov Complexity and Causality as a Matter of Degree, Vladik Kreinovich and Andres Ortiz
Why Inverse F-transform? A Compression-Based Explanation, Vladik Kreinovich, Irina Perlieva, and Vilém Novák
How to Distinguish True Dependence from Varying Independence?, Marketa Krmelova, Martin Trnecka, Vladik Kreinovich, and Berlin Wu
On Early Stages of Idea Propagation, the Number of Adopters Grows as n(t) ~ c * ta: Theoretical Explanation of the Empirical Observation, L. Octavio Lerma, Deana Pennington, and Vladik Kreinovich
Towards Designing Optimal Individualized Placement Tests, Octavio Lerma, Olga Kosheleva, Shahnaz Shahbazova, and Vladik Kreinovich
Studying Volatility and Dependency of Chinese Outbound Tourism Demand in Singapore, Malaysia, and Thailand: A Vine Copula Approach, Jianxu Liu, Songsak Sriboonchitta, Hung T. Nguyen, and Vladik Kreinovich
Likert-Scale Fuzzy Uncertainty from a Traditional Decision Making Viewpoint: It Incorporates Both Subjective Probabilities and Utility Information, Joe Lorkowski and Vladik Kreinovich
Similarity Approach to Defining Basic Level of Concepts Explained from the Utility Viewpoint, Joe Lorkowski and Martin Trnecka
Note on Fair Price under Interval Uncertainty, Joshua McKee, Joe Lorkowski, and Thavatchai Ngamsantivong
Complete Description of Idempotent Hedges in Fuzzy Logic, Jaime Nava
Why Triangular Membership Functions Work Well in F-Transform: A Theoretical Explanation, Jaime Nava and Vladik Kreinovich
"And"- and "or"-operations for "double", "triple", etc. fuzzy sets, Hung T. Nguyen, Vladik Kreinovich, and Olga Kosheleva
Filtering out high frequencies in time series using F-transform, Vilém Novák, Irina Perfilieva, Michal Holčapek, and Vladik Kreinovich
Towards Model Fusion in Geophysics: How to Estimate Accuracy of Different Models, Omar Ochoa, Aaron A. Velasco, and Christian Servin
Full Superposition Principle Is Inconsistent with Non-Deterministic Versions of Quantum Physics, Andres Ortiz and Vladik Kreinovich
Using Symmetries (Beyond Geometric Symmetries) in Chemical Computations: Computing Parameters of Multiple Binding Sites, Andres Ortiz and Vladik Kreinovich
F-transform in View of Aggregation Functions, Irina Perfilieva and Vladik Kreinovich