Technical Reports from 2015
A Possible Utility-Based Explanation of Deaton's Paradox (and Habits of Mind), Hung T. Nguyen, Songsak Sriboonchitta, Olga Kosheleva, and Vladik Kreinovich
Our Reasoning is Clearly Fuzzy, so Why Is Crisp Logic So Often Adequate?, Hung T. Nguyen, Berlin Wu, and Vladik Kreinovich
How to Explain The Empirical Success of Generalized Trigonometric Functions in Processing Discontinuous Signals, Pedro Barragan Olague and Vladik Kreinovich
Why Lattice-Valued Fuzzy Values? A Mathematical Justification, Rujira Ouncharoen, Vladik Kreinovich, and Hung T. Nguyen
How to Modify Data Processing Algorithms So That They Detect Only Dependencies Which Make Sense to Domain Experts, Geovany Ramirez, Craig Tweedie, Jason Carlsson, and Vladik Kreinovich
Inverse problems in theory and practice of measurements and metrology, Konstantin K. Semenov, Gennadi N. Solopchenko, and Vladik Kreinovich
Comparisons of Measurement Results as Constraints on Accuracies of Measuring Instruments: When Can We Determine the Accuracies from These Constraints?, Christian Servin and Vladik Kreinovich
How to Make Sure That Everyone Works Towards a Common Goal: Towards Optimal Incentives, Christian Servin and Vladik Kreinovich
From 1-D to 2-D Fuzzy: A Proof that Interval-Valued and Complex-Valued Are the Only Distributive Options, Christian Servin, Vladik Kreinovich, and Olga Kosheleva
How to Estimate Expected Shortfall When Probabilities Are Known with Interval or Fuzzy Uncertainty, Christian Servin, Hung T. Nguyen, and Vladik Kreinovich
Symbolic Aggregate ApproXimation (SAX) under Interval Uncertainty, Chrysostomos D. Stylios and Vladik Kreinovich
Sometimes, It Is Beneficial to Process Different Types of Uncertainty Separately, Chrysostomos D. Stylios, Andrzej Pownuk, and Vladik Kreinovich
Dow Theory's Peak-and-Trough Analysis Justified, Chrysostomos Stylios and Vladik Kreinovich
A Natural Simple Model of Scientists' Strength Leads to Skew-Normal Distribution, Komsan Suriya, Tatcha Sudtasan, Tonghui Wang, Octavio Lerma, and Vladik Kreinovich
From Equations to Tri-quations and Multi-quations, Mourat Tchoshanov, Olga Kosheleva, and Vladik Kreinovich
On the Importance of Duality and Multi-Ality In Mathematics Education, Mourat Tchoshanov, Olga Kosheleva, and Vladik Kreinovich
Once We Know that a Polynomial Mapping Is Rectifiable, We Can Algorithmically Find a Rectification, Julio Urenda, David Finston, and Vladik Kreinovich
When Can We Simplify Data Processing: An Algorithmic Answer, Julio Urenda, Olga Kosheleva, Vladik Kreinovich, and Berlin Wu
A Corpus for Investigating English-Language Learners' Dialog Behaviors, Nigel Ward and Paola Gallardo
Minimax Portfolio Optimization under Interval Uncertainty, Meng Yuan, Xu Lin, Junzo Watada, and Vladik Kreinovich
How to Speed Up Software Migration and Modernization: Successful Strategies Developed by Precisiating Expert Knowledge, Francisco Zapata, Octavio Lerma, Leobardo Valera, and Vladik Kreinovich
Technical Reports from 2014
A Catalog of While Loop Specification Patterns, Aditi Barua and Yoonsik Cheon
If We Take Into Account that Constraints Are Soft, Then Processing Constraints Becomes Algorithmically Solvable, Quentin Brefort, Luc Jaulin, Martine Ceberio, and Vladik Kreinovich
Towards Fast and Reliable Localization of an Underwater Object: An Interval Approach, Quentin Brefort, Luc Jaulin, Martine Ceberio, and Vladik Kreinovich
From Global to Local Constraints: A Constructive Version of Bloch's Principle, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich
Range Estimation under Constraints is Computable Unless There Is a Discontinuity, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich
Writing Self-testing Java Classes with SelfTest, Yoonsik Cheon
Extending OCL to Better Express UML Qualified Associations, Alla Dove, Aditi Barua, and Yoonsik Cheon
Roadmap for Graduating Students with Expertise in the Analysis and Development of Secure Cyber-Systems, Ann Q. Gates, Salamah Salamah, and Luc Longpre
Why Ricker Wavelets Are Successful in Processing Seismic Data: Towards a Theoretical Explanation, Afshin Gholamy and Vladik Kreinovich
Examining the Consistence of Futures Margin Levels using Bivariate Extreme Value Copulas, X. Gong, Hung T. Nguyen, Vladik Kreinovich, and Songsak Sriboonchitta
From Interval-Valued Probabilities to Interval-Valued Possibilities: Case Studies of Interval Computation under Constraints, Luis C. Gutierrez, Martine Ceberio, Vladik Kreinovich, Rebekah L. Gruver, Mariana Peña, Mathew J. Rister, Abraham Saldaña, John Vasquez, Janelle Ybarra, and Salem Benferhat
A Simple Probabilistic Explanation of Term Frequency-Inverse Document Frequency (tf-idf) Heuristic (and Variations Motivated by This Explanation), Lukas Havrlant and Vladik Kreinovich
F-Transform Enhancement of the Sampling Theorem and Reconstruction of Noisy Signals, Michal Holčapek, Irina Perfilieva, and Vladik Kreinovich
How to Understand Connections Based on Big Data: From Cliques to Flexible Granules, Ali Jalal-Kamali, M. Shahriar Hossain, and Vladik Kreinovich
A Feasible Algorithm for Checking n-Scissors Congruence of Polyhedra in Rd, Olga Kosheleva and Vladik Kreinovich
Decision Making under Interval Uncertainty: What Can and What Cannot Be Computed in Linear Time and in Real Time, Olga Kosheleva and Vladik Kreinovich
Deep Mathematical Results Are The Ones That Connect Seemingly Unrelated Areas: Towards A Formal Proof Of Gian-Carlo Rota's Thesis, Olga Kosheleva and Vladik Kreinovich
For Each Mathematical Statement, Only Finitely Many of Its Generalizations Are Useful: A Formal Proof of E. Bishop's Idea, Olga Kosheleva and Vladik Kreinovich
How to Compare Different Range Estimations: A Symmetry-Based Approach, Olga Kosheleva and Vladik Kreinovich
Kekule's Benzene Structure: A Case Study of Teaching Usefulness of Symmetry, Olga Kosheleva and Vladik Kreinovich
Observable Causality Implies Lorentz Group: Alexandrov-Zeeman-Type Theorem for Space-Time Regions, Olga Kosheleva and Vladik Kreinovich
Simpler-to-Describe Cases are Often More Difficult to Prove: A Possible Explanation, Olga Kosheleva and Vladik Kreinovich
Towards a Formal Description of Understandability (Causality, Pre-Requisites): From Prosorov's Phonocentric Topology to More General Interior (Closure) Structures, Olga Kosheleva and Vladik Kreinovich
Zipf's Law and 7 Plus Minus 2 Principle Lead to a Possible Explanation of Daniel's Law, Olga Kosheleva and Vladik Kreinovich
Fitts's Law: Towards a Geometric Explanation, Olga Kosheleva, Vladik Kreinovich, and Octavio Lerma
Formalizing the Informal, Precisiating the Imprecise: How Fuzzy Logic Can Help Mathematicians and Physicists by Formalizing Their Intuitive Ideas, Olga Kosheleva, Renata Reiser, and Vladik Kreinovich
If Many Physicists Are Right and No Physical Theory Is Perfect, Then by Using Physical Observations, We Can Feasibly Solve Almost All Instances of Each NP-Complete Problem, Olga Kosheleva, Michael Zakharevich, and Vladik Kreinovich
Asymptotically Optimal Algorithm for Checking Whether a Given Vector Is a Solution to a Given Interval-Quantifier Linear System, Vladik Kreinovich
Constructive Mathematics in St. Petersburg, Russia: A (Somewhat Subjective) View from Within, Vladik Kreinovich