Technical Reports from 2003
Robust Methodology for Characterizing System Response to Damage: A Subjective (Fuzzy) Partial Ordered Modification of the Traditional Utility-Probability Scheme, Carlos de la Mora, Piotr Wojciechowski, Vladik Kreinovich, Scott A. Starks, Paul J. Tanenbaum, and Alexandr V. Kuzminykh
Novel Approaches to Numerical Software with Result Verification, Laurent Granvilliers, Vladik Kreinovich, and Norbert Mueller
Dimension Compactification -- A Possible Explanation for Superclusters and for Empirical Evidence Usually Interpreted as Dark Matter, Vladik Kreinovich
Probabilities, Intervals, What Next? Optimization Problems Related to Extension Interval Computations to Situations with Partial Information about Probabilities, Vladik Kreinovich
A New Cauchy-Based Black-Box Technique for Uncertainty in Risk Analysis, Vladik Kreinovich and Scott Ferson
Exact Upper Bound on the Mean of the Product of Many Random Variables with Known Expectations, Vladik Kreinovich, Scott Ferson, and Lev Ginzburg
Kolmogorov Complexity: How a Paradigm Motivated by Foundations of Physics Can Be Applied in Robust Control, Vladik Kreinovich and Issak A. Kunin
Computational Complexity and Feasibility of Data Processing and Interval Computations, with Extension to Cases When We Have Partial Information about Probabilities, Vladik Kreinovich and Luc Longpre
Are There Easy-To-Check Necessary and Sufficient Conditions for Straightforward Interval Computations to Be Exact?, Vladik Kreinovich, Luc Longpre, and James J. Buckley
A New Differential Formalism for Interval-Valued Functions and its Potential Use in Detecting 1-D Landscape Features, Vladik Kreinovich, Hung T. Nguyen, Gracaliz Pereira Dimuro, Antonio Carlos da Rocha Costa, and Benjamin Rene Callejas Bedregal
Outlier Detection under Interval and Fuzzy Uncertainty: Algorithmic Solvability and Computational Complexity, Vladik Kreinovich, Praveen Patangay, Luc Longpre, Scott A. Starks, Cynthia Campos, Scott Ferson, and Lev Ginzburg
A Feasible Algorithm for Locating Concave and Convex Zones of Interval Data and Its Use in Statistics-Based Clustering, Vladik Kreinovich, Eric J. Pauwels, Scott Ferson, and Lev Ginzburg
Can Quantum Computers Be Useful When There are Not Yet Enough Qubits?, Luc Longpre and Vladik Kreinovich
Fast Quantum Algorithms for Handling Probabilistic, Interval, and Fuzzy Uncertainty, Mark Martinez, Luc Longpre, Vladik Kreinovich, Scott A. Starks, and Hung T. Nguyen
Interval Approach to Phase Measurements Can Lead to Arbitrarily Complex Sets - A Theorem and Ways Around It, Bharat C. Mulupuru, Vladik Kreinovich, and Roberto Osegueda
Interval Arithmetic, Affine Arithmetic, Taylor Series Methods: Why, What Next?, Nedialko S. Nedialkov, Vladik Kreinovich, and Scott A. Starks
Dirty Pages of Logarithm Tables, Lifetime of the Universe, and (Subjective) Probabilities on Finite and Infinite Intervals, Hung T. Nguyen, Vladik Kreinovich, and Luc Longpre
Towards Foundations of Processing Imprecise Data: From Traditional Statistical Techniques of Processing Crisp Data to Statistical Processing of Fuzzy Data, Hung T. Nguyen, Tonghui Wang, and Vladik Kreinovich
Detection of Cracks at Rivet Holes in Thin Plates Using Lamb-Wave Scanning, Roberto A. Osegueda, Vladik Kreinovich, Soheil Nazarian, and Enrique Roldan
Detecting Cracks in Thin Plates by Using Lamb Wave Scanning: Geometric Approach, Roberto A. Osegueda, Vladik Kreinovich, Enrique Roldan, and Rodrigo Mares
Statistical and Dempster-Shafer Techniques in Testing Structural Integrity of Aerospace Structures, Roberto A. Osegueda, Seetharami R. Seelam, Bharat Mulupuru, and Vladik Kreinovich
Minimality of Solution Update in Conflict Resolution: An Application of Revision Programming to von Neumann-Morgenstern Approach, Inna Pivkina and Vladik Kreinovich
Use of Fuzzy Expert's Information in Measurement and What We Can Gain from its Application in Geophysics, Leon Reznik, Vladik Kreinovich, and Scott A. Starks
Robust Methodology for Characterizing System Response to Damage: Approach Based on Partial Order, Paul J. Tanenbaum, Carlos de la Mora, Piotr Wojciechowski, Olga Kosheleva, Vladik Kreinovich, Scott A. Starks, and Alexandr V. Kuzminykh
Sensitivity Analysis of Neural Control, Chin-Wang Tao, Hung T. Nguyen, J. T. Yao, and Vladik Kreinovich
Eliminating Duplicates under Interval and Fuzzy Uncertainty: An Asymptotically Optimal Algorithm and its Geospatial Applications, Roberto Torres, George R. Keller, Vladik Kreinovich, and Luc Longpre
A Full Function-Based Calculus of Directed and Undirected Intervals: Markov's Interval Arithmetic Revisited, Juergen Wolff von Gudenberg and Vladik Kreinovich
Real-Time Algorithms for Statistical Analysis of Interval Data, Berlin Wu, Hung T. Nguyen, and Vladik Kreinovich
On the Relation Between Two Approaches to Combining Evidence: Ordered Abelian Groups and Uninorms, Ronald R. Yager and Vladik Kreinovich
Technical Reports from 2002
On Symmetric Solution Sets, Goetz Alefeld, Vladik Kreinovich, and Guenter Mayer
Automatic Referencing of Multi-Spectral Images, Roberto Araiza, Hongjei Xie, Scott A. Starks, and Vladik Kreinovich
Computational Complexity of Planning with Discrete Time and Continuous State Variables, Chitta Baral and Vladik Kreinovich
Designing Interdisciplinary Approaches to Problem Solving into Computer Languages, Daniel E. Cooke, Vladik Kreinovich, and Joseph E. Urban
Exact Bounds on Sample Variance of Interval Data, Scott Ferson, Lev Ginzburg, Vladik Kreinovich, and Monica Aviles
Computing Variance for Interval Data is NP-Hard, Scott Ferson, Lev Ginzburg, Vladik Kreinovich, Luc Longpre, and Monica Aviles
Absolute Bounds on the Mean of Sum, Product, Max, and Min: A Probabilistic Extension of Interval Arithmetic, Scott Ferson, Lev Ginzburg, Vladik Kreinovich, and Jorge Lopez
Uncertainty in Risk Analysis: Towards a General Second-Order Approach Combining Interval, Probabilistic, and Fuzzy Techniques, Scott Ferson, Lev Ginzburg, Vladik Kreinovich, Hung T. Nguyen, and Scott A. Starks
On the Optimal Choice of Quality Metric in Image Compression, Olga Kosheleva, Vladik Kreinovich, and Yeung Yam
Range Estimation is NP-Hard for Epsilon-Square Accuracy and Feasible for Epsilon to the Power of 2-Delta, Vladik Kreinovich
Towards More Realistic (e.g., Non-Associative) And- and Or-Operations in Fuzzy Logic, Vladik Kreinovich
Interval Mathematics for Analysis of Multiresolutional Systems, Vladik Kreinovich and Richard Alo
Optimization Techniques under Uncertain Criteria, and Their Possible Use in Computerized Education, Vladik Kreinovich and Richard Alo
Was There Satan's Face in the World Trade Center Fire? A Geometric Analysis, Vladik Kreinovich and Dima Iourinski
Kolmogorov Complexity and Chaotic Phenomena, Vladik Kreinovich and Isaak A. Kunin
Why is Selecting the Simplest Hypothesis (Consistent with Data) a Good Idea? A Simple Explanation, Vladik Kreinovich, Luc Longpre, Scott Ferson, and Lev Ginzburg
From Computation with Guaranteed Intervals to Computation with Confidence Intervals: A New Application of Fuzzy Techniques, Vladik Kreinovich, Hung T. Nguyen, Scott Ferson, and Lev Ginzburg
Intelligent Techologies, Vladik Kreinovich, Hung T. Nguyen, Nadipuram S. Prasad, and Pratit Santiprabhob
Why Benchmarking is an (Asymptotically) Optimal Approach to Numerical Methods: A Geombinatoric Proof, Vladik Kreinovich and Scott A. Starks
Open-Ended Configurations of Radio Telescopes: Geometrical Analysis, Vladik Kreinovich, Scott A. Starks, Dima Iourinski, Olga Kosheleva, and Andrei Finkelstein
Open-Ended Configurations of Radio Telescopes: Towards Optimal Design, Vladik Kreinovich, Scott A. Starks, Olga Kosheleva, and Andrei Finkelstein