Technical Reports from 1999
Towards Mathematical Foundations of Information Retrieval: Dependence of Website's Relevance on the Number of Occurrences of a Queried Word, Laszlo Koczy, Vladik Kreinovich, Yohanz Mendoza, Hung T. Nguyen, and Harry Schulte
For Interval Computations, if Absolute-Accuracy Optimization is NP-Hard, then so is Relative-Accuracy Optimization, Vladik Kreinovich
From Interval Methods of Representing Uncertainty to a General Description of Uncertainty, Vladik Kreinovich, Scott Ferson, Lev Ginzburg, Harry Schulte, Matthew R. Barry, and Hung T. Nguyen
Chu Spaces - a New Approach to Describing Uncertainty in Systems, Vladik Kreinovich, Guoqing Liu, and Hung T. Nguyen
Intervals (Pairs of Fuzzy Values), Triples, etc.: Can We Thus Get an Arbitrary Ordering?, Vladik Kreinovich and Masao Mukaidono
From Fuzzy Values to Intuitionistic Fuzzy Values to Intuitionistic Fuzzy Intervals Etc.: Can We Get an Arbitrary Ordering?, Vladik Kreinovich, Masao Mukaidono, and Krassimir Atanassov
Fuzzy Systems are Universal Approximators for a Smooth Function and its Derivatives, Vladik Kreinovich, Hung T. Nguyen, and Yeung Yam
An Optimality Criterion for Arithmetic of Complex Sets, Vladik Kreinovich and Juergen Wolff Von Gudenberg
Arithmetic of Complex Sets: Nickel's Classical Paper Revisited from a Geometric Viewpoint, Vladik Kreinovich and Juergen Wolff Von Gudenberg
Why Clustering in Function Approximation? Theoretical Explanation, Vladik Kreinovich and Yeung Yam
Fuzzy Logic in Non-Destructive Testing of Aerospace Structures, Murali Krishna, Vladik Kreinovich, and Roberto Osegueda
We Live in the Best of Possible Worlds: A Proof, Guoqing Liu and Vladik Kreinovich
Theoretical Explanation for the Empirical Probability Of Detection (POD) Curve: A Neural Network-Motivated Approach, Yohans Mendoza and Roberto Osegueda
Intervals is All We Need: An Argument, Masao Mukaidono, Yeung Yam, and Vladik Kreinovich
Chu Spaces: Towards New Foundations for Fuzzy Logic and Fuzzy Control, with Applications to Information Flow on the World Wide Web, Hung T. Nguyen, Vladik Kreinovich, and Guoqing Liu
Chu Spaces - a New Approach to Diagnostic Information Fusion, Hung T. Nguyen, Vladik Kreinovich, and Berlin Wu
Fuzzy/Probability ~ Fractal/Smooth, Hung T. Nguyen, Vladik Kreinovich, and Berlin Wu
A New Look at Fuzzy Theory via Chu Spaces, Hung T. Nguyen, Berlin Wu, and Vladik Kreinovich
On Combining Statistical and Fuzzy Techniques: Detection of Business Cycles from Uncertain Data, Hung T. Nguyen, Berlin Wu, and Vladik Kreinovich
Multi-Resolution Methods in Non-Destructive Testing of Aerospace Structures and in Medicine, Roberto Osegueda, Yohans Mendoza, Olga Kosheleva, and Vladik Kreinovich
System Reliability: A Case When Fuzzy Logic Enhances Probability Theory's Ability to Deal With Real-World Problems, Timothy J. Ross, Carlos M. Ferregut, Roberto Osegueda, and Vladik Kreinovich
Neural Network Approach to Speech Pathology, Antonio P. Salvatore, Nicole A. Thorne, and Charlotte M. Gross
Time-Bounded Kolmogorov Complexity May Help in Search for Extra Terrestrial Intelligence (SETI), Martin Schmidt
Kolmogorov Complexity-Based Ideas for Locating Text in Web Images, Martin Schmidt, Vladik Kreinovich, and Luc Longpre
A Geometric Approach to Classification of Trash in Ginned Cotton, Murali Siddaiah, Michael A. Lieberman, Nadipuram R. Prasad, and Vladik Kreinovich
Aerospace Applications of Soft Computing and Interval Computations (with an Emphasis on Multi-Spectral Satellite Imaging), Scott A. Starks and Vladik Kreinovich
Locating the Whole Pattern is Better than Locating its Pieces: A Geometric Explanation of an Empirical Phenomenon, Scott A. Starks and Vladik Kreinovich
Candidate Sets for Complex Interval Arithmetic, Juergen Wolff Von Gundenberg and Vladik Kreinovich
Interval Methods in Non-Destructive Testing of Material Structures, Keith Worden, Roberto A. Osegueda, Carlos M. Ferregut, Soheil Nazarian, Debra L. George, Mary J. George, Vladik Kreinovich, Olga Kosheleva, and Sergio Cabrera
Decision Making under Interval Probabilities, Ronald R. Yager and Vladik Kreinovich
Why Fundamental Physical Equations are of Second Order?, Takeshi Yamakawa and Vladik Kreinovich
Extending t-Norms Beyond [0,1]: Relevant Results of Semigroup Theory, Yeung Yam and Vladik Kreinovich
Extracting Fuzzy Sparse Rule Base by Cartesian Representation and Clustering, Yeung Yam, Vladik Kreinovich, and Hung T. Nguyen
Beyond [0,1] to Intervals and Further: Do We Need All New Fuzzy Values?, Yeung Yam, Masao Mukaidono, and Vladik Kreinovich
Multi-Resolution Techniques in the Rules-Based Intelligent Control Systems: A Universal Approximation Result, Yeung Yam, Hung T. Nguyen, and Vladik Kreinovich
Towards Faster, Smoother, and More Compact Fuzzy Approximation, with an Application to Non-Destructive Evaluation of Space Shuttle's Structural Integrity, Yeung Yam, Roberto Osegueda, and Vladik Kreinovich
Technical Reports from 1998
Towards Optimal Pain Relief: Acupuncture and Spinal Cord Stimulation, Richard Alo, Kenneth Alo, Obinna Ilochonwu, Vladik Kreinovich, and Hoang Phuong Nguyen
Run-Time Correctness Checking is Algorithmically Undecidable for Pointer Data Structures, Mikhail Auguston, Vladik Kreinovich, and Luc Longpre
A Variation on the Zero-One Law, Andreas Blass, Yuri Gurevich, Vladik Kreinovich, and Luc Longpre
Interval Image Classification is NP-Hard, Alejandro E. Brito and Vladik Kreinovich
ALPS: A Logic for Program Synthesis (Motivated by Fuzzy Logic), Daniel E. Cooke, Vladik Kreinovich, and Scott A. Starks
Towards Intelligent Virtual Environment for Teaching Telemanipulation Operators: Virtual Tool Approach and its Interval-Based Justification, L. Olac Fuentes and Vladik Kreinovich
Complex Problems: Granularity is Necessary, Granularity Helps, Oscar N. Garcia, Vladik Kreinovich, Luc Longpre, and Hung T. Nguyen
Kolmogorov Complexity Justifies Software Engineering Heuristics, Ann Q. Gates, Vladik Kreinovich, and Luc Longpre
OO or Not OO: When Object-Oriented is Better. Qualitative Analysis and Application to Satellite Image Processing, Ann Q. Gates, Leticia Sifuentes, and Scott A. Starks
Encryption Algorithms Made (Somewhat) More Natural (A Pedagogical Remark), Misha Kosheleva, Vladik Kreinovich, and Luc Longpre
Uncertainty Representation Explains and Helps Methodology of Physics and Science in General, Misha Kosheleva, Vladik Kreinovich, Hung T. Nguyen, and Bernadette Bouchon-Meunier
Towards the Use of Aesthetics in Decision Making: Kolmogorov Complexity Formalizes Birkhoff's Idea, Misha Kosheleva, Vladik Kreinovich, and Yeung Yam
Case Study of Non-Linear Inverse Problems: Mammography and Non-Destructive Evaluation, Olga Kosheleva, S. Cabrera, Roberto A. Osegueda, Carlos M. Ferregut, Soheil Nazarian, M. J. George, Vladik Kreinovich, and K. Worden
Operations with Fuzzy Numbers Explain Heuristic Methods in Image Processing, Olga Kosheleva, Vladik Kreinovich, Bernadette Bouchon-Meuiner, and Radko Mesiar