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Technical Reports from 1999

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Extending t-Norms Beyond [0,1]: Relevant Results of Semigroup Theory, Yeung Yam and Vladik Kreinovich

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Extracting Fuzzy Sparse Rule Base by Cartesian Representation and Clustering, Yeung Yam, Vladik Kreinovich, and Hung T. Nguyen

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Beyond [0,1] to Intervals and Further: Do We Need All New Fuzzy Values?, Yeung Yam, Masao Mukaidono, and Vladik Kreinovich

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Multi-Resolution Techniques in the Rules-Based Intelligent Control Systems: A Universal Approximation Result, Yeung Yam, Hung T. Nguyen, and Vladik Kreinovich

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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

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Towards Optimal Pain Relief: Acupuncture and Spinal Cord Stimulation, Richard Alo, Kenneth Alo, Obinna Ilochonwu, Vladik Kreinovich, and Hoang Phuong Nguyen

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Run-Time Correctness Checking is Algorithmically Undecidable for Pointer Data Structures, Mikhail Auguston, Vladik Kreinovich, and Luc Longpre

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A Variation on the Zero-One Law, Andreas Blass, Yuri Gurevich, Vladik Kreinovich, and Luc Longpre

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Interval Image Classification is NP-Hard, Alejandro E. Brito and Vladik Kreinovich

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ALPS: A Logic for Program Synthesis (Motivated by Fuzzy Logic), Daniel E. Cooke, Vladik Kreinovich, and Scott A. Starks

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Towards Intelligent Virtual Environment for Teaching Telemanipulation Operators: Virtual Tool Approach and its Interval-Based Justification, L. Olac Fuentes and Vladik Kreinovich

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Complex Problems: Granularity is Necessary, Granularity Helps, Oscar N. Garcia, Vladik Kreinovich, Luc Longpre, and Hung T. Nguyen

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Kolmogorov Complexity Justifies Software Engineering Heuristics, Ann Q. Gates, Vladik Kreinovich, and Luc Longpre

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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

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Encryption Algorithms Made (Somewhat) More Natural (A Pedagogical Remark), Misha Kosheleva, Vladik Kreinovich, and Luc Longpre

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Uncertainty Representation Explains and Helps Methodology of Physics and Science in General, Misha Kosheleva, Vladik Kreinovich, Hung T. Nguyen, and Bernadette Bouchon-Meunier

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Towards the Use of Aesthetics in Decision Making: Kolmogorov Complexity Formalizes Birkhoff's Idea, Misha Kosheleva, Vladik Kreinovich, and Yeung Yam

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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

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Operations with Fuzzy Numbers Explain Heuristic Methods in Image Processing, Olga Kosheleva, Vladik Kreinovich, Bernadette Bouchon-Meuiner, and Radko Mesiar

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On Geometry of Radio Antenna Placements, Olga Kosheleva, Vladik Kreinovich, Andrei M. Finkelstein, and Steve Chan

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How to Describe Partially Ordered Preferences: Mathematical Foundations, Olga Kosheleva, Vladik Kreinovich, Hung T. Nguyen, and Bernadette Bouchon-Meunier

A Simplified Version of the Tomography Problem Can Help to Estimate the Errors of Indirect Measurements, Vladik Kreinovich

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Beyond Interval Systems: What is Feasible and What is Algorithmically Solvable?, Vladik Kreinovich

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From Semi-Heuristic Fuzzy Techniques to Optimal Fuzzy Methods: Mathematical Foundations and Applications, Vladik Kreinovich

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Interval Computations, Soft Computing, and Aerospace Applications, Vladik Kreinovich

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Telemanipulation: The Virtual Tool Approach and its Interval-Based Justification, Vladik Kreinovich and Luic Olac Fuentes

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Cooperative Learning is Better: Explanation Using Dynamical Systems, Fuzzy Logic, and Geometric Symmetries, Vladik Kreinovich, Edye Johnson-Holubec, Leonid K. Reznik, and Misha Kosheleva

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Where to Bisect a Box? A Theoretical Explanation of the Experimental Results, Vladik Kreinovich and R. Baker Kearfott

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Human Visual Perception and Kolmogorov Complexity: Revisited, Vladik Kreinovich and Luc Longpre

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Kolmogorov Complexity, Statistical Regularization of Inverse Problems, and Birkhoff's Formalization Of Beauty, Vladik Kreinovich, Luc Longpre, and Misha Kosheleva

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Towards Formalization of Feasibility, Randomness, and Commonsense Implication: Kolmogorov Complexity, and the Necessity of Considering (Fuzzy) Degrees, Vladik Kreinovich, Luc Longpre, and Hung T. Nguyen

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Decision Making Based on Satellite Images: Optimal Fuzzy Clustering Approach, Vladik Kreinovich, Hung T. Nguyen, Scott A. Starks, and Yeung Yam

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Justification of Heuristic Methods in Data Processing Using Fuzzy Theory, with Applications to Detection of Business Cycles from Fuzzy Data, Vladik Kreinovich, Hung T. Nguyen, and Berlin Wu

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Fuzzy Justification of Heuristic Methods in Inverse Problems and in Numerical Computations, with Applications to Detection of Business Cycles from Fuzzy and Intuitionistic Fuzzy Data, Vladik Kreinovich, Hung T. Nguyen, Berlin Wu, and Krassimir T. Atanassov

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Optimal Choices of Potential Functions in Fuzzy Clustering, Vladik Kreinovich, Hung T. Nguyen, and Yeung Yam

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An Operationalistic Reformulation of Einstein's Equivalence Principle, Vladik Kreinovich and R. R. Zapatrine

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NP-Hardness in Geometric Construction Problems with One Interval Parameter, Nuria Mata and Vladik Kreinovich

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Towards Foundations for Traditional Oriental Medicine, Hoang Phuong Nguyen, Scott A. Starks, and Vladik Kreinovich

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Computational Complexity and Feasibility of Fuzzy Data Processing: Why Fuzzy Numbers, Which Fuzzy Numbers, Which Operations with Fuzzy Numbers, Hung T. Nguyen, Misha Kosheleva, Olga Kosheleva, Vladik Kreinovich, and Radko Mesiar

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A Modification of Sugeno Integral Describes Stability and Smoothness of Fuzzy Control, Hung T. Nguyen and Vladik Kreinovich

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How to Divide a Territory? A New Simple Differential Formalism for Optimization of Set Functions, Hung T. Nguyen and Vladik Kreinovich

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Possible New Directions in Mathematical Foundations of Fuzzy Technology: A Contribution to the Mathematics of Fuzzy Theory, Hung T. Nguyen and Vladik Kreinovich

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Adding Fuzzy Integral to Fuzzy Control, Hung T. Nguyen, Vladik Kreinovich, and Richard Alo

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Towards Combining Fuzzy and Logic Programming Techniques, Hung T. Nguyen, Vladik Kreinovich, Daniel E. Cooke, Luqi, and Olga Kosheleva

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Ordinal Explanation of the Periodic System of Chemical Elements, Eric R. Scerri, Vladik Kreinovich, Piotr Wojciechowski, and Ronald R. Yager

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Multi-Spectral Inverse Problems in Satellite Image Processing, Scott A. Starks and Vladik Kreinovich

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Strong Negation: Its Relation to Intervals and its Use in Expert Systems, Scott A. Starks, Vladik Kreinovich, Hung T. Nguyen, Hoang Phuong Nguyen, and Mirko Navara

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Application of Kolmogorov Complexity to Image Compression: It is Possible to Have a Better Compression, but It is Not Possible to Have the Best One, Sanjeev Subbaramu, Ann Q. Gates, and Vladik Kreinovich

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Complexity of Collective Decision Making Explained by Neural Network Universal Approximation Theorem, Raul A. Trejo and Vladik Kreinovich

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Interval Approach to Non-Destructive Testing of Aerospace Structures and to Mammography, Keith Worden, Roberto A. Osegueda, Carlos M. Ferregut, Soheil Nazarian, Eulalio Rodriguez, Debra L. George, Mary J. George, Vladik Kreinovich, Olga Kosheleva, and Sergio Cabrera