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Technical Reports from 2002

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Computational Complexity of Planning with Discrete Time and Continuous State Variables, Chitta Baral and Vladik Kreinovich

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Designing Interdisciplinary Approaches to Problem Solving into Computer Languages, Daniel E. Cooke, Vladik Kreinovich, and Joseph E. Urban

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Exact Bounds on Sample Variance of Interval Data, Scott Ferson, Lev Ginzburg, Vladik Kreinovich, and Monica Aviles

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Computing Variance for Interval Data is NP-Hard, Scott Ferson, Lev Ginzburg, Vladik Kreinovich, Luc Longpre, and Monica Aviles

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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

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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

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On the Optimal Choice of Quality Metric in Image Compression, Olga Kosheleva, Vladik Kreinovich, and Yeung Yam

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Range Estimation is NP-Hard for Epsilon-Square Accuracy and Feasible for Epsilon to the Power of 2-Delta, Vladik Kreinovich

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Towards More Realistic (e.g., Non-Associative) And- and Or-Operations in Fuzzy Logic, Vladik Kreinovich

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Interval Mathematics for Analysis of Multiresolutional Systems, Vladik Kreinovich and Richard Alo

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Optimization Techniques under Uncertain Criteria, and Their Possible Use in Computerized Education, Vladik Kreinovich and Richard Alo

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Was There Satan's Face in the World Trade Center Fire? A Geometric Analysis, Vladik Kreinovich and Dima Iourinski

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Kolmogorov Complexity and Chaotic Phenomena, Vladik Kreinovich and Isaak A. Kunin

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Why is Selecting the Simplest Hypothesis (Consistent with Data) a Good Idea? A Simple Explanation, Vladik Kreinovich, Luc Longpre, Scott Ferson, and Lev Ginzburg

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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

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Intelligent Techologies, Vladik Kreinovich, Hung T. Nguyen, Nadipuram S. Prasad, and Pratit Santiprabhob

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Why Benchmarking is an (Asymptotically) Optimal Approach to Numerical Methods: A Geombinatoric Proof, Vladik Kreinovich and Scott A. Starks

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Open-Ended Configurations of Radio Telescopes: Geometrical Analysis, Vladik Kreinovich, Scott A. Starks, Dima Iourinski, Olga Kosheleva, and Andrei Finkelstein

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Open-Ended Configurations of Radio Telescopes: Towards Optimal Design, Vladik Kreinovich, Scott A. Starks, Olga Kosheleva, and Andrei Finkelstein

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Interval Computations Related to Privacy in Statistical Databases, Luc Longpre and Vladik Kreinovich

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Fuzzy Measures and Integrals as Aggregation Operators: Solving the Commensurability Problem, Francois Modave and Vladik Kreinovich

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From [0,1]-Based Logic to Interval Logic (From Known Description of All Possible [0,1]-Based Logical Operations to a Description of All Possible Interval-Based Logical Operations), Hung T. Nguyen and Vladik Kreinovich

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On Efficient Representation of Expert Knowledge by Fuzzy Logic: Towards an Optimal Combination of Granularity and Higher-Order Approaches, Hung T. Nguyen and Vladik Kreinovich

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Probability of Implication, Logical Version of Bayes Theorem, and Fuzzy Logic Operations, Hung T. Nguyen, Masao Mukaidono, and Vladik Kreinovich

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Research on Advanced Soft Computing and its Applications (Introduction to the Special Issue), Vilem Novak, Irina Perfilieva, Hung T. Nguyen, and Vladik Kreinovich

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Detecting and Locating Curved Cracks in Thin Plates by Lamb Wave Reflection: Validated Geometric Approach, Roberto A. Osegueda and Vladik Kreinovich

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Non-Destructive Testing of Aerospace Structures: Granularity and Data Mining Approach, Roberto Osegueda, Vladik Kreinovich, Lakshmi Potluri, and Richard Alo

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Use of Satellite Image Referencing Algorithms to Characterize Asphaltic Concrete Mixtures, Scott A. Starks, Soheil Nazarian, Vladik Kreinovich, and Joseph Adidhela

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Selecting a Fuzzy Logic Operation from the DNF-CNF Interval: How Practical are the Resulting Operations?, I. B. Turksen, A. Esper, K. Patel, Scott A. Starks, and Vladik Kreinovich

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An IDL/ENVI Implementation of the FFT Based Algorithm for Automatic Image Registration, Hongjie Xie, Nigel Hicks, George R. Keller, Haitao Huang, and Vladik Kreinovich

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Main Ideas Behind OWA Lead to a Universal and Optimal Approximation Scheme, Ronald R. Yager and Vladik Kreinovich

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Universal Approximation Theorem for Uninorm-Based Fuzzy Systems Modeling, Ronald R. Yager and Vladik Kreinovich

Technical Reports from 2001

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Can Computers Do the Job of Nobelist Physicists? Planck Formula Revisited, Richard Alo, Raul Trejo, and Vladik Kreinovich

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Computational Complexity of Planning with Temporal Goals, Chitta Baral, Vladik Kreinovich, and Raul A. Trejo

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The Prospect for Answer Sets Computation by a Genetic Model, A. Bertoni, G. Grossi, A. Provetti, Vladik Kreinovich, and L. Tari

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Non-Associative Operations, Bernadette Bouchon-Meunier, Vladik Kreinovich, and Hung T. Nguyen

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Discrete (Set) Derivatives and "Algebraic" Fuzzy Logic Operations, Bernadette Bouchon-Meunier, Hung T. Nguyen, and Vladik Kreinovich

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Interval Methods in Remote Sensing: Reliable Sub-Division of Geological Areas, David D. Coblentz, George R. Keller, Vladik Kreinovich, Jan Beck, and Scott A. Starks

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Automatic Concurrency in SequenceL, Daniel E. Cooke and Vladik Kreinovich

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What is the Best Way to Draw a Cube? a Hypercube?, Brian D'Auriol, Vladik Kreinovich, Bindu George, Florence Muganda, and Pramod Kumar Chikkpaiah

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How to Interpret Neural Networks in Terms of Fuzzy Logic?, Sompong Dhompongsa, Vladik Kreinovich, and Hung T. Nguyen

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Interval Mathematics: Algebraic Aspects, Sompong Dhompongsa, Vladik Kreinovich, and Hung T. Nguyen

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Interval Computations as a Particular Case of a General Scheme Involving Classes of Probability Distributions, Scott Ferson, Lev Ginzburg, Vladik Kreinovich, and Harry Schulte

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Representation, Elicitation, and Aggregation of Uncertainty in Risk Analysis - from Traditional Probabilistic Techniques to More General, More Realistic Approaches: A Survey, Scott Ferson and Vladik Kreinovich

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An Even More Realistic (Non-Associative) Interval Logic and its Relation to Psychology of Human Reasoning, I. R. Goodman, Raul Trejo, Vladik Kreinovich, Jesus Martinez, and Reginaldo Gonzalez

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Theoretical Justification of a Heuristic Subbox Selection Criterion, Vladik Kreinovich and Tibor Csendes

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A Statistical Analysis for Rule Base Reduction, Vladik Kreinovich, Claude Langrand, and Hung T. Nguyen

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Combining Fuzzy and Probabilistic Knowledge Using Belief Functions, Vladik Kreinovich, Claude Langrand, and Hung T. Nguyen

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Constrained Fuzzy Arithmetic, Vladik Kreinovich, Mirko Navara, and Zdenek Zabokrtsky

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1st Order, 2nd Order, What Next? Do We Really Need Third-Order Descriptions: A View from a Realistic (Granular) Viewpoint, Vladik Kreinovich and Hung T. Nguyen