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Technical Reports from 2000

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On Approximation of Fuzzy Sets by Crisp Sets: From Continuous Control-Oriented Defuzzification to Discrete Decision Making, Hung T. Nguyen, Witold Pedrycz, and Vladik Kreinovich

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Some Practical Applications of Soft Computing and Data Mining, Hung T. Nguyen, Nadipuram R. Prasad, Vladik Kreinovich, and Habib Gassoumi

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Shadows Of Fuzzy Sets - a Natural Approach Towards Describing 2-D and Multi-D Fuzzy Uncertainty in Linguistic Terms, Hung T. Nguyen, Berlin Wu, and Vladik Kreinovich

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Chu Spaces: Towards New Justification for Fuzzy Heuristics, Nhu Nguyen, Hung T. Nguyen, and Vladik Kreinovich

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Fuzzy (Granular) Levels of Quality, with Applications to Data Mining and to Structural Integrity of Aerospace Structures, Roberto A. Osegueda, Carlos Ferregut, Vladik Kreinovich, Seelam Seetharami, and Harry Schulte

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A New Universal Approximation Result for Fuzzy Systems, which Reflects CNF-DNF Duality, Irina Perfilieva and Vladik Kreinovich

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Fuzzy Logic and its Applications in Medicine, Nguyen Hoang Phuong and Vladik Kreinovich

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Optimal Elimination of Inconsistency in Expert Knowledge: Formulation of the Problem, Fast Algorithms, Timothy J. Ross, Berlin Wu, and Vladik Kreinovich

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Aerospace Applications of Soft Computing and Interval Computations (with an Emphasis on Simulation and Modeling), Scott A. Starks and Vladik Kreinovich

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Towards Feasible Approach to Plan Checking under Probabilistic Uncertainty: Interval Methods, Raul A. Trejo, Vladik Kreinovich, and Chitta Baral

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Choosing a Physical Model: Why Symmetries?, Raul A. Trejo, Vladik Kreinovich, and Luc Longpre

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Geombinatorics of "Smart Dust", Edward Vidal, Luc Longpre, Vladik Kreinovich, and Huang Haitao

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Asymptotically Optimal Algorithms for Weather Applications of Smart Dust, Edward Vidal, Luc Longpre, Vladik Kreinovich, Huang Haitao, and Yeung Yam

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

Technical Reports from 1999

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Towards Intelligent Virtual Environment for Training Medical Doctors in Surgical Pain Relief, Richard Alo, Kenneth Alo, and Vladik Kreinovich

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From Fuzzy Models to Fuzzy Control, Chitta Baral, Vladik Kreinovich, Hung T. Nguyen, and Yeung Yam

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Geombinatoric Aspects of Processing Large Images and Large Spatial Databases, Jan Beck, Vladik Kreinovich, and Brian Penn

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An Optimal FFT-Based Algorithm for Mosaicking Images, with Applications to Satellite Imaging and Web Search, Stephen Gibson, Olga Kosheleva, Luc Longpre, Brian Penn, and Scott A. Starks

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On Average Bit Complexity of Interval Arithmetic, Chadi Hamzo and Vladik Kreinovich

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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

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For Interval Computations, if Absolute-Accuracy Optimization is NP-Hard, then so is Relative-Accuracy Optimization, Vladik Kreinovich

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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

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Chu Spaces - a New Approach to Describing Uncertainty in Systems, Vladik Kreinovich, Guoqing Liu, and Hung T. Nguyen

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Intervals (Pairs of Fuzzy Values), Triples, etc.: Can We Thus Get an Arbitrary Ordering?, Vladik Kreinovich and Masao Mukaidono

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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

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Fuzzy Systems are Universal Approximators for a Smooth Function and its Derivatives, Vladik Kreinovich, Hung T. Nguyen, and Yeung Yam

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An Optimality Criterion for Arithmetic of Complex Sets, Vladik Kreinovich and Juergen Wolff Von Gudenberg

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Arithmetic of Complex Sets: Nickel's Classical Paper Revisited from a Geometric Viewpoint, Vladik Kreinovich and Juergen Wolff Von Gudenberg

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Why Clustering in Function Approximation? Theoretical Explanation, Vladik Kreinovich and Yeung Yam

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Fuzzy Logic in Non-Destructive Testing of Aerospace Structures, Murali Krishna, Vladik Kreinovich, and Roberto Osegueda

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We Live in the Best of Possible Worlds: A Proof, Guoqing Liu and Vladik Kreinovich

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Theoretical Explanation for the Empirical Probability Of Detection (POD) Curve: A Neural Network-Motivated Approach, Yohans Mendoza and Roberto Osegueda

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Intervals is All We Need: An Argument, Masao Mukaidono, Yeung Yam, and Vladik Kreinovich

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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

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Chu Spaces - a New Approach to Diagnostic Information Fusion, Hung T. Nguyen, Vladik Kreinovich, and Berlin Wu

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Fuzzy/Probability ~ Fractal/Smooth, Hung T. Nguyen, Vladik Kreinovich, and Berlin Wu

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A New Look at Fuzzy Theory via Chu Spaces, Hung T. Nguyen, Berlin Wu, and Vladik Kreinovich

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On Combining Statistical and Fuzzy Techniques: Detection of Business Cycles from Uncertain Data, Hung T. Nguyen, Berlin Wu, and Vladik Kreinovich

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Multi-Resolution Methods in Non-Destructive Testing of Aerospace Structures and in Medicine, Roberto Osegueda, Yohans Mendoza, Olga Kosheleva, and Vladik Kreinovich

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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

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Neural Network Approach to Speech Pathology, Antonio P. Salvatore, Nicole A. Thorne, and Charlotte M. Gross

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Time-Bounded Kolmogorov Complexity May Help in Search for Extra Terrestrial Intelligence (SETI), Martin Schmidt

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Kolmogorov Complexity-Based Ideas for Locating Text in Web Images, Martin Schmidt, Vladik Kreinovich, and Luc Longpre

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A Geometric Approach to Classification of Trash in Ginned Cotton, Murali Siddaiah, Michael A. Lieberman, Nadipuram R. Prasad, and Vladik Kreinovich

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Aerospace Applications of Soft Computing and Interval Computations (with an Emphasis on Multi-Spectral Satellite Imaging), Scott A. Starks and Vladik Kreinovich

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Locating the Whole Pattern is Better than Locating its Pieces: A Geometric Explanation of an Empirical Phenomenon, Scott A. Starks and Vladik Kreinovich

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Candidate Sets for Complex Interval Arithmetic, Juergen Wolff Von Gundenberg and Vladik Kreinovich

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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

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Decision Making under Interval Probabilities, Ronald R. Yager and Vladik Kreinovich

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Why Fundamental Physical Equations are of Second Order?, Takeshi Yamakawa and Vladik Kreinovich