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Technical Reports from 2001

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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

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How to Make Sure that "~100" + 1 is ~100 in Fuzzy Arithmetic: Solution and its (Inevitable) Drawbacks, Vladik Kreinovich, Hung T. Nguyen, and Witold Pedrycz

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Aerospace Applications of Intervals: From Geospatial Data Processing to Fault Detection in Aerospace Structures, Vladik Kreinovich and Scott A. Starks

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Towards More Realistic (e.g., Non-Associative) And- and Or-Operations in Fuzzy Logic, Jesus Martinez, Leopoldo Macias, Ammar Esper, Jesus Chaparro, Vick Alvarado, Scott A. Starks, and Vladik Kreinovich

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Why Unary and Binary Operations in Logic: General Result Motivated by Interval-Valued Logics, Hung T. Nguyen, Vladik Kreinovich, and I. R. Goodman

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Second-Order Uncertainty as a Bridge Between Probabilistic and Fuzzy Approaches, Hung T. Nguyen, Vladik Kreinovich, and Luc Longpre

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Hyperbolic Approach to Fuzzy Control is Optimal, Hung T. Nguyen, Vladik Kreinovich, Michael Margaliot, and Gideon Langholtz

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Which Truth Values in Fuzzy Logics are Definable?, Hung T. Nguyen, Vladik Kreinovich, and Antonio Di Nola

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Towards Fusing Sophisticated Mathematical Knowledge and Informal Expert Knowledge: An Arbitrary Metric Can Be Naturally Interpreted in Fuzzy Terms, Hung T. Nguyen, Vladik Kreinovich, and Witold Pedrycz

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Statistical and Dempster-Shafer Techniques in Testing Structural Integrity of Aerospace Structures, Roberto A. Osegueda, Seetharami R. Seelam, Ana C. Holguin, Vladik Kreinovich, Chin-Wang Tao, and Hung T. Nguyen

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A New Derivation of Centroid Defuzzification, Mourad Oussalah, Hung T. Nguyen, and Vladik Kreinovich

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Reduction to Independent Variables: From Normal Distribution to General Statistical Case to Fuzzy, Mourad Oussalah, Hung T. Nguyen, and Vladik Kreinovich

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Assessing the Predictive Accuracy of Complex Simulation Models, Timothy Ross, Vladik Kreinovich, and Cliff Joslyn

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Logic-Motivated Choice of Fuzzy Logic Operators, Pratit Santiprabhob, Hung T. Nguyen, Witold Pedrycz, and Vladik Kreinovich

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Automatic Referencing of Satellite and Radar Images, Sreenath Srikrishnan, Roberto Araiza, Hongjie Xie, Scott A. Starks, and Vladik Kreinovich

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2-D Analogues of Allen Interval Algebra for Image Analysis: Towards Justification, Scott A. Starks, Dima Iourinski, and Vladik Kreinovich

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From Planning to Searching for the Shortest Plan: An Optimal Transition, Raul A. Trejo, Joel Galloway, Charanjiv Sachar, Vladik Kreinovich, Chitta Baral, and Le Chi Tuan

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Computing the Shape of the Image of a Multi-Linear Mapping is Possible but Computationally Intractable: Theorems, Raul A. Trejo and Vladik Kreinovich

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A Realistic (Non-Associative) Logic and a Possible Explanations of 7+-2 Law, Raul A. Trejo, Vladik Kreinovich, I. R. Goodman, Jesus Martinez, and Reginaldo Gonzalez

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On Fusion of Soft and Hard Computing: Traditional ("Hard Computing") Optimal Rescaling Techniques Simplify Fuzzy Control, Hugh F. VanLandingham and Vladik Kreinovich

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Computational Complexity of Optimization and Crude Range Testing: A New Approach Motivated by Fuzzy Optimization, G. William Walster and Vladik Kreinovich

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Towards Automatic Detection of Erroneous Measurement Results in a Gravity Database, Qian Wen, Ann Q. Gates, Jan Beck, Vladik Kreinovich, and George R. Keller

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Localized Regression Analysis as a Method for Detecting Erroneous Measurements in Geospatial Databases, with Application to Gravity Databases, Qian Wen, Nigel Hicks, George R. Keller, Ann Q. Gates, and Vladik Kreinovich