Technical Reports from 2001
How to Interpret Neural Networks in Terms of Fuzzy Logic?, Sompong Dhompongsa, Vladik Kreinovich, and Hung T. Nguyen
Interval Mathematics: Algebraic Aspects, Sompong Dhompongsa, Vladik Kreinovich, and Hung T. Nguyen
Interval Computations as a Particular Case of a General Scheme Involving Classes of Probability Distributions, Scott Ferson, Lev Ginzburg, Vladik Kreinovich, and Harry Schulte
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
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
Theoretical Justification of a Heuristic Subbox Selection Criterion, Vladik Kreinovich and Tibor Csendes
A Statistical Analysis for Rule Base Reduction, Vladik Kreinovich, Claude Langrand, and Hung T. Nguyen
Combining Fuzzy and Probabilistic Knowledge Using Belief Functions, Vladik Kreinovich, Claude Langrand, and Hung T. Nguyen
Constrained Fuzzy Arithmetic, Vladik Kreinovich, Mirko Navara, and Zdenek Zabokrtsky
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
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
Aerospace Applications of Intervals: From Geospatial Data Processing to Fault Detection in Aerospace Structures, Vladik Kreinovich and Scott A. Starks
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
Why Unary and Binary Operations in Logic: General Result Motivated by Interval-Valued Logics, Hung T. Nguyen, Vladik Kreinovich, and I. R. Goodman
Second-Order Uncertainty as a Bridge Between Probabilistic and Fuzzy Approaches, Hung T. Nguyen, Vladik Kreinovich, and Luc Longpre
Hyperbolic Approach to Fuzzy Control is Optimal, Hung T. Nguyen, Vladik Kreinovich, Michael Margaliot, and Gideon Langholtz
Which Truth Values in Fuzzy Logics are Definable?, Hung T. Nguyen, Vladik Kreinovich, and Antonio Di Nola
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
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
A New Derivation of Centroid Defuzzification, Mourad Oussalah, Hung T. Nguyen, and Vladik Kreinovich
Reduction to Independent Variables: From Normal Distribution to General Statistical Case to Fuzzy, Mourad Oussalah, Hung T. Nguyen, and Vladik Kreinovich
Assessing the Predictive Accuracy of Complex Simulation Models, Timothy Ross, Vladik Kreinovich, and Cliff Joslyn
Logic-Motivated Choice of Fuzzy Logic Operators, Pratit Santiprabhob, Hung T. Nguyen, Witold Pedrycz, and Vladik Kreinovich
Automatic Referencing of Satellite and Radar Images, Sreenath Srikrishnan, Roberto Araiza, Hongjie Xie, Scott A. Starks, and Vladik Kreinovich
2-D Analogues of Allen Interval Algebra for Image Analysis: Towards Justification, Scott A. Starks, Dima Iourinski, and Vladik Kreinovich
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
Computing the Shape of the Image of a Multi-Linear Mapping is Possible but Computationally Intractable: Theorems, Raul A. Trejo and Vladik Kreinovich
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
On Fusion of Soft and Hard Computing: Traditional ("Hard Computing") Optimal Rescaling Techniques Simplify Fuzzy Control, Hugh F. VanLandingham and Vladik Kreinovich
Computational Complexity of Optimization and Crude Range Testing: A New Approach Motivated by Fuzzy Optimization, G. William Walster and Vladik Kreinovich
Towards Automatic Detection of Erroneous Measurement Results in a Gravity Database, Qian Wen, Ann Q. Gates, Jan Beck, Vladik Kreinovich, and George R. Keller
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
Technical Reports from 2000
A Comment on The Shape of The Solution Set for Systems of Interval Linear Equations with Dependent Coefficients, Goetz Alefeld, Vladik Kreinovich, Guenter Mayer, and Michael Huth
Computational Complexity of Planning and Approximate Planning in Presence of Incompleteness, Chitta Baral, Vladik Kreinovich, and Raul Trejo
Computational Complexity of Planning, Diagnosis, and Diagnostic Planning in the Presence of Static Causal Laws, Chitta Baral, Le Chi Tuan, and Vladik Kreinovich
Computational Complexity of Planning Based on Partial Information about the System's Present and Past States, Chitta Baral, Le Chi Tuan, Raul A. Trejo, and Vladik Kreinovich
Which Sensor Set is Better for Monitoring Spacecraft Subsystems? A Geometric Answer and its Probabilistic Generalization, Matthew Barry and Vladik Kreinovich
Towards Reliable Sub-Division of Geological Areas: Interval Approach, David D. Coblentz, Vladik Kreinovich, Brian S. Penn, and Scott A. Starks
Aircraft Integrity and Reliability, Carlos M. Ferregut, Roberto A. Osegueda, Yohanz Mendoza, Vladik Kreinovich, and Timothy J. Ross
Towards Optimal Mosaicking of Multi-Spectral Images, Francisco Garcia, Roberto Araiza, and Brain Rzycki
Strassen's Algorithm Made (Somewhat) More Natural: A Pedagogical Remark, Ann Q. Gates and Vladik Kreinovich
Intelligent Mining in Image Databases, with Applications to Satellite Imaging and to Web Search, Stephen Gibson, Vladik Kreinovich, Luc Longpre, Brian Penn, and Scott A. Starks
On Representation and Approximation of Operations in Boolean Algebras, I. R. Goodman and Vladik Kreinovich
A New Graph Characteristic and its Application to Numerical Computability, Frank Harary, Vladik Kreinovich, and Luc Longpre
On the Optimal Choice of Quality Metric in Image Compression, Olga Kosheleva, Vladik Kreinovich, and Yeung Yam
Allowing Two Moves in Succession Increases the Game's Bias: A Theorem, Vladik Kreinovich
Fundamental Properties of Pair-Wise Interactions Naturally Lead to Quarks and Quark Confinement: A Theorem Motivated by Neural Universal Approximation Results, Vladik Kreinovich
Itanium's New Basic Operation of Fused Multiply-Add: Theoretical Explanation and Theoretical Challenge, Vladik Kreinovich
On Granularity in Fuzzy Logic: Minimum and Maximum are the Only Absolutely Granular t-Norm and t-Conorm, Vladik Kreinovich and Bernadette Bouchon-Meunier
How Important is Theory for Practical Problems? A Partial Explanation of Hartmanis' Observation, Vladik Kreinovich and Luc Longpre