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Technical Reports from 2010

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Adding Constraints -- A (Seemingly Counterintuitive but) Useful Heuristic in Solving Difficult Problems, Olga Kosheleva, Martine Ceberio, and Vladik Kreinovich

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Why Polynomial Formulas in Soft Computing, Decision Making, etc.?, Olga Kosheleva, Martine Ceberio, and Vladik Kreinovich

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Cantor's Paradise Regained: Constructive Mathematics from Brouwer to Kolmogorov to Gelfond, Vladik Kreinovich

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Expanding Algorithmic Randomness to the Algebraic Approach to Quantum Physics: Kolmogorov Complexity and Quantum Logics, Vladik Kreinovich

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From Computing Sets of Optima, Pareto Sets, and Sets of Nash Equilibria to General Decision-Related Set Computations, Vladik Kreinovich

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From Interval and Probabilistic Granules to Granules of Higher Order, Vladik Kreinovich

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Metrization Theorem for Space-Times: From Urysohn's Problem Towards Physically Useful Constructive Mathematics, Vladik Kreinovich

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Efficient Algorithms for Heavy-Tail Analysis under Interval Uncertainty, Vladik Kreinovich, Monchaya Chiangpradit, and Wararit Panichkitkosolkul

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Constraint-Related Reinterpretation of Fundamental Physical Equations Can Serve as a Built-In Regularization, Vladik Kreinovich, Juan Ferret, and Martine Ceberio

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Towards a More Adequate Defuzzification of Interval-Valued Fuzzy Sets, Vladik Kreinovich, Van Nam Huynh, and Yoshiteru Nakamori

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Towards a Natural Proof of Metrization Theorem for Space-Times, Vladik Kreinovich and Olga Kosheleva

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Spatial Resolution for Processing Seismic Data: Type-2 Methods for Finding the Relevant Granular Structure, Vladik Kreinovich, Jaime Nava, Rodrigo Romero, Julio Olaya, Aaron A. Velasco, and Kate C. Miller

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How to Bargain: An Interval Approach, Vladik Kreinovich, Hung T. Nguyen, and Songsak Sriboonchitta

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Estimating Information Amount under Uncertainty: Algorithmic Solvability and Computational Complexity, Vladik Kreinovich and Gang Xiang

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How to Define a Confidence Set for Functions: A New Justification of the Area Method, Vladik Kreinovich, Gang Xiang, and Michael Oberguggenberger

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Universal Approximation with Uninorm-Based Fuzzy Neural Networks, Andre Lemos, Vladik Kreinovich, Walmir Caminhas, and Fernando Gomide

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Towards Optimal Sensor Placement in Multi-Zone Measurements, Octavio Lerma, Craig Tweedie, and Vladik Kreinovich

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From Single to Double Use Expressions, with Applications to Parametric Interval Linear Systems: On Computational Complexity of Fuzzy and Interval Computations, Joseph A Lorkowski

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Computing Standard-Deviation-to-Mean and Variance-to-Mean Ratios under Interval Uncertainty Is NP-Hard, Sio-Long Lo

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Computing the Range of Variance-to-Mean Ratio under Interval and Fuzzy Uncertainty, Sio-Long Lo and Gang Xiang

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How to Relate Fuzzy and OWA Estimates, Tanja Magoc and Vladik Kreinovich

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Uncertainty in Partially Ordered Sets as a Natural Generalization of Intervals: Negative Information Is Sufficient, Positive Is Not, David Mireles and Olga Kosheleva

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Towards Chemical Applications of Dempster-Shafer-Type Approach: Case of Variant Ligands, Jaime Nava

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Why Feynman Path Integration?, Jaime Nava, Juan Ferret, Vladik Kreinovich, Gloria Berumen, Sandra Griffin, and Edgar Padilla

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Equivalence of Gian-Carlo Rota Poset Approach and Taylor Series Approach Extended to Variant Ligands, Jaime Nava and Vladik Kreinovich