Interval / Probabilistic Uncertainty and Non-classical Logics

Most successful applications of modern science and engineering, from discovering the human genome to predicting weather to controlling space missions, involve processing large amounts of data and large knowledge bases. The ability of computers to perform fast data and knowledge processing is based on the hardware support for super-fast elementary computer operations, such as performing arithmetic operations with (exactly known) numbers and performing logical operations with binary ("true"-"false") logical values. In practice, measurements are never 100% accurate. It is therefore necessary to find out how this input inaccuracy (uncertainty) affects the results of data processing. Sometimes, we know the corresponding probability distribution; sometimes, we only know the upper bounds on the measurement error -- which leads to interval bounds on the (unknown) actual value. Also, experts are usually not 100% certain about the statements included in the knowledge bases. A natural way to describe this uncertainty is to use non-classical logics (probabilistic, fuzzy, etc.).

"Part I Keynote Addresses.- Part II Statistics under Interval Uncertainty and Imprecise Probability.- Part III Uncertainty Modelling and Reasoning in Knowledge-Based Systems.- Part IV Rough Sets and Belief Functions.- Part V Non-Classical Logics.- Part VI Fuzziness and Uncertainty Analysis in Applications."

Keynote Addresses.- An Algebraic Approach to Substructural Logics - An Overview.- On Modeling of Uncertainty Measures and Observed Processes.- Statistics under Interval Uncertainty and Imprecise Probability.- Fast Algorithms for Computing Statistics under Interval Uncertainty: An Overview.- Trade-Off between Sample Size and Accuracy: Case of Static Measurements under Interval Uncertainty.- Trade-Off between Sample Size and Accuracy: Case of Dynamic Measurements under Interval Uncertainty.- Estimating Quality of Support Vector Machines Learning under Probabilistic and Interval Uncertainty: Algorithms and Computational Complexity.- Imprecise Probability as an Approach to Improved Dependability in High-Level Information Fusion.- Uncertainty Modelling and Reasoning in Knowledge-Based Systems.- Label Semantics as a Framework for Granular Modelling.- Approximating Reasoning for Fuzzy-Based Information Retrieval.- Probabilistic Constraints for Inverse Problems.- The Evidential Reasoning Approach for Multi-attribute Decision Analysis under Both Fuzzy and Interval Uncertainty.- Modelling and Computing with Imprecise and Uncertain Properties in Object Bases.- Rough Sets and Belief Functions.- Several Reducts in Dominance-Based Rough Set Approach.- Topologies of Approximation Spaces of Rough Set Theory.- Uncertainty Reasoning in Rough Knowledge Discovery.- Semantics of the Relative Belief of Singletons.- A Lattice-Theoretic Interpretation of Independence of Frames.- Non-classical Logics.- Completions of Ordered Algebraic Structures: A Survey.- The Algebra of Truth Values of Type-2 Fuzzy Sets: A Survey.- Some Properties of Logic Functions over Multi-interval Truth Values.- Possible Semantics for a Common Framework of Probabilistic Logics.- A Unified Formulation of Deduction,Induction and Abduction Using Granularity Based on VPRS Models and Measure-Based Semantics for Modal Logics.- Information from Inconsistent Knowledge: A Probability Logic Approach.- Fuzziness and Uncertainty Analysis in Applications.- Personalized Recommendation for Traditional Crafts Using Fuzzy Correspondence Analysis with Kansei Data and OWA Operator.- A Probability-Based Approach to Consumer Oriented Evaluation of Traditional Craft Items Using Kansai Data.- Using Interval Function Approximation to Estimate Uncertainty.- Interval Forecasting of Crude Oil Price.- Automatic Classification for Decision Making of the Severeness of the Acute Radiation Syndrome.