Fuzzy and Rough Sets’ Theoretical and Practical Aspects.- Missing Value Semantics and Absent Value Semantics for Incomplete Information in Object-Oriented Rough Set Models.- Similarities for Crisp and Fuzzy Probabilistic Expert Systems.- An Efficient Image Retrieval System Using Ordered Weighted Aggregation.- Entropy and Co–entropy of Partitions and Coverings with Applications to Roughness Theory.- Patterns of Collaborations in Rough Set Research.- Visualization of Local Dependencies of Possibilistic Network Structures.- Two Fuzzy-Set Models for the Semantics of Linguistic Negations.- A Coevolutionary Approach to Solve Fuzzy Games.- Rough Set Approach to Video Deinterlacing Systems.- Fuzzy and Rough Sets in Machine Learning and Data Mining.- Learning Membership Functions for an Associative Fuzzy Neural Network.- An Incremental Clustering Method and Its Application in Online Fuzzy Modeling.- Fuzzy Approach of Synonymy and Polysemy for Information Retrieval.- Rough Set Theory Measures for Quality Assessment of a Training Set.- A Machine Learning Investigation of a Beta-Carotenoid Dataset.- Rough Text Assisting Text Mining: Focus on Document Clustering Validity.- Construction of Rough Set-Based Classifiers for Predicting HIV Resistance to Nucleoside Reverse Transcriptase Inhibitors.- Fuzzy and Rough Sets in Decision-Making.- Rough Set Approach to Information Systems with Interval Decision Values in Evaluation Problems.- Fuzzy Rule-Based Direction-Oriented Resampling Algorithm in High Definition Display.- RSGUI with Reverse Prediction Algorithm.- An Algorithm for the Shortest Path Problem on a Network with Fuzzy Parameters Applied to a Tourist Problem.- PID Control with Fuzzy Adaptation of a Metallurgical Furnace.

Since their very inception, both fuzzy and rough set theories have earned a sound, well-deserved reputation owing to their intrinsic capabilities to model uncertainty coming from the real world. The increasing amount of investigations on both subjects reported every year in the literature vouches for the dynamics of the area and its rapid advancements. In the last few years the widespread utilization of fuzzy and rough sets as granulation sources has contributed to lay both methodologies in a privileged position within Granular Computing, thus giving rise to a sort a modeling which is far closer to the way human beings perceive their environment – via granulated knowledge. This volume is a compilation of the best papers presented at the First International Symposium on Fuzzy and Rough Sets (ISFUROS 2006) held in Santa Clara, Cuba. You will therefore find valuable contributions both in the theoretical field as in several application domains such as intelligent control, data analysis, decision making and machine learning, just to name a few. Together, they will catch you up with the huge potential of the aforementioned methodologies.

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