Transactions on Rough Sets XV
Published on 9. July 2012
IX, 181 pages
978-3-642-31903-7 (ISBN)
Description
The LNCS journal Transactions on Rough Sets is devoted to the entire spectrum of rough sets related issues, from logical and mathematical foundations, through all aspects of rough set theory and its applications, such as data mining, knowledge discovery, and intelligent information processing, to relations between rough sets
and other approaches to uncertainty, vagueness, and incompleteness, such as fuzzy sets and theory of evidence.
Volume XV offers a number of research streams that have grown out of the seminal work by Zdzislaw Pawlak. The 4 contributions included in this volume presents a rough set approach in machine learning; the introduction of multi-valued near set theory; the advent of a complete system that supports a rough-near set approach to digital image analysis; and an exhaustive study of the mathematics of vagueness.
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James F. Peters | Andrzej Skowron
Transactions on Rough Sets XV
Book
07/2012
Springer
€53.49
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Content
- Title Page
- Preface
- Organizations
- Table of Contents
- Dynamic Rule-Based Similarity Modelfor DNA Microarray Data
- Introduction
- Preliminaries
- Similarity and Its Properties
- Motivations for Rule-Based Similarity
- Dynamic Rules-Based Similarity Model
- Performance of the Dynamic Rules-Based Similarity Model
- Conclusions and Directions for the Future
- References
- Multi-valued Approach to Near Set Theory
- Introduction
- Basic Concepts
- Multi-valued System for Near Set Theory
- New Approaches to Near Sets
- Conclusion
- References
- Perceptual Indiscernibility, Rough Sets, Descriptively Near Sets, and Image Analysis
- Introduction
- Related Works
- Preliminaries: Rough Sets and Perceptual Nearness of Sets
- Visual Rough Sets
- Tolerance Rough Sets
- Nearness of Sets
- Near Sets
- Perceptual Tolerance Relation
- Tolerance Near Sets
- Nearness Measure
- Finding Classes
- Digital Image Features
- Normalized RGB
- Entropy
- Mean Shift Segmentation Algorithm
- Multiscale Edge Detection
- Grey Level Co-occurrence Matrices
- Zernike Moments
- CIELUV Colour Space
- Application of Near Sets
- Perceptual Image Analysis
- Initial Results
- Parameter Adjustment
- Other Measures
- SIMPLIcity Image Database
- Discussion
- Future Work
- Conclusion
- References
- Dialectics of Counting and the Mathematics of Vagueness
- Introduction
- Some Background, Terminology
- Semantic Domains, Meta and Object Levels
- Granules and Concepts
- Contamination Problem
- Formalism Compatibility and Mereology
- Motivating Examples for RYS
- Objectivity of Measures and General RST
- Numbers and Their Generalization
- Granules: An Axiomatic Approach
- Concepts of Discernibility
- Relative- and Multi-granulation
- Relation-Based Rough Set Theory
- Tolerance Spaces
- Cover-Based Rough Set Theory
- Classification of Rough Set Theory
- Dialectical Counting, Measures
- Generalized Measures
- Rough Inclusion Functions
- On Representation of Counts
- Representation of IPC
- Semantics from Dialectical Counting
- Rough Entanglement: Granular HPC
- Connections between Fuzzy and Rough Sets
- Operations on Low-Level Rough Naturals
- Further Directions: Conclusion
- References
- Author Index
