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ISBN: 3031509595 Year: 2023 Publisher: Cham, Switzerland : Springer,
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ISBN: 3540005749 Year: 2003 Publisher: Berlin ; New York : Springer,
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ISBN: 1402086229 1402086210 Year: 2008 Publisher: [Dordrecht] : Springer,
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'A Geometry of Approximation' addresses Rough Set Theory, a field of interdisciplinary research first proposed by Zdzislaw Pawlak in 1982, and focuses mainly on its logic-algebraic interpretation. The theory is embedded in a broader perspective that includes logical and mathematical methodologies pertaining to the theory, as well as related epistemological issues. Any mathematical technique that is introduced in the book is preceded by logical and epistemological explanations. Intuitive justifications are also provided, insofar as possible, so that the general perspective is not lost. Such an approach endows the present treatise with a unique character. Due to this uniqueness in the treatment of the subject, the book will be useful to researchers, graduate and pre-graduate students from various disciplines, such as computer science, mathematics and philosophy. It features an impressive number of examples supported by about 40 tables and 230 figures. The comprehensive index of concepts turns the book into a sort of encyclopaedia for researchers from a number of fields. 'A Geometry of Approximation' links many areas of academic pursuit without losing track of its focal point, Rough Sets.
Rough sets. --- Rough set theory --- Theory of rough sets --- Set theory
Book
ISBN: 303087334X 3030873331 Year: 2021 Publisher: Cham, Switzerland : Springer,
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Rough sets. --- Rough set theory --- Theory of rough sets --- Set theory --- Conjunts aproximats
Book
ISBN: 3662665441 3662665433 Year: 2022 Publisher: Berlin, Germany : Springer,
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Rough sets. --- Rough set theory --- Theory of rough sets --- Set theory --- Conjunts aproximats --- Informàtica tova
ISBN: 3540419047 9783540419044 Year: 2002 Publisher: Berlin: New York: Springer,
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This monograph presents a systematic, exhaustive and up-to-date overview of formal methods and theories for data analysis and inference inspired by the concept of rough set. The book studies structures with incomplete information from the logical, algebraic and computational perspective. The formalisms developed are non-invasive in that only the actual information is needed in the process of analysis without external sources of information being required.The book is intended for researchers, lecturers and graduate students who wish to get acquainted with the rough set style approach to information systems with incomplete information.
Fuzzy sets. --- Rough sets. --- Soft computing. --- Soft computing --- Fuzzy sets --- Rough sets
ISBN: 0792398076 9780792398073 Year: 1997 Publisher: [Boston]: Kluwer Academic Publishers,
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Database management --- Database searching --- Rough sets --- Machine Learning
ISBN: 9814021008 9789814021005 Year: 1999 Publisher: Singapore: Springer,
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Artificial intelligence --- Fuzzy sets --- Rough sets --- Decision Making --- Uncertainty --- Mathematical models --- Artificial intelligence. --- Decision making --- Fuzzy sets. --- Rough sets. --- Uncertainty. --- Mathematical models. --- Decision Making - Mathematical models
ISBN: 3540430598 Year: 2004 Publisher: Berlin : Springer,
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Soft computing comprises various paradigms dedicated to approximately solving real-world problems, e.g., in decision making, classification or learning; among these paradigms are fuzzy sets, rough sets, neural networks, and genetic algorithms. It is well understood now in the soft computing community that hybrid approaches combining various paradigms provide very promising attempts to solving complex problems. Exploiting the potential and strength of both neural networks and rough sets, this book is devoted to rough-neurocomputing which is also related to the novel aspect of computing based on information granulation, in particular to computing with words. It provides foundational and methodological issues as well as applications in various fields.
Natural language processing (Computer science). --- Neural computers. --- Rough sets. --- Soft computing.
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ISBN: 9783031397486 9783031397479 9783031397493 9783031397509 3031397487 Year: 2024 Publisher: Cham : Springer International Publishing AG,
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This book, 'Texture Spaces' by Murat Diker, delves into the mathematical theory of texture spaces and its interrelation with fuzzy sets and rough sets. The author presents foundational concepts, historical context, and practical applications of texture spaces. This work synthesizes scattered observations in the literature, providing a cohesive theoretical tool for researchers and engineers in information sciences. The book is structured into seven chapters, covering topics such as lattice theory, fuzzy lattices, textural isomorphism, and the connections between rough sets and fuzzy sets. It serves as a resource for those interested in mathematical theories of textures and their applications in data-driven environments.
Mathematics --- Applied physical engineering --- Artificial intelligence. Robotics. Simulation. Graphics --- neuronale netwerken --- fuzzy logic --- cybernetica --- toegepaste wiskunde --- wiskunde --- AI (artificiële intelligentie) --- ingenieurswetenschappen --- Fuzzy sets. --- Rough sets. --- Fuzzy sets --- Rough sets
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