Transactions on Computational Science II

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The LNCS journal Transactions on Computational Science reflects recent developments in the field of Computational Science, conceiving the field not as a mere ancillary science but rather as an innovative approach supporting many other scientific disciplines. The journal focuses on original high-quality research in the realm of computational science in parallel and distributed environments, encompassing the facilitating theoretical foundations and the applications of large-scale computations and massive data processing. It addresses researchers and practitioners in areas ranging from aerospace to biochemistry, from electronics to geosciences, from mathematics to software architecture, presenting verifiable computational methods, findings and solutions and enabling industrial users to apply techniques of leading-edge, large-scale, high performance computational methods.

Transactions on Computational Science II is devoted to the subject of denotational mathematics for computational intelligence. Denotational mathematics, as a counterpart of conventional analytic mathematics, is a category of expressive mathematical structures that deals with high-level mathematical entities beyond numbers and sets, such as abstract objects, complex relations, behavioral information, concepts, knowledge, processes, granules, and systems. This volume includes 12 papers covering the following four important areas: foundations and applications of denotational mathematics; rough and fuzzy set theories; granular computing; and knowledge and information modeling.

Author(s): Yingxu Wang, Yiyu Yao, Guoyin Wang (auth.), Marina L. Gavrilova, C. J. Kenneth Tan, Yingxu Wang, Yiyu Yao, Guoyin Wang (eds.)
Series: Lecture Notes in Computer Science 5150 : Transactions on Computational Science
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2008

Language: English
Pages: 250
Tags: Software Engineering/Programming and Operating Systems; Theory of Computation; Computational Science and Engineering

Front Matter....Pages -
Perspectives on Denotational Mathematics: New Means of Thought....Pages 1-5
On Contemporary Denotational Mathematics for Computational Intelligence....Pages 6-29
Mereological Theories of Concepts in Granular Computing....Pages 30-45
On Mathematical Laws of Software....Pages 46-83
Rough Logic and Its Reasoning....Pages 84-99
On Reduct Construction Algorithms....Pages 100-117
Attribute Set Dependence in Reduct Computation....Pages 118-132
A General Model for Transforming Vague Sets into Fuzzy Sets....Pages 133-144
Quantifying Knowledge Base Inconsistency Via Fixpoint Semantics....Pages 145-160
Contingency Matrix Theory I: Rank and Statistical Independence in a Contigency Table....Pages 161-179
Applying Rough Sets to Information Tables Containing Possibilistic Values....Pages 180-204
Toward a Generic Mathematical Model of Abstract Game Theories....Pages 205-223
A Comparative Study of STOPA and RTPA ....Pages 224-245
Back Matter....Pages -