From a linguistic perspective, it is quanti?cation which makes all the di?- ence between “having no dollars” and “having a lot of dollars”. And it is the meaning of the quanti?er “most” which eventually decides ...
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ISBN:
(数字)9783540325031
ISBN:
(纸本)9783540296348;9783642067433
From a linguistic perspective, it is quanti?cation which makes all the di?- ence between “having no dollars” and “having a lot of dollars”. And it is the meaning of the quanti?er “most” which eventually decides if “Most Ame- cans voted Kerry” or “Most Americans voted Bush” (as it stands). Natural language(NL)quanti?erslike“all”,“almostall”,“many”etc. serveanimp- tant purpose because they permit us to speak about properties of collections, as opposed to describing speci?c individuals only; in technical terms, qu- ti?ers are a ‘second-order’ construct. Thus the quantifying statement “Most Americans voted Bush” asserts that the set of voters of George W. Bush c- prisesthemajorityofAmericans,while“Bushsneezes”onlytellsussomething about a speci?c individual. By describing collections rather than individuals, quanti?ers extend the expressive power of natural languages far beyond that of propositional logic and make them a universal communication medium. Hence language heavily depends on quantifying constructions. These often involve fuzzy concepts like “tall”, and they frequently refer to fuzzy quantities in agreement like “about ten”, “almost all”, “many” etc. In order to exploit this expressive power and make fuzzy quanti?cation available to technical applications, a number of proposals have been made how to model fuzzy quanti?ers in the framework of fuzzy set theory. These approaches usually reduce fuzzy quanti?cation to a comparison of scalar or fuzzy cardinalities [197, 132].
I think the next century will be the century of complexity. We have already discovered the basic laws that govern matter and understand all the normal situations. We don’t know how the laws ?t together, and what happ...
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ISBN:
(数字)9783540317579
ISBN:
(纸本)9783540317562;9783642421600
I think the next century will be the century of complexity. We have already discovered the basic laws that govern matter and understand all the normal situations. We don’t know how the laws ?t together, and what happens under extreme conditions. But I expect we will ?nd a complete uni?ed theory sometime this century. There is no limit to the complexity that we can build using those basic laws. Stephen Hawking, January 2000. We don’t know what we are talking about. Many of us believed that string theory was a very dramatic break with our previous notions of quantum theory. But now we learn that string theory, well, is not that much of a break. The state of physics today is like it was when we were mysti?ed by radioactivity. They were missing something absolutely fundamental. We are missing perhaps something as profound as they were back then. Nobel Laureate David Gross, December 2005. This volume is essentially a compilation of papers presented at the Int- national Workshop on Mathematics and Physics of Complex and Nonlinear Systems that was held at Indian Institute of Technology Kanpur, March 14 – 26, 2004 on the theme ChaNoXity: The Nonlinear Dynamics of Nature.
Intelligent systems are now being used more commonly than in the past. These involve cognitive, evolving and artificial-life, robotic, and decision making systems, to name a few. Due to the tremendous speed of d...
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ISBN:
(数字)9783790818161
ISBN:
(纸本)9783790813999;9783790824919
Intelligent systems are now being used more commonly than in the past. These involve cognitive, evolving and artificial-life, robotic, and decision making systems, to name a few. Due to the tremendous speed of development, on both fundamental and technological levels, it is virtually impossible to offer an up-to-date, yet comprehensive overview of this field. Nevertheless, the need for a volume presenting recent developments and trends in this domain is huge, and the demand for such a volume is continually increasing in industrial and academic engineering 1 communities. Although there are a few volumes devoted to similar issues , none offer a comprehensive coverage of the field; moreover they risk rapidly becoming obsolete. The editors of this volume cannot pretend to fill such a large gap. However, it is the editors' intention to fill a significant part of this gap. A comprehensive coverage of the field should include topics such as neural networks, fuzzy systems, neuro-fuzzy systems, genetic algorithms, evolvable hardware, cellular automata-based systems, and various types of artificial life-system implementations, including autonomous robots. In this volume, we have focused on the first five topics listed above. The volume is composed of four parts, each part being divided into chapters, with the exception of part 4. In Part 1, the topics of "Evolvable Hardware and GAs" are addressed. In Chapter 1, "Automated Design Synthesis and Partitioning for Adaptive Reconfigurable Hardware", Ranga Vemuri and co-authors present state-of-the-art adaptive architectures, their classification, and their applications.
Since the book is self-contained and reader-friendly, the respected researchers may utilize this source for further investigations of the necessary results for their studies on rough set theory using textures. Therefo...
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ISBN:
(数字)9783031397486
ISBN:
(纸本)9783031397479;9783031397509
Since the book is self-contained and reader-friendly, the respected researchers may utilize this source for further investigations of the necessary results for their studies on rough set theory using textures. Therefore, prospective readers are not only mathematicians who interest in purely mathematical theories related to textures, but also engineers of information sciences who need more information for their interdisciplinary studies with respect to rough sets and fuzzy sets.
1. The increasing number of research papers appeared in the last years that either make use of aggregation functions or contribute to its theoretieal study asses its growing importance in the field of Fuzzy Logie and ...
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ISBN:
(数字)9783790817874
ISBN:
(纸本)9783790814682;9783662003190
1. The increasing number of research papers appeared in the last years that either make use of aggregation functions or contribute to its theoretieal study asses its growing importance in the field of Fuzzy Logie and in others where uncertainty and imprecision play a relevant role. Since these papers are pub lished in many journals, few books and several proceedings of conferences, books on aggregation are partieularly welcome. To my knowledge, "Agrega tion Operators. New Trends and Applications" is the first book aiming at generality , and I take it as a honour to write this Foreword in response to the gentle demand of its editors, Radko Mesiar, Tomasa Calvo and Gaspar Mayor. My pleasure also derives from the fact that twenty years aga I was one of the first Spaniards interested in the study of aggregation functions, and this book includes work by several Spanish authors. The book contains nice and relevant original papers, authored by some of the most outstanding researchers in the field, and since it can serve, as the editors point out in the Preface, as a small handbook on aggregation, the book is very useful for those entering the subject for the first time. The book also contains apart dealing with potential areas of application, so it can be helpful in gaining insight on the future developments.
This volume covers the fields of measurement and information acqulSltlon. It contains a collection of papers representing the current research trends in these areas. What are those trends? The first one is the enormou...
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ISBN:
(数字)9783540362166
ISBN:
(纸本)9783540002468;9783642535093
This volume covers the fields of measurement and information acqulSltlon. It contains a collection of papers representing the current research trends in these areas. What are those trends? The first one is the enormous growth in the amount of information and the amazing technologies, which make this information available anywhere and anytime. The second one is a substantial development of methods of the information presentation including, to name just a few, multimedia, virtual environment, computer animation. The third one is the all-time boosting demand for improving the quality of decisions made on the base of this information in various applications ranging from engineering to business. Nowadays information acquisition should not only provide more information but also provide it in such a way as to assure effective and efficient processing of this information. And here comes a relatively new methodology of softcomputing. Application of softcomputing in measurement and information acquisition is considered in this volume.
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