Views on Fuzzy Sets and Systems from Different Perspectives: Philosophy and Logic, Criticisms and Applications

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Springer Science & Business Media, Apr 3, 2009 - Computers - 580 pages
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For more than four decades of its existence, the scientific "Fuzzy Group" has grown from a few engineers, working either alone or in small groups to a large scientific community. From the perspective of the history of science, it is quite normal over the course of time for such research programs to adapt themselves to the phenomena of branching out and differentiation into special projects and penetrating other disciplines. This applies not only to the distribution of research projects, the number of researchers, and the benefits of various research funding programs but also in the high profile of the subject in widely diverse fields of science, technology and business.

For more than forty years fuzzy logic and fuzzy mathematics have been continuously developed, resulting in important theoretical expansions of this mathematical theory of unsharp amounts or logic of unsharp statements, which have often very quickly led to new application systems. At the same time, the areas of artificial neural networks and of evolutionary and genetic algorithms emerged as independent research disciplines and beginning in the 1980s new developments arose that were hardly foreseeable: the theory of fuzzy sets and systems was combined with these new scientific theories and methods and the use of "hybrid systems" became more and more common in all types of applications.

In our new century, the theory of fuzzy sets and systems is in the core of "Soft Computing" and "Computational Intelligence" and has become a normal scientific theory in the fields of exact sciences and engineering and it is well on its way to becoming normal in the soft sciences as well. This book is a collection of the views of numerous scholars in different parts of the world who are involved in various research projects concerning fuzziness in science, technology, economic systems, social sciences, logics and philosophy. This volume demonstrates that there are many different views of the theory of fuzzy sets and systems and of their interpretation and applications in diverse areas of our cultural and social life.

 

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Contents

Fuzzy Sets and Systems and Philosophy of Science
1
Fuzzy Systems and Scientific Method Metalevel Reflections and Prospects
37
Fuzzy Logic and Science
66
Fuzzy Logic Concepts and Semantic Transformers
79
Phenomenology as a Criterion for Formalism Choice
98
A Human Estimation Approach to Fuzzy Arithmetic
115
A Review of Bandler and Kohouts Paper and a Survey of 30 Years of Subsequent Developments
129
Probability and Fuzziness Echoes from 30 Years Back
160
it Fuzzy Preferences as a Convenient Tool in Group Decision Making and a Remedy for Voting Paradoxes
345
A Quest for Fuzzy Set Technology
361
Postmodernism and Control Engineering
377
Fuzzy Mechanisms for Qualitative Causal Relations
392
On the Relation between Fuzzy and Quantum Logic
417
Fuzzy Cluster Analysis from the Viewpoint of Robust Statistics
439
On the Usefulness of Fuzzy Sets in Data Mining
456
The Uncertainty Associated with a Type2 Fuzzy Set
471

On a Model for the Meaning of Predicates A Na´ve Approach to the Genesis of Fuzzy Sets
175
15 Conceptual Questions
207
Dialogue Games as Foundation of Fuzzy Logics
229
Connecting a Tenable Mathematical Theory to Models of Fuzzy Phenomena
246
ManyValuation Modality and Fuzziness
271
Fuzzy Thinking in Sociology
301
Fuzzy Set Theory and the Philosophical Foundations of Medicine
321
Fuzziness Representation of Dynamic Changes by Ordered Fuzzy Numbers
485
Meta Sets Another Approach to Fuzziness
509
Regression Model Based on Fuzzy Random Variables
533
Optimal Workers Placement in an Industrial Environment
546
Authors
567
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About the author (2009)

Rudolf Seising received his MS degree (Diplom) in mathematics from the Ruhr-University of Bochum 1986. He received his Ph.D. degree (Dr.) in philosophy of science in 1995 for his work on the philosophy of probability theory in quantum mechanics, and his habilitation degree (PD) of history of science from the LMU of Munich in 2004 for his work on the history of the theory of fuzzy sets.
He was a research assistant for computer sciences at the University of the Armed Forces in Munich (1988 - 1995) and for history of sciences at the same university (1995-2002).
Since 2002, he has worked as a research assistant for medical expert and knowledge-based systems at the University of Vienna Medical School (since 2004) of the Medical University of Vienna respectively.
Rudolf Seising teaches philosophy and history of medicine, medical computer sciences and especially history and philosophy of soft computing. His research interests include the philosophy and history of artificial intelligence.

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