Dompere, K. K.
Fuzziness and Approximate Reasoning
Epistemics on Uncertainty, Expectation and Risk in Rational Behavior
Springer-Verlag 2009.3
292 pp.(H)
ISBN 3-540-88086-0
15,800円
Contents
1.Fuzzy Rationality, Uncertainty and Expectations/ 2.Fuzzy Rationality and Classical Sub-Rationality/ 3.Fuzzy Rationality, Ambiguity and Risk in Decision-Choice Process/ 4.Epistemics of Risk and Optimal Decision-Choice Rationality/ 5.Reflections on Some Decision Theories of Uncertainty and Risk/ 6.Fuzzy Decision-Choice Rationality and Paradoxes in Decision-Choice Theories/ Index/ *
Celikyilmaz, A. & Tuerksen, I. B.
Modeling Uncertainty with Fuzzy Logic
With Recent Theory and Applications
Springer-Verlag 2009.5
400 pp.(H)
ISBN 3-540-89923-5
20,700円
Contents
1.Introduction/ 2.Fuzzy Sets and Systems/ 3.Improved Fuzzy Clustering/ 4.Fuzzy Functions Approach/ 5.Modeling Uncertainty with Improved Fuzzy Functions/ 6.Experiments/7.Conclusions and Future Work/ Index/
* The objective of this book is to present an uncertainty modeling approach using a new type of fuzzy system model via "Fuzzy Functions". Since most researchers on fuzzy systems are more familiar with the standard fuzzy rule bases and their inference system structures, many standard tools of fuzzy system modeling approaches are reviewed to demonstrate the novelty of the structurally different fuzzy functions, before we introduced the new methodologies.
* To make the discussions more accessible, no special fuzzy logic and system modeling knowledge is assumed. Therefore, the book itself may be a reference for some related methodologies to most researchers on fuzzy systems analyses. *
Seising, R. ed.
Views on Fuzzy Sets and Systems from Different Perspectives
Philosophy and Logic, Criticisms and Applications
Springer-Verlag 2009.5
580 pp.(H)
ISBN 3-540-93801-X
27,000円
Contents
1.From the contents: Fuzzy Sets and Systems and Philosophy of Science/ 2.Fuzzy Systems and Scientific Method − Meta-Level Reflections and Prospects/ 3.Fuzzy Logic and Science/ 4.Fuzzy Logic, Concepts and Semantic Transformers/ 5.Phenomenology as a Criterion for Formalism Choice/ 6.Computational Theory of Meaning Articulation/ 7.Power Sets, Implications and Set Inclusions Revisited/ 8.Probability and Fuzziness − Echoes from 30 Years Back/ 9.On a Model for the Meaning of Predicates/ 10.Fuzzy Logic as a Theory of Vagueness: 15 Conceptual Questions/ 11.Dialogue Games as Foundation of Fuzzy Logics/ 12.Connecting a Tenable Mathematical Theory to Models of Fuzzy Phenomena/ 13.Many-valuation, Modality, and Fuzziness/ 14.Fuzzy Thinking in Sociology/ 15.Fuzzy Set Theory and the Philosophical Foundations of Medicine/ 16.Fuzzy Preferences as a Convenient Tool in Group Decision Making and a Remedy for Voting Paradoxes/ 17.What we are Learning from Neurosciences about Decision-Making: A Quest for Fuzzy Set Technology/ 18.Postmodernism and Control Engineering/ 19.Fuzzy Mechanisms for Qualitative Causal Relations/ Index/ *
Dompere, K. K.
Epistemic Foundations of Fuzziness
Unified Theories on Decision-Choice Processes
Springer-Verlag 2009.3
266 pp.(H)
ISBN 3-540-88084-4
15,800円
Contents
1.Epistemic Foundations of Fuzzy Mathematics/ 2.The Rationality and Two Number Systems/ 3.Rationality and Decision-Choice-Theoretic Processes/ 4.Non-Fuzzy Rationality and Classical Decision-Choice Process/ 5.Fuzzy Rationality and Non-Classical Decission-Choice Process/ 6.Contradictions, Paradoxes and Fuzzy Optimal Decision-Choice Rationality/ Index/
* This monograph is a treatment on optimal fuzzy rationality as an enveloping of decision-choice rationalities where limited information, vagueness, ambiguities and inexactness are essential characteristics of our knowledge structure and reasoning processes. The volume is devoted to a unified system of epistemic models and theories of decision-choice behavior under total uncertainties composed of fuzzy and stochastic types. The unified epistemic analysis of decision-choice models and theories begins with the question of how best to integrate vagueness, ambiguities, limited information, subjectivity and approximation into the decision-choice process. The answer to the question leads to the shifting of the classical paradigm of reasoning to fuzzy paradigm. This is followed by discussions and establishment of the epistemic foundations of fuzzy mathematics where the nature and role of information and knowledge are explicated and represented. *
Liu, X. & Pedrycz, W.
Axiomatic Fuzzy Set Theory and Its Applications
Springer-Verlag 2009.4
514 pp.(H)
ISBN 3-642-00401-6
20,700円
Contents
1.Required Preliminary Mathematical Knowledge/ 2.Methodology and Mathematical Framework of AFS Theory/ 3.Applications of AFS Theory/ Index/
* In the age of Machine Intelligence and computerized decision making, we have to deal with subjective imprecision inherently associated with human perception and described in natural language and uncertainty captured in the form of randomness. This treatise develops the fundamentals and methodology of Axiomatic Fuzzy Sets (AFS), in which fuzzy sets and probability are treated in a unified and coherent fashion. It offers an efficient framework that bridges real world problems with abstract constructs of mathematics and human interpretation capabilities cast in the setting of fuzzy sets. *
Wang, X. et al.
Mathematics of Fuzziness―Basic Issues
Springer-Verlag 2009.4
220 pp.(H)
ISBN 3-540-78310-5
15,800円
Contents
1.Preliminaries/ 2.Fuzzy Sets/ 3.Fuzzy Relations/ 4.Extension Principle and Fuzzy Numbers/5.Pure Mathematical issues/ 6.Fuzzy Reasoning and Fuzzy Control/ Index/
* Mathematics of Fuzziness―Basic Issues introduces a basic notion of ‘fuzziness’ and provides a conceptual mathematical framework to characterize such fuzzy phenomena in Studies in Fuzziness and Soft Computing. The book systematically presents a self-contained introduction to the essentials of mathematics of fuzziness ranging from fuzzy sets, fuzzy relations, fuzzy numbers, fuzzy algebra, fuzzy measures, fuzzy integrals, and fuzzy topology to fuzzy control in a strictly mathematical manner. *
146-63 登録日 09.06.22
