Published January 31, 1979
by Springer .
Written in English
|The Physical Object|
|Number of Pages||196|
Numerous techniques of decision making are carefully generalized by bringing the ideas of type-2 fuzzy sets; this concerns well-known methods including TOPSIS, Analytical Network Process, TODIM, and VIKOR. This book exposes the readers to the essentials of the theory of type-2 fuzzy sets, methodology, algorithms, and their applications. This theory is based on the synthesis of the fuzzy sets theory with perception-based information and the probability theory. The book is self containing and represents in a systematic way the decision theory with imperfect information into the educational systems. Fuzzy Sets and Fuzzy Decision-Making provides an introduction to fuzzy set theory and lays the foundation of fuzzy mathematics and its applications to decision-making. New concepts are simplified with the use of figures and diagrams, and methods are discussed in terms of their direct applications in obtaining solutions to real problems, particularly to decision-related problems. FUZZY DECISION THEORY Heinrich J. Rommelfanger Institute of Statistics and Mathematics, Goethe-University Frankfurt am Main, Germany Keywords: Decision theory, fuzzy intervals of the ε-λ-type, fuzzy probabilities, fuzzy utilities, information costs, multi-criteria decision making Contents 1. Classical Decision Model 2.
the literature can be applied to decision-making in aero-space applications. The report will provide a background on fuzzy logic, including a description of the differences between classical set theory and fuzzy set theory. Three examples will be used to illustrate how fuzzy logic can be used in the aerospace industry. These examples will be aFile Size: KB. All chapters have been updated. The chapters on possibil ity theory (8), on fuzzy logic and approximate reasoning (9), on expert systems and fuzzy control (10), on decision making (12), and on fuzzy set models in oper ations research (13) have been restructured and rewritten. The book presents the basic rudiments of fuzzy set theory and fuzzy logic and their applications in a simple and easy to understand manner. It is written with a general type of reader in mind. The book avoids the extremes of abstract mathematical proofs as well as specialized technical details of different areas of : Chander Mohan. The book updates the research agenda (which has witnessed profound and startling advances since its inception some 30 years ago) with chapters on possibility theory, fuzzy logic and approximate Author: Hans-Jürgen Zimmermann.
The basic model of a decision in classical normative decision theory has very little in common with real decision making: It portrays a decision as a clear-cut act of choice, performed by one individual decision maker and in which states of nature, possible actions, results and Format: Hardcover. Two examples of ‘decision making problems’ with complete solutions are presented out of which one example shows the dominance of the application potential of intuitionistic fuzzy set theory over fuzzy set theory, and the other shows the converse i.e. the dominance of the application potential of fuzzy set theory over intuitionistic fuzzy Brand: Springer International Publishing. Fuzzy decision making is a powerful paradigm for dealing with human expert knowledge when one is designing fuzzy model-based controllers. The combination of fuzzy decision making and fuzzy control in this book can lead to novel control schemes . This section introduces some basic concepts in fuzzy set theory and a comparison with other methods used for risk assessment and decision-making. It may be skipped by readers with a background in artificial intelligence or control engineering. Basics of Fuzzy Set Theory and Fuzzy Logic Fuzzy SetsFile Size: 1MB.