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140122  eng 
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a 9789401587419

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1 

a Lowen, R.

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a Fuzzy Set Theory
h Elektronische Ressource
b Basic Concepts, Techniques and Bibliography
c by R. Lowen

250 


a 1st ed. 1996

260 


a Dordrecht
b Springer Netherlands
c 1996, 1996

300 


a XIV, 408 p
b online resource

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0 

a 1 Elementary Set Theory  Section 1 Sets and subsets  Section 2 Functions and relations  Section 3 Partially ordered sets  Section 4 The lattice of subsets of a set  Section 5 Characteristic functions  Section 6 Notes  2 Fuzzy Sets  Section 1 Definitions and examples  Section 2 Lattice theoretical operations on fuzzy sets  Section 3 Pseudocomplementation  Section 4 Fuzzy sets, functions and fuzzy relations  Section 5 ?levels  Section 6 Notes  3 tNorms, tConorms and Negations  Section 1 Pointwise extensions  Section 2 tNorms and tConorms  Section 3 Negations  Section 4 Notes  4 Special Types of Fuzzy Sets  Section 1 Normal fuzzy sets  Section 2 Convex fuzzy sets  Section 3 Piecewise linear fuzzy sets  Section 4 Compact fuzzy sets  Section 5 Notes  5 Fuzzy Real Numbers  Section 1 The probabilistic view  Section 2 The nonprobabilistic view  Section 3 Interpolation  Section 4 Notes  6 Fuzzy Logic  Section 1 Connectives in classical logic  Section 2 Fundamental classical theorems  Section 3 Basic principles of fuzzy logic  Section 4 Lattice generated fuzzy connectives  Section 5 tNorm generated fuzzy connectives  Section 6 Probabilistically generated fuzzy connectives  Section 7 Notes  7 Bibliography  Section 1 Books  Section 2 Articles

653 


a Operations research

653 


a Mathematical logic

653 


a Artificial Intelligence

653 


a Artificial intelligence

653 


a Mathematical Logic and Foundations

653 


a Operations Research and Decision Theory

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7 
a eng
2 ISO 6392

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b SBA
a Springer Book Archives 2004

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a 10.1007/9789401587419

856 
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u https://doi.org/10.1007/9789401587419?nosfx=y
x Verlag
3 Volltext

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a 511.3

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a The purpose of this book is to provide the reader who is interested in applications of fuzzy set theory, in the first place with a text to which he or she can refer for the basic theoretical ideas, concepts and techniques in this field and in the second place with a vast and up to date account of the literature. Although there are now many books about fuzzy set theory, and mainly about its applications, e. g. in control theory, there is not really a book available which introduces the elementary theory of fuzzy sets, in what I would like to call "a good degree of generality". To write a book which would treat the entire range of results concerning the basic theoretical concepts in great detail and which would also deal with all possible variants and alternatives of the theory, such as e. g. rough sets and Lfuzzy sets for arbitrary lattices L, with the possibilityprobability theories and interpretations, with the foundation of fuzzy set theory via multivalued logic or via categorical methods and so on, would have been an altogether different project. This book is far more modest in its mathematical content and in its scope
