Fuzzy Set Theory [electronic resource] : Basic Concepts, Techniques and Bibliography /

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 L-fuzzy sets for arbitrary lattices L, with the possibility-probability theories and interpretations, with the foundation of fuzzy set theory via multi-valued 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.

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Bibliographic Details
Main Authors: Lowen, R. author., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 1996
Subjects:Mathematics., Operations research., Decision making., Artificial intelligence., Mathematical logic., Mathematical Logic and Foundations., Artificial Intelligence (incl. Robotics)., Operation Research/Decision Theory.,
Online Access:http://dx.doi.org/10.1007/978-94-015-8741-9
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id KOHA-OAI-TEST:173190
record_format koha
institution COLPOS
collection Koha
country México
countrycode MX
component Bibliográfico
access En linea
En linea
databasecode cat-colpos
tag biblioteca
region America del Norte
libraryname Departamento de documentación y biblioteca de COLPOS
language eng
topic Mathematics.
Operations research.
Decision making.
Artificial intelligence.
Mathematical logic.
Mathematics.
Mathematical Logic and Foundations.
Artificial Intelligence (incl. Robotics).
Operation Research/Decision Theory.
Mathematics.
Operations research.
Decision making.
Artificial intelligence.
Mathematical logic.
Mathematics.
Mathematical Logic and Foundations.
Artificial Intelligence (incl. Robotics).
Operation Research/Decision Theory.
spellingShingle Mathematics.
Operations research.
Decision making.
Artificial intelligence.
Mathematical logic.
Mathematics.
Mathematical Logic and Foundations.
Artificial Intelligence (incl. Robotics).
Operation Research/Decision Theory.
Mathematics.
Operations research.
Decision making.
Artificial intelligence.
Mathematical logic.
Mathematics.
Mathematical Logic and Foundations.
Artificial Intelligence (incl. Robotics).
Operation Research/Decision Theory.
Lowen, R. author.
SpringerLink (Online service)
Fuzzy Set Theory [electronic resource] : Basic Concepts, Techniques and Bibliography /
description 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 L-fuzzy sets for arbitrary lattices L, with the possibility-probability theories and interpretations, with the foundation of fuzzy set theory via multi-valued 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.
format Texto
topic_facet Mathematics.
Operations research.
Decision making.
Artificial intelligence.
Mathematical logic.
Mathematics.
Mathematical Logic and Foundations.
Artificial Intelligence (incl. Robotics).
Operation Research/Decision Theory.
author Lowen, R. author.
SpringerLink (Online service)
author_facet Lowen, R. author.
SpringerLink (Online service)
author_sort Lowen, R. author.
title Fuzzy Set Theory [electronic resource] : Basic Concepts, Techniques and Bibliography /
title_short Fuzzy Set Theory [electronic resource] : Basic Concepts, Techniques and Bibliography /
title_full Fuzzy Set Theory [electronic resource] : Basic Concepts, Techniques and Bibliography /
title_fullStr Fuzzy Set Theory [electronic resource] : Basic Concepts, Techniques and Bibliography /
title_full_unstemmed Fuzzy Set Theory [electronic resource] : Basic Concepts, Techniques and Bibliography /
title_sort fuzzy set theory [electronic resource] : basic concepts, techniques and bibliography /
publisher Dordrecht : Springer Netherlands : Imprint: Springer,
publishDate 1996
url http://dx.doi.org/10.1007/978-94-015-8741-9
work_keys_str_mv AT lowenrauthor fuzzysettheoryelectronicresourcebasicconceptstechniquesandbibliography
AT springerlinkonlineservice fuzzysettheoryelectronicresourcebasicconceptstechniquesandbibliography
_version_ 1756263691689394176
spelling KOHA-OAI-TEST:1731902018-07-30T22:50:46ZFuzzy Set Theory [electronic resource] : Basic Concepts, Techniques and Bibliography / Lowen, R. author. SpringerLink (Online service) textDordrecht : Springer Netherlands : Imprint: Springer,1996.engThe 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 L-fuzzy sets for arbitrary lattices L, with the possibility-probability theories and interpretations, with the foundation of fuzzy set theory via multi-valued 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.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 t-Norms, t-Conorms and Negations -- Section 1 Pointwise extensions -- Section 2 t-Norms and t-Conorms -- 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 non-probabilistic 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 t-Norm generated fuzzy connectives -- Section 6 Probabilistically generated fuzzy connectives -- Section 7 Notes -- 7 Bibliography -- Section 1 Books -- Section 2 Articles.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 L-fuzzy sets for arbitrary lattices L, with the possibility-probability theories and interpretations, with the foundation of fuzzy set theory via multi-valued 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.Mathematics.Operations research.Decision making.Artificial intelligence.Mathematical logic.Mathematics.Mathematical Logic and Foundations.Artificial Intelligence (incl. Robotics).Operation Research/Decision Theory.Springer eBookshttp://dx.doi.org/10.1007/978-94-015-8741-9URN:ISBN:9789401587419