Mathematics of fuzzy sets and fuzzy logic:
<p>This book presents a mathematically-based introduction into the fascinating topic of Fuzzy Sets and Fuzzy Logic and might be used as textbook at both undergraduate and graduate levels and also as reference guide for mathematician, scientists or engineers who would like to get an insight int...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2013
|
| Schriftenreihe: | Studies in fuzziness and soft computing
295 |
| Schlagworte: | |
| Online-Zugang: | BTU01 FHA01 FHI01 FHN01 FHR01 FKE01 FWS01 UBY01 Volltext Inhaltsverzeichnis Abstract |
| Zusammenfassung: | <p>This book presents a mathematically-based introduction into the fascinating topic of Fuzzy Sets and Fuzzy Logic and might be used as textbook at both undergraduate and graduate levels and also as reference guide for mathematician, scientists or engineers who would like to get an insight into Fuzzy Logic.</p><p> </p><p>Fuzzy Sets have been introduced by Lotfi Zadeh in 1965 and since then, they have been used in many applications. As a consequence, there is a vast literature on the practical applications of fuzzy sets, while theory has a more modest coverage. The main purpose of the present book is to reduce this gap by providing a theoretical introduction into Fuzzy Sets based on Mathematical Analysis and Approximation Theory. Well-known applications, as for example fuzzy control, are also discussed in this book and placed on new ground, a theoretical foundation. Moreover, a few advanced chapters and several new results are included. These comprise, among others, a new systematic and constructive approach for fuzzy inference systems of Mamdani and Takagi-Sugeno types, that investigates their approximation capability by providing new error estimates.</p><p> </p><p> |
| Beschreibung: | <p>1 Fuzzy Sets -- <p>2 Fuzzy Set-Theoretic Operations -- <p>3 Fuzzy Relations -- <p>4 Fuzzy numbers -- <p>5 Fuzzy Arithmetic -- <p>6 Fuzzy Inference -- <p>7 Single Input Single Output Fuzzy Systems -- <p>8 Fuzzy Analysis -- <p>9 Fuzzy Differential Equations -- <p>10 Extensions of Fuzzy Set Theory -- <p>11 Possibility Theory -- <p>12 Fuzzy Clustering -- <p>13 Fuzzy Transform -- </p><p>14 Artificial Neural Networks and Neuro-Fuzzy Systems.</p></p><p></p><p></p><p></p><p></p><p></p><p></p><p></p><p></p><p></p><p></p><p></p><p> |
| Beschreibung: | 1 Online-Ressource (XII, 326 p. 75 illus) |
| ISBN: | 9783642352218 |
| DOI: | 10.1007/978-3-642-35221-8 |
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Datensatz im Suchindex
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| adam_text | MATHEMATICS OF FUZZY SETS AND FUZZY LOGIC
/ BEDE, BARNABAS
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1 FUZZY SETS
2 FUZZY SET-THEORETIC OPERATIONS
3 FUZZY RELATIONS
4 FUZZY NUMBERS
5 FUZZY ARITHMETIC
6 FUZZY INFERENCE
7 SINGLE INPUT SINGLE OUTPUT FUZZY SYSTEMS
8 FUZZY ANALYSIS
9 FUZZY DIFFERENTIAL EQUATIONS
10 EXTENSIONS OF FUZZY SET THEORY
11 POSSIBILITY THEORY
12 FUZZY CLUSTERING
13 FUZZY TRANSFORM
14 ARTI CIAL NEURAL NETWORKS AND NEURO-FUZZY SYSTEMS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
MATHEMATICS OF FUZZY SETS AND FUZZY LOGIC
/ BEDE, BARNABAS
: 2013
ABSTRACT / INHALTSTEXT
THIS BOOK PRESENTS A MATHEMATICALLY-BASED INTRODUCTION INTO THE
FASCINATING TOPIC OF FUZZY SETS AND FUZZY LOGIC AND MIGHT BE USED AS
TEXTBOOK AT BOTH UNDERGRADUATE AND GRADUATE LEVELS AND ALSO AS REFERENCE
GUIDE FOR MATHEMATICIAN, SCIENTISTS OR ENGINEERS WHO WOULD LIKE TO GET
AN INSIGHT INTO FUZZY LOGIC. FUZZY SETS HAVE BEEN INTRODUCED BY LOTFI
ZADEH IN 1965 AND SINCE THEN, THEY HAVE BEEN USED IN MANY APPLICATIONS.
AS A CONSEQUENCE, THERE IS A VAST LITERATURE ON THE PRACTICAL
APPLICATIONS OF FUZZY SETS, WHILE THEORY HAS A MORE MODEST COVERAGE. THE
MAIN PURPOSE OF THE PRESENT BOOK IS TO REDUCE THIS GAP BY PROVIDING A
THEORETICAL INTRODUCTION INTO FUZZY SETS BASED ON MATHEMATICAL ANALYSIS
AND APPROXIMATION THEORY. WELL-KNOWN APPLICATIONS, AS FOR EXAMPLE FUZZY
CONTROL, ARE ALSO DISCUSSED IN THIS BOOK AND PLACED ON NEW GROUND, A
THEORETICAL FOUNDATION. MOREOVER, A FEW ADVANCED CHAPTERS AND SEVERAL
NEW RESULTS ARE INCLUDED. THESE COMPRISE, AMONG OTHERS, A NEW SYSTEMATIC
AND CONSTRUCTIVE APPROACH FOR FUZZY INFERENCE SYSTEMS OF MAMDANI AND
TAKAGI-SUGENO TYPES, THAT INVESTIGATES THEIR APPROXIMATION CAPABILITY BY
PROVIDING NEW ERROR ESTIMATES.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Bede, Barnabás |
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| dewey-full | 006.3 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 006 - Special computer methods |
| dewey-raw | 006.3 |
| dewey-search | 006.3 |
| dewey-sort | 16.3 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik |
| doi_str_mv | 10.1007/978-3-642-35221-8 |
| format | Electronic eBook |
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| language | English |
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| series2 | Studies in fuzziness and soft computing |
| spellingShingle | Bede, Barnabás Mathematics of fuzzy sets and fuzzy logic Studies in fuzziness and soft computing Informatik Ingenieurwissenschaften Mathematik Engineering Computer science Mathematics Logic, Symbolic and mathematical Fuzzy-Menge (DE-588)4061868-7 gnd Fuzzy-Logik (DE-588)4341284-1 gnd |
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| title | Mathematics of fuzzy sets and fuzzy logic |
| title_auth | Mathematics of fuzzy sets and fuzzy logic |
| title_exact_search | Mathematics of fuzzy sets and fuzzy logic |
| title_full | Mathematics of fuzzy sets and fuzzy logic Barnabas Bede |
| title_fullStr | Mathematics of fuzzy sets and fuzzy logic Barnabas Bede |
| title_full_unstemmed | Mathematics of fuzzy sets and fuzzy logic Barnabas Bede |
| title_short | Mathematics of fuzzy sets and fuzzy logic |
| title_sort | mathematics of fuzzy sets and fuzzy logic |
| topic | Informatik Ingenieurwissenschaften Mathematik Engineering Computer science Mathematics Logic, Symbolic and mathematical Fuzzy-Menge (DE-588)4061868-7 gnd Fuzzy-Logik (DE-588)4341284-1 gnd |
| topic_facet | Informatik Ingenieurwissenschaften Mathematik Engineering Computer science Mathematics Logic, Symbolic and mathematical Fuzzy-Menge Fuzzy-Logik |
| url | https://doi.org/10.1007/978-3-642-35221-8 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025941842&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025941842&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV020843944 |
| work_keys_str_mv | AT bedebarnabas mathematicsoffuzzysetsandfuzzylogic |