Defects of properties in mathematics: quantitative characterizations
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey <<[u.a.]>>
World Scientic
2002
|
| Schriftenreihe: | Series on concrete and applicable mathematics
5 |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 352 S. |
| ISBN: | 9810249241 |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | SERIES ON CONCRETE AND APPLICABLE MATHEMATICS VOL. 5 DEFECTS OF
PROPERTIES IN MATHEMATICS QUANTITATIVE CHARACTERIZATIONS ADRIAN I BAN &
SORIN G GAL UNIVERSITY OF ORADEA, ROMANIA WORLD SCIENTIFIC NEW JERSEY *
LONDON * SINGAPORE * HONG KONG CONTENTS PREFACE VII CHAPTER 1
INTRODUCTION 1 1.1 GENERAL DESCRIPTION OF THE TOPIC 1 1.2 ON CHAPTER 2:
DEFECT OF PROPERTY IN SET THEORY 3 1.3 ON CHAPTER 3: DEFECT OF PROPERTY
IN TOPOLOGY 8 1.4 ON CHAPTER 4: DEFECT OF PROPERTY IN MEASURE THEORY 18
1.5 ON CHAPTER 5: DEFECT OF PROPERTY IN REAL FUNCTION THEORY . . 24 1.6
ON CHAPTER 6: DEFECT OF PROPERTY IN FUNCTIONAL ANALYSIS ... 31 1.7 ON
CHAPTER 7: DEFECT OF PROPERTY IN ALGEBRA 45 1.8 ON CHAPTER 8:
MISCELLANEOUS 50 CHAPTER 2 DEFECT OF PROPERTY IN SET THEORY 57 2.1
MEASURES OF FUZZINESS . . . 57 2.2 INTUITIONISTIC ENTROPIES 67 2.3
APPLICATIONS 76 2.3.1 APPLICATION TO DETERMINATION OF DEGREE OF
INTERFERENCE 76 2.3.2 APPLICATION TO DESCRIPTION OF THE PERFORMANCE OF
SYSTEMS 81 2.3.3 APPLICATION TO DIGITAL IMAGE PROCESSING 84 2.4
BIBLIOGRAPHICAL REMARKS 86 CHAPTER 3 DEFECT OF PROPERTY IN TOPOLOGY 87
3.1 MEASURES OF NONCOMPACTNESS FOR CLASSICAL SETS 87 3.2 RANDOM MEASURES
OF NONCOMPACTNESS 95 3.3 MEASURES OF NONCOMPACTNESS FOR FUZZY SUBSETS IN
METRIC SPACE 98 IX X CONTENTS 3.4 MEASURES OF NONCOMPACTNESS FOR FUZZY
SUBSETS IN TOPOLOGICAL SPACE ILL 3.5 DEFECTS OF OPENING AND OF CLOSURE
FOR SUBSETS IN METRIC SPACE 125 3.6 BIBLIOGRAPHICAL REMARKS AND OPEN
PROBLEMS 127 CHAPTER 4 DEFECT OF PROPERTY IN MEASURE THEORY 131 4.1
DEFECT OF ADDITIVITY: BASIC DEFINITIONS AND PROPERTIES 131 4.1.1
APPLICATION TO CALCULATION OF FUZZY INTEGRAL 142 4.1.2 APPLICATION TO
BEST APPROXIMATION OF A FUZZY MEASURE . 145 4.1.3 A METRIC ON THE FAMILY
OF FUZZY MEASURES 146 4.2 DEFECT OF COMPLEMENTARITY 148 4.3 DEFECT OF
MONOTONICITY 164 4.4 DEFECT OF SUBADDITIVITY AND OF SUPERADDITIVITY 173
4.5 DEFECT OF MEASURABILITY 181 4.6 BIBLIOGRAPHICAL REMARKS 184 CHAPTER
5 DEFECT OF PROPERTY IN REAL FUNCTION THEORY 185 5.1 DEFECT OF
CONTINUITY, OF DIFFERENTIABILITY AND OF INTEGRABILITY . 185 5.2 DEFECT
OF MONOTONICITY, OF CONVEXITY AND OF LINEARITY 193 5.3 DEFECT OF
EQUALITY FOR INEQUALITIES 200 5.4 BIBLIOGRAPHICAL REMARKS AND OPEN
PROBLEMS 208 CHAPTER 6 DEFECT OF PROPERTY IN FUNCTIONAL ANALYSIS 211 6.1
DEFECT OF ORTHOGONALITY IN REAL NORMED SPACES 211 6.2 DEFECT OF PROPERTY
FOR SETS IN NORMED SPACES 234 6.3 DEFECT OF PROPERTY FOR FUNCTIONALS 246
6.4 DEFECT OF PROPERTY FOR LINEAR OPERATORS ON NORMED SPACES . . 252 6.5
DEFECT OF FIXED POINT 260 6.6 BIBLIOGRAPHICAL REMARKS AND OPEN PROBLEMS
273 CHAPTER 7 DEFECT OF PROPERTY IN ALGEBRA 277 7.1 DEFECTS OF PROPERTY
FOR BINARY OPERATIONS 277 7.2 CALCULATIONS OF THE DEFECT OF PROPERTY 289
7.3 DEFECT OF IDEMPOTENCY AND DISTRIBUTIVITY OF TRIANGULAR NORMS 293 7.4
APPLICATIONS 300 7.5 BIBLIOGRAPHICAL REMARKS 304 CHAPTER 8 MISCELLANEOUS
305 8.1 DEFECT OF PROPERTY IN COMPLEX ANALYSIS 305 CONTENTS XI 8.2
DEFECT OF PROPERTY IN GEOMETRY 307 8.3 DEFECT OF PROPERTY IN NUMBER
THEORY 320 8.4 DEFECT OF PROPERTY IN FUZZY LOGIC 327 8.5 BIBLIOGRAPHICAL
REMARKS AND OPEN PROBLEMS . . . 334 BIBLIOGRAPHY 337 INDEX 349
|
| any_adam_object | 1 |
| author | Ban, Adrian I. Gal, Sorin G. 1953- |
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| indexdate | 2024-07-09T22:00:59Z |
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| physical | XI, 352 S. |
| publishDate | 2002 |
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| series | Series on concrete and applicable mathematics |
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| spelling | Ban, Adrian I. Verfasser aut Defects of properties in mathematics quantitative characterizations Adran I. Ban ; Sorin G. Gal New Jersey <<[u.a.]>> World Scientic 2002 XI, 352 S. txt rdacontent n rdamedia nc rdacarrier Series on concrete and applicable mathematics 5 Gal, Sorin G. 1953- Verfasser (DE-588)121815943 aut Series on concrete and applicable mathematics 5 (DE-604)BV035419910 5 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018478996&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ban, Adrian I. Gal, Sorin G. 1953- Defects of properties in mathematics quantitative characterizations Series on concrete and applicable mathematics |
| title | Defects of properties in mathematics quantitative characterizations |
| title_auth | Defects of properties in mathematics quantitative characterizations |
| title_exact_search | Defects of properties in mathematics quantitative characterizations |
| title_full | Defects of properties in mathematics quantitative characterizations Adran I. Ban ; Sorin G. Gal |
| title_fullStr | Defects of properties in mathematics quantitative characterizations Adran I. Ban ; Sorin G. Gal |
| title_full_unstemmed | Defects of properties in mathematics quantitative characterizations Adran I. Ban ; Sorin G. Gal |
| title_short | Defects of properties in mathematics |
| title_sort | defects of properties in mathematics quantitative characterizations |
| title_sub | quantitative characterizations |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018478996&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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