Uncertainty theory: with 4 tables
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2007
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Studies in fuzziness and soft computing
154 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 237 - 251 |
| Beschreibung: | X, 255 S. 24 cm |
| ISBN: | 9783540731641 |
Internformat
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| 250 | |a 2. ed. | ||
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| 490 | 1 | |a Studies in fuzziness and soft computing |v 154 | |
| 500 | |a Literaturverz. S. 237 - 251 | ||
| 650 | 4 | |a Fuzzy-Wahrscheinlichkeit | |
| 650 | 4 | |a Fuzzy-Zufallsvariable | |
| 650 | 4 | |a Ungewissheit - Axiom | |
| 650 | 4 | |a Fuzzy statistics | |
| 650 | 4 | |a Probabilities | |
| 650 | 4 | |a Uncertainty (Information theory) | |
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| 650 | 0 | 7 | |a Mathematisches Modell |0 (DE-588)4114528-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Axiomatik |0 (DE-588)4004038-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wahrscheinlichkeitstheorie |0 (DE-588)4079013-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Ungewissheit |0 (DE-588)4137198-7 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804137117169745920 |
|---|---|
| adam_text | BAODING LIU UNCERTAINTY THEORY SECOND EDITION WITH 10 FIGURES AND 4
TABLES VQ. SPRINGER CONTENTS PREFACE IX 1 PREREQUISITES 1 1.1 MEASURABLE
SETS AND MEASURE 1 1.2 BOREL SETS AND LEBESGUE MEASURE 6 1.3 MEASURABLE
FUNCTIONS 10 1.4 LEBESGUE INTEGRAL 13 1.5 LEBESGUE-STIELTJES INTEGRAL 17
2 PROBABILITY THEORY , 19 2.1 PROBABILITY MEASURE 19 2.2 RANDOM
VARIABLES 22 2.3 PROBABILITY DISTRIBUTION 26 2.4 INDEPENDENCE . F 31 2.5
IDENTICAL DISTRIBUTION 33 2.6 EXPECTED VALUE 34 2.7 VARIANCE 43 2.8
MOMENTS 45 2.9 CRITICAL VALUES 47 2.10 ENTROPY 49 2.11 DISTANCE 53 2.12
INEQUALITIES 53 2.13 CONVERGENCE CONCEPTS -* V ^ 2.14 CHARACTERISTIC
FUNCTION . . . -. 60 2.15 LAWS OF LARGE NUMBERS 63 2.16 CENTRAL LIMIT
THEOREMS 69 2.17 STOCHASTIC SIMULATIONS 73 2.18 CONDITIONAL PROBABILITY
76 3 CREDIBILITY THEORY 81 3.1 CREDIBILITY MEASURE 81 3.2 FUZZY
VARIABLES 91 3.3 MEMBERSHIP FUNCTION 93 VI CONTENTS 3.4 CREDIBILITY
DISTRIBUTION 97 3.5 INDEPENDENCE 102 3.6 IDENTICAL DISTRIBUTION 107 3.7
EXPECTED VALUE 108 3.8 VARIANCE 123 3.9 MOMENTS 125 3.10 CRITICAL VALUES
128 3.11 ENTROPY 132 3.12 DISTANCE 138 3.13 INEQUALITIES 140 3.14
CONVERGENCE CONCEPTS 142 3.15 CHARACTERISTIC FUNCTION 146 3.16 FUZZY
SIMULATIONS 148 3.17 CONDITIONAL CREDIBILITY 150 4 CHANCE THEORY 157 4.1
CHANCE SPACE 157 4.2 HYBRID VARIABLES 159 4.3 CHANCE MEASURE 166 4.4
CHANCE DISTRIBUTION 173 4.5 EXPECTED VALUE 175 4.6 VARIANCE 179 4.7
MOMENTS 180 4.8 INDEPENDENCE . . 182 4.9 IDENTICAL DISTRIBUTION 183 4.10
CRITICAL VALUES 184 4.11 ENTROPY 186 4.12 DISTANCE 187 4.13 INEQUALITIES
188 4.14 CONVERGENCE CONCEPTS 191 4.15 CHARACTERISTIC FUNCTION 195 4.16
HYBRID SIMULATIONS 196 4.17 CONDITIONAL CHANCE 199 5 UNCERTAINTY THEORY
- - 205 5.1 UNCERTAIN MEASURE 205 5.2 UNCERTAIN VARIABLES 210 5.3
UNCERTAINTY DISTRIBUTION 212 5.4 EXPECTED VALUE 213 5.5 VARIANCE 216 5.6
MOMENTS 218 5.7 INDEPENDENCE 219 5.8 IDENTICAL DISTRIBUTION 220 5.9
CRITICAL VALUES 220 5.10 ENTROPY 222 CONTENTS VII 5.11 DISTANCE 223 5.12
INEQUALITIES 223 5.13 CONVERGENCE CONCEPTS 226 5.14 CHARACTERISTIC
FUNCTION 227 5.15 CONDITIONAL UNCERTAINTY 228 6 SUPPLEMENTS 235 6.1
UNCERTAIN ELEMENTS 235 6.2 UNCERTAINTY RELATIONS 236 BIBLIOGRAPHY 237
LIST OF FREQUENTLY USED SYMBOLS 252 INDEX 253
|
| adam_txt |
BAODING LIU UNCERTAINTY THEORY SECOND EDITION WITH 10 FIGURES AND 4
TABLES VQ. SPRINGER CONTENTS PREFACE IX 1 PREREQUISITES 1 1.1 MEASURABLE
SETS AND MEASURE 1 1.2 BOREL SETS AND LEBESGUE MEASURE 6 1.3 MEASURABLE
FUNCTIONS 10 1.4 LEBESGUE INTEGRAL 13 1.5 LEBESGUE-STIELTJES INTEGRAL 17
2 PROBABILITY THEORY , 19 2.1 PROBABILITY MEASURE 19 2.2 RANDOM
VARIABLES 22 2.3 PROBABILITY DISTRIBUTION 26 2.4 INDEPENDENCE . F 31 2.5
IDENTICAL DISTRIBUTION 33 2.6 EXPECTED VALUE 34 2.7 VARIANCE 43 2.8
MOMENTS 45 2.9 CRITICAL VALUES 47 2.10 ENTROPY 49 2.11 DISTANCE 53 2.12
INEQUALITIES 53 2.13 CONVERGENCE CONCEPTS -* V ^ 2.14 CHARACTERISTIC
FUNCTION . . ." -. 60 2.15 LAWS OF LARGE NUMBERS 63 2.16 CENTRAL LIMIT
THEOREMS 69 2.17 STOCHASTIC SIMULATIONS 73 2.18 CONDITIONAL PROBABILITY
76 3 CREDIBILITY THEORY 81 3.1 CREDIBILITY MEASURE 81 3.2 FUZZY
VARIABLES 91 3.3 MEMBERSHIP FUNCTION 93 VI CONTENTS 3.4 CREDIBILITY
DISTRIBUTION 97 3.5 INDEPENDENCE 102 3.6 IDENTICAL DISTRIBUTION 107 3.7
EXPECTED VALUE 108 3.8 VARIANCE 123 3.9 MOMENTS 125 3.10 CRITICAL VALUES
128 3.11 ENTROPY 132 3.12 DISTANCE 138 3.13 INEQUALITIES 140 3.14
CONVERGENCE CONCEPTS 142 3.15 CHARACTERISTIC FUNCTION 146 3.16 FUZZY
SIMULATIONS 148 3.17 CONDITIONAL CREDIBILITY 150 4 CHANCE THEORY 157 4.1
CHANCE SPACE 157 4.2 HYBRID VARIABLES 159 4.3 CHANCE MEASURE 166 4.4
CHANCE DISTRIBUTION 173 4.5 EXPECTED VALUE 175 4.6 VARIANCE 179 4.7
MOMENTS 180 4.8 INDEPENDENCE . . 182 4.9 IDENTICAL DISTRIBUTION 183 4.10
CRITICAL VALUES 184 4.11 ENTROPY 186 4.12 DISTANCE 187 4.13 INEQUALITIES
188 4.14 CONVERGENCE CONCEPTS 191 4.15 CHARACTERISTIC FUNCTION 195 4.16
HYBRID SIMULATIONS 196 4.17 CONDITIONAL CHANCE 199 5 UNCERTAINTY THEORY
- - 205 5.1 UNCERTAIN MEASURE 205 5.2 UNCERTAIN VARIABLES 210 5.3
UNCERTAINTY DISTRIBUTION 212 5.4 EXPECTED VALUE 213 5.5 VARIANCE 216 5.6
MOMENTS 218 5.7 INDEPENDENCE 219 5.8 IDENTICAL DISTRIBUTION 220 5.9
CRITICAL VALUES 220 5.10 ENTROPY 222 CONTENTS VII 5.11 DISTANCE 223 5.12
INEQUALITIES 223 5.13 CONVERGENCE CONCEPTS 226 5.14 CHARACTERISTIC
FUNCTION 227 5.15 CONDITIONAL UNCERTAINTY 228 6 SUPPLEMENTS 235 6.1
UNCERTAIN ELEMENTS 235 6.2 UNCERTAINTY RELATIONS 236 BIBLIOGRAPHY 237
LIST OF FREQUENTLY USED SYMBOLS 252 INDEX 253 |
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| any_adam_object_boolean | 1 |
| author | Liu, Baoding 1965- |
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| author_sort | Liu, Baoding 1965- |
| author_variant | b l bl |
| building | Verbundindex |
| bvnumber | BV022862516 |
| callnumber-first | Q - Science |
| callnumber-label | Q375 |
| callnumber-raw | Q375 |
| callnumber-search | Q375 |
| callnumber-sort | Q 3375 |
| callnumber-subject | Q - General Science |
| classification_rvk | ST 301 |
| ctrlnum | (OCoLC)255894278 (DE-599)BVBBV022862516 |
| dewey-full | 511 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511 |
| dewey-search | 511 |
| dewey-sort | 3511 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| discipline_str_mv | Informatik Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV022862516 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T18:44:11Z |
| indexdate | 2024-07-09T21:07:11Z |
| institution | BVB |
| isbn | 9783540731641 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016067749 |
| oclc_num | 255894278 |
| open_access_boolean | |
| owner | DE-20 DE-703 DE-83 |
| owner_facet | DE-20 DE-703 DE-83 |
| physical | X, 255 S. 24 cm |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Springer |
| record_format | marc |
| series | Studies in fuzziness and soft computing |
| series2 | Studies in fuzziness and soft computing |
| spelling | Liu, Baoding 1965- Verfasser (DE-588)12374539X aut Uncertainty theory with 4 tables Baoding Liu 2. ed. Berlin [u.a.] Springer 2007 X, 255 S. 24 cm txt rdacontent n rdamedia nc rdacarrier Studies in fuzziness and soft computing 154 Literaturverz. S. 237 - 251 Fuzzy-Wahrscheinlichkeit Fuzzy-Zufallsvariable Ungewissheit - Axiom Fuzzy statistics Probabilities Uncertainty (Information theory) Fuzzy-Menge (DE-588)4061868-7 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Axiomatik (DE-588)4004038-0 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Ungewissheit (DE-588)4137198-7 gnd rswk-swf Grobmenge (DE-588)4362502-2 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 s Axiomatik (DE-588)4004038-0 s DE-604 Fuzzy-Menge (DE-588)4061868-7 s Grobmenge (DE-588)4362502-2 s 1\p DE-604 Ungewissheit (DE-588)4137198-7 s Mathematisches Modell (DE-588)4114528-8 s 2\p DE-604 Studies in fuzziness and soft computing 154 (DE-604)BV021858135 154 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016067749&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Liu, Baoding 1965- Uncertainty theory with 4 tables Studies in fuzziness and soft computing Fuzzy-Wahrscheinlichkeit Fuzzy-Zufallsvariable Ungewissheit - Axiom Fuzzy statistics Probabilities Uncertainty (Information theory) Fuzzy-Menge (DE-588)4061868-7 gnd Mathematisches Modell (DE-588)4114528-8 gnd Axiomatik (DE-588)4004038-0 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Ungewissheit (DE-588)4137198-7 gnd Grobmenge (DE-588)4362502-2 gnd |
| subject_GND | (DE-588)4061868-7 (DE-588)4114528-8 (DE-588)4004038-0 (DE-588)4079013-7 (DE-588)4137198-7 (DE-588)4362502-2 |
| title | Uncertainty theory with 4 tables |
| title_auth | Uncertainty theory with 4 tables |
| title_exact_search | Uncertainty theory with 4 tables |
| title_exact_search_txtP | Uncertainty theory with 4 tables |
| title_full | Uncertainty theory with 4 tables Baoding Liu |
| title_fullStr | Uncertainty theory with 4 tables Baoding Liu |
| title_full_unstemmed | Uncertainty theory with 4 tables Baoding Liu |
| title_short | Uncertainty theory |
| title_sort | uncertainty theory with 4 tables |
| title_sub | with 4 tables |
| topic | Fuzzy-Wahrscheinlichkeit Fuzzy-Zufallsvariable Ungewissheit - Axiom Fuzzy statistics Probabilities Uncertainty (Information theory) Fuzzy-Menge (DE-588)4061868-7 gnd Mathematisches Modell (DE-588)4114528-8 gnd Axiomatik (DE-588)4004038-0 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Ungewissheit (DE-588)4137198-7 gnd Grobmenge (DE-588)4362502-2 gnd |
| topic_facet | Fuzzy-Wahrscheinlichkeit Fuzzy-Zufallsvariable Ungewissheit - Axiom Fuzzy statistics Probabilities Uncertainty (Information theory) Fuzzy-Menge Mathematisches Modell Axiomatik Wahrscheinlichkeitstheorie Ungewissheit Grobmenge |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016067749&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV021858135 |
| work_keys_str_mv | AT liubaoding uncertaintytheorywith4tables |