Fuzzy and evidence reasoning:
Gespeichert in:
Hauptverfasser: | , |
---|---|
Format: | Buch |
Sprache: | German |
Veröffentlicht: |
Heidelberg
Physica-Verl.
1995
|
Schriftenreihe: | Studies in fuzziness
6 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XI, 360 S. graph. Darst. |
ISBN: | 3790808806 |
Internformat
MARC
LEADER | 00000nam a2200000 cb4500 | ||
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100 | 1 | |a Lee, E. Stanley |d 1930- |e Verfasser |0 (DE-588)120818213 |4 aut | |
245 | 1 | 0 | |a Fuzzy and evidence reasoning |c E. Stanley Lee ; Qing Zhu |
264 | 1 | |a Heidelberg |b Physica-Verl. |c 1995 | |
300 | |a XI, 360 S. |b graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a Studies in fuzziness |v 6 | |
650 | 7 | |a Incertitude |2 ram | |
650 | 7 | |a Logique floue |2 ram | |
650 | 7 | |a Logique multivalente |2 ram | |
650 | 7 | |a Possibilités, théorie des |2 ram | |
650 | 7 | |a Raisonnement |2 ram | |
650 | 7 | |a Représentation des connaissances |2 ram | |
650 | 4 | |a Evidence | |
650 | 4 | |a Fuzzy sets | |
650 | 4 | |a Probabilities | |
650 | 4 | |a Reasoning | |
650 | 0 | 7 | |a Interferenz |g Physik |0 (DE-588)4162000-8 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Dempster-Shafer-Theorie |0 (DE-588)4395834-5 |2 gnd |9 rswk-swf |
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650 | 0 | 7 | |a Beweisführung |0 (DE-588)4227233-6 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Fuzzy-Logik |0 (DE-588)4341284-1 |2 gnd |9 rswk-swf |
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689 | 5 | 0 | |a Logik |0 (DE-588)4036202-4 |D s |
689 | 5 | |8 4\p |5 DE-604 | |
689 | 6 | 0 | |a Fuzzy-Menge |0 (DE-588)4061868-7 |D s |
689 | 6 | |8 5\p |5 DE-604 | |
700 | 1 | |a Zhu, Qing |e Verfasser |4 aut | |
830 | 0 | |a Studies in fuzziness |v 6 |w (DE-604)BV021858135 |9 6 | |
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Datensatz im Suchindex
_version_ | 1805067357592223744 |
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adam_text |
TABLE
OF
CONTENTS
PREFACE
V
CHAPTER
1.
FUZZY
SETS
AND
POSSIBILITY
THEORY
1
1.1
FUZZY
SET
THEOIY
1
1.1.1
DEFINITION
2
1.1.2
ARITHMETIC
OPERATIONS
3
1.1.3
SET
OPERATIONS
ON
FUZZY
SETS
4
1.1.4
FUZZY
RELATIONS
5
1.1.5
OPERATIONS
ON
FUZZY
RELATIONS
7
1.1.6
COMPOSITION
OF
FUZZY
RELATIONS
10
1.2
POSSIBILITY
THEOIY
14
1.2.1
POSSIBILITY
DISTRIBUTION
14
1.2.2
CONFIDENCE
MEASURE
17
1.2.3
POSSIBILITY
AND
NECESSITY
MEASURES
BASED
ON
CONFIDENCE
MEASURE
18
1.2.4
POSSIBILITY
AND
NECESSITY
MEASURES
BASED
ON
FUZZY
SET
22
1.2.5
POSSIBILITY
VS.
PROBABILITY
25
1.3
DISCUSSIONS
26
CHAPTER
2.
KNOWLEDGE
REPRESENTATION,
FUZZY
TRUTH
SPACE,
AND
FUZZY
CONNECTIVES
27
2.1
LINGUISTIC
VARIABLE
27
2.1.1
THE
SYNTACTIC
RULE
28
2.1.2
THE
SEMANTIC
RULE
29
2.1.3
SEMANTIC
EQUIVALENCE
AND
SEMANTIC
ENTAILMENT
34
2.1.4
LINGUISTIC
ALGORITHM
35
2.2
FUZZY
TRUTH
SPACE
37
2.2.1
TRUTH
VALUE
SPACE
WITH
FINITE
LINGUISTIC
VALUES
37
2.2.2
TRUTH
VALUE
SPACE
WITH
COUNTABLE
INFINITE
LINGUISTIC
VALUES
38
2.2.3
TRUTH
VALUES
UNKNOWN
AND
UNDEFINED
42
2.3
FUZZY
LOGIC
CONNECTIVES
44
2.4
A
SIMPLER
APPROACH
TO
FUZZY
CONNECTIVES
48
2.5
THE
IMPLICATION
OPERATOR
50
2.6
KNOWLEDGE
REPRESENTATION
54
2.6.1
TRANSLATION
RULES
56
VIII
TABLE
OF
CONTENTS
2.6.2
RULES
PERTAINING
TO
MODIFICATION
56
2.6.3
RULES
PERTAINING
TO
COMPOSITION
58
2.6.4
RULES
PERTAINING
TO
QUANTIFICATION
60
2.6.5
RULES
PERTAINING
TO
QUALIFICATION
62
2.6.6
THE
CONCEPT
OF
TEST-SCORE
SEMANTICS
65
2.6.7
THE
CONCEPT
OF
CANONICAL
FORM
67
2.7
COMPARISON
OF
FUZZY
LOGIC
WITH
OTHER
LOGICAL
SYSTEMS
68
2.8
DISCUSSIONS
70
CHAPTER
3.
COMPOSITIONAL
RULES
OF
INFERENCE
73
3.1
INFERENCE
PATTERNS
IN
CLASSICAL
LOGIC
73
3.2
COMPOSITIONAL
RULE
OF
INFERENCE
74
3.2.1
ZADEH'S
COMPOSITIONAL
RULE
OF
INFERENCE
75
3.2.2
GENERALIZED
MODUS
PONENS
78
3.2.3
GENERALIZED
MODUS
TOLLENS
80
3.2.4
A
MODIFIED
GENERALIZED
MODUS
TOLLENS
81
3.3
MODIFIED
COMPOSITIONAL
RULE
OF
INFERENCE
83
3.3.1
COMPOSITION
BASED
ON
DRASTIC
PRODUCT
83
3.3.2
COMPOSITION
BASED
ON
MAX-T
COMPOSITION
OPERATOR
87
3.3.3
COMPOSITION
BASED
ON
ITERATIVE
COMPUTATION
88
3.4
DIFFERENT
CRI
PATTERNS
BASED
ON
THE
IMPLICATION
OPERATOR
89
3.4.1
CALCULATION
OF
THE
IMPLICATION
RELATION
MATRICES
90
3.4.2
DIFFERENT
COMBINATIONS
OF
IMPLICATION
AND
COMPOSITION
OPERATORS
98
3.5
CRITERIA
FOR
CHOOSING
INFERENCE
PATTERNS
98
3.5.1
THE
CRITERIA
OF
BALDWIN
AND
PILSWORTH
100
3.5.2
THE
CRITERIA
OF
MIZUMOTO
ET
AL.
100
3.5.3
GENERATING
FUNCTION
APPROACH
102
3.5.4
OTHER
CRITERIA
105
3.6
DISCUSSIONS
106
CHAPTER
4.
FUZZY
INFERENCE
REASONING
107
4.1
INFERENCE
BY
CATEGORICAL
RULES
108
4.2
INFERENCE
BY
SYLLOGISTIC
RULES
112
4.2.1
RELATIVE
SIGMA
COUNT
113
4.2.2
INTERSECTION/PRODUCT
SYLLOGISM
116
4.2.3
CHAINING
SYLLOGISM
117
4.2.4
CONJUNCTION
AND
DISJUNCTION
SYLLOGISMS
119
TABLE
OF
CONTENTS
IX
4.3
DISPOSITIONAL
REASONING
121
4.3.1
DISPOSITIONAL
COMMANDS
124
4.3.2
SUBDISPOSITION
125
4.3.3
OTHER
DISPOSITIONAL
REASONING
APPROACHES
127
4.4
FUZZY
ANALOGICAL
REASONING
129
4:4.1
FUZZY
SIMILARITY
MEASURES
130
4.4.2
ANALOGICAL
INFERENCE
OF
TURKSEN
AND
ZHONG
133
4.5
DISCUSSIONS
138
CHAPTER
5.
MULTIDIMENSIONAL
AND
INTERVAL
VALUED
FUZZY
INFERENCES
139
5.1
MULTIDIMENSIONAL
FUZZY
REASONING
140
5.1.1
THE
APPROACH
OF
MIZUMOTO
140
5.1.2
THE
APPROACH
OF
YAGER
148
5.1.3
THE
APPROACH
OF
TSUKAMOTO
153
5.1.4
THE
APPROACH
OF
NAFARIEH
AND
KELLER
153
5.1.5
THE
APPROACH
OF
TURKSEN
AND
ZHONG
158
5.1.6
THE
APPROACH
OF
SUGENO
AND
TAKAGI
159
5.1.7
THE
APPROACH
OF
BALDWIN
162
5.2
INTERVAL
VALUED
FUZZY
REASONING
166
5.2.1
INTERVAL
VALUED
ANALOGICAL
INFERENCE
166
5.2.2
INFERENCE
BY
INTERVAL
VALUED
FUZZY
SETS
171
5.3
DISCUSSIONS
176
CHAPTER
6.
DEMPSTER-SHAFER
THEORY
OF
EVIDENCE
177
6.1
FUNDAMENTALS
OF
DEMPSTER-SHAFER
THEORY
OF
EVIDENCE
177
6.1.1
BELIEF
AND
PLAUSIBILITY
MEASURES
178
6.1.2
DEMPSTER'S
RULE
OF
COMBINATION
181
6.1.3
RELATIONSHIPS
AMONG
THE
UNCERTAINTY
MEASURES
185
6.2
UNCERTAINTY
REASONING
USING
DEMPSTER-SHAFER
THEORY
187
6.2.1
UNCERTAINTY
REPRESENTATION
187
6.2.2
LOGIC
CONNECTIVES
189
6.2.3
BELIEF
COMBINATION
193
6.2.4
INFERENCE
PATTERNS
BASED
ON
BASIC
PROBABILITY
ASSIGNMENT
194
6.2.5
PROPAGATION
OF
BELIEF
AND
PLAUSIBILITY
202
6.3
IMPROVEMENTS
OF
DEMPSTER-SHAFER
APPROACH
205
6.3.1
METHODS
FOR
IMPROVING
THE
COMPUTATIONAL
EFFICIENCY
206
X
TABLE
OF
CONTENTS
6.3.2
METHODS
FOR
HANDLING
CONFLICTING
INFORMATION
216
6.3.3
THE
DEPENDENCY
CONSIDERATION
219
6.4
APPLICATIONS
221
6.5
DISCUSSIONS
223
CHAPTER
7.
EVIDENCE
REASONING
BASED
ON
TWO
VALUED
LOGIC
225
7.1
UNCERTAINTY
REPRESENTATION
226
7.1.1
CONTENTS
OF
THE
UNIVERSE
226
7.1.2
UNCERTAINTY
MODELING
226
7.2
LOGIC
CONNECTIVES
228
7.2.1
NEGATION
229
7.2.2
DEPENDENCY
ASSUMPTIONS
230
7.2.3
CONJUNCTION
232
7.2.4
DISJUNCTION
237
7.2.5
IMPLICATION
242
7.3
APPROXIMATE
REASONING
245
7.3.1
FORWARD
APPROXIMATE
REASONING
245
7.3.2
BACKWARD
APPROXIMATE
REASONING
252
7.4
BELIEF
COMBINATION
257
7.5
DISCUSSIONS
261
CHAPTER
8.
EVIDENCE
REASONING
BASED
ON
MULTIVALUED
LOGIC
263
8.1
MULTIVALUED
AND
INTERVAL
VALUED
LOGICS
263
8.1.1
MULTIVALUED
LOGIC
264
8.1.2
INTERVAL
VALUED
LOGIC
267
8.2.
UNCERTAINTY
MODELING
271
8.3
LOGIC
CONNECTIVES
272
8.3.1
NEGATION
273
8.3.2
DEPENDENCY
CONSIDERATIONS
274
8.3.3
CONJUNCTION
275
8.3.4
DISJUNCTION
280
8.3.5
IMPLICATION
284
8.4
INFERENCE
PROCEDURES
294
8.4.1
FORWARD
INFERENCE
BASED
ON
THE
KLEENE-DIENES
DEFINITION
295
8.4.2
FORWARD
INFERENCE
BASED
ON
THE
LUKASIEWICZ
DEFINITION
300
8.4.3
FORWARD
INFERENCE
BASED
ON
THE
KLEENE-DIENES-LUKASIEWICZ
DEFINITION
303
TABLE
OF
CONTENTS
XI
8.4.4
BACKWARD
INFERENCE
BASED
ON
THE
KLEENE-DIENES
DEFINITION
306
8.4.5
BACKWARD
INFERENCE
BASED
ON
THE
LUKASIEWICZ
DEFINITION
309
8.4.6
BACKWARD
INFERENCE
BASED
ON
THE
KLEENE-DIENES-LUKASIEWICZ
DEFINITION
312
8.5
RELATIONSHIPS
BETWEEN
FORWARD
AND
BACKWARD
INFERENCES
314
8.6
EVIDENCE
COMBINATION
318
8.7
DISCUSSIONS
319
CHAPTER
9.
INTERVAL
VALUED
EVIDENCE
THEORY
321
9.1
GENERALIZED
SUMMATION
AND
MULTIPLICATION
321
9.2
INTERVAL
VALUED
EVIDENCE
THEORY
325
9.2.1
INTERVAL
VALUED
BASIC
PROBABILITY
ASSIGNMENT
326
9.2.2
INTERVAL
VALUED
BELIEF
FUNCTION
328
9.2.3
INTERVAL
VALUED
PLAUSIBILITY
FUNCTION
329
9.2.4
EVIDENCE
COMBINATION
331
9.3
NUMERICAL
EXAMPLE
331
9.4
DISCUSSIONS
337
APPENDIX
339
REFERENCES
341
INDEX
355 |
any_adam_object | 1 |
author | Lee, E. Stanley 1930- Zhu, Qing |
author_GND | (DE-588)120818213 |
author_facet | Lee, E. Stanley 1930- Zhu, Qing |
author_role | aut aut |
author_sort | Lee, E. Stanley 1930- |
author_variant | e s l es esl q z qz |
building | Verbundindex |
bvnumber | BV010386881 |
callnumber-first | Q - Science |
callnumber-label | QA248 |
callnumber-raw | QA248.5 |
callnumber-search | QA248.5 |
callnumber-sort | QA 3248.5 |
callnumber-subject | QA - Mathematics |
classification_rvk | QH 233 SK 130 SK 150 ST 301 |
ctrlnum | (OCoLC)34295200 (DE-599)BVBBV010386881 |
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 Mathematik Wirtschaftswissenschaften |
format | Book |
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id | DE-604.BV010386881 |
illustrated | Illustrated |
indexdate | 2024-07-20T03:32:58Z |
institution | BVB |
isbn | 3790808806 |
language | German |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006916102 |
oclc_num | 34295200 |
open_access_boolean | |
owner | DE-92 DE-12 DE-739 DE-384 DE-355 DE-BY-UBR DE-473 DE-BY-UBG |
owner_facet | DE-92 DE-12 DE-739 DE-384 DE-355 DE-BY-UBR DE-473 DE-BY-UBG |
physical | XI, 360 S. graph. Darst. |
publishDate | 1995 |
publishDateSearch | 1995 |
publishDateSort | 1995 |
publisher | Physica-Verl. |
record_format | marc |
series | Studies in fuzziness |
series2 | Studies in fuzziness |
spelling | Lee, E. Stanley 1930- Verfasser (DE-588)120818213 aut Fuzzy and evidence reasoning E. Stanley Lee ; Qing Zhu Heidelberg Physica-Verl. 1995 XI, 360 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Studies in fuzziness 6 Incertitude ram Logique floue ram Logique multivalente ram Possibilités, théorie des ram Raisonnement ram Représentation des connaissances ram Evidence Fuzzy sets Probabilities Reasoning Interferenz Physik (DE-588)4162000-8 gnd rswk-swf Dempster-Shafer-Theorie (DE-588)4395834-5 gnd rswk-swf Logik (DE-588)4036202-4 gnd rswk-swf Beweisführung (DE-588)4227233-6 gnd rswk-swf Fuzzy-Logik (DE-588)4341284-1 gnd rswk-swf Fuzzy-Menge (DE-588)4061868-7 gnd rswk-swf Denken (DE-588)4011450-8 gnd rswk-swf Dempster-Shafer-Theorie (DE-588)4395834-5 s DE-604 Fuzzy-Logik (DE-588)4341284-1 s Beweisführung (DE-588)4227233-6 s 1\p DE-604 Denken (DE-588)4011450-8 s 2\p DE-604 Interferenz Physik (DE-588)4162000-8 s 3\p DE-604 Logik (DE-588)4036202-4 s 4\p DE-604 Fuzzy-Menge (DE-588)4061868-7 s 5\p DE-604 Zhu, Qing Verfasser aut Studies in fuzziness 6 (DE-604)BV021858135 6 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006916102&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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Lee, E. Stanley 1930- Zhu, Qing Fuzzy and evidence reasoning Studies in fuzziness Incertitude ram Logique floue ram Logique multivalente ram Possibilités, théorie des ram Raisonnement ram Représentation des connaissances ram Evidence Fuzzy sets Probabilities Reasoning Interferenz Physik (DE-588)4162000-8 gnd Dempster-Shafer-Theorie (DE-588)4395834-5 gnd Logik (DE-588)4036202-4 gnd Beweisführung (DE-588)4227233-6 gnd Fuzzy-Logik (DE-588)4341284-1 gnd Fuzzy-Menge (DE-588)4061868-7 gnd Denken (DE-588)4011450-8 gnd |
subject_GND | (DE-588)4162000-8 (DE-588)4395834-5 (DE-588)4036202-4 (DE-588)4227233-6 (DE-588)4341284-1 (DE-588)4061868-7 (DE-588)4011450-8 |
title | Fuzzy and evidence reasoning |
title_auth | Fuzzy and evidence reasoning |
title_exact_search | Fuzzy and evidence reasoning |
title_full | Fuzzy and evidence reasoning E. Stanley Lee ; Qing Zhu |
title_fullStr | Fuzzy and evidence reasoning E. Stanley Lee ; Qing Zhu |
title_full_unstemmed | Fuzzy and evidence reasoning E. Stanley Lee ; Qing Zhu |
title_short | Fuzzy and evidence reasoning |
title_sort | fuzzy and evidence reasoning |
topic | Incertitude ram Logique floue ram Logique multivalente ram Possibilités, théorie des ram Raisonnement ram Représentation des connaissances ram Evidence Fuzzy sets Probabilities Reasoning Interferenz Physik (DE-588)4162000-8 gnd Dempster-Shafer-Theorie (DE-588)4395834-5 gnd Logik (DE-588)4036202-4 gnd Beweisführung (DE-588)4227233-6 gnd Fuzzy-Logik (DE-588)4341284-1 gnd Fuzzy-Menge (DE-588)4061868-7 gnd Denken (DE-588)4011450-8 gnd |
topic_facet | Incertitude Logique floue Logique multivalente Possibilités, théorie des Raisonnement Représentation des connaissances Evidence Fuzzy sets Probabilities Reasoning Interferenz Physik Dempster-Shafer-Theorie Logik Beweisführung Fuzzy-Logik Fuzzy-Menge Denken |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006916102&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV021858135 |
work_keys_str_mv | AT leeestanley fuzzyandevidencereasoning AT zhuqing fuzzyandevidencereasoning |