First course on fuzzy theory and applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2005
|
| Schriftenreihe: | Advances in soft computing
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 335 S. graph. Darst. 24 cm |
| ISBN: | 3540229884 |
Internformat
MARC
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| 100 | 1 | |a Yi, Kwang-hyŏng |d 1954- |e Verfasser |0 (DE-588)129504041 |4 aut | |
| 245 | 1 | 0 | |a First course on fuzzy theory and applications |c Kwang H. Lee |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2005 | |
| 300 | |a X, 335 S. |b graph. Darst. |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Advances in soft computing | |
| 650 | 0 | 7 | |a Fuzzy-Menge |0 (DE-588)4061868-7 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804133266778750976 |
|---|---|
| adam_text | Table of Contents
Chapter
1.
FUZZY SETS
—..........------------------------------------------..... 1
1.1
Sets
-·----------------------.......----------------------....................... 1
1.2
Operation of Sets
-------..............—..................----------------3
1.3
Characteristics of Crisp Set
..................-------------------...........5
1.4
Definition of Fuzzy Set
.............................................-........7
1.5
Expanding Concepts of Fuzzy Set
...........-..........---------......-- 14
1.6
Standard Operation of Fuzzy Set
....................---------.....-.....21
[SUMMARY]
—..................................-.....-------...........------22
[EXERCISES]
-....................-..............-..................-........... 24
Chapter
2.
THE OPERATION OF FUZZY SET
..........------------------------27
2.
J
Standard Operations of Fuzzy Set
........................................27
2.2
Fuzzy Complement
----------.......................-........-............- 28
2.3
Fuzzy Union
...........................-..................-------...........- 32
2.4
Fuzzy Intersection
..........................-......----------..........-----35
2.5
Other Operations In Fuzzy Set
-------........-------.......-.............38
2.6
Т
-norms and T-conorms
.............—...........................-------45
[SUMMARY]
.........—.....-........—-........—-....................... 47
[EXERCISES]
.............................---------------...................... 51
Chapter
3.
FUZZY RELATION AND COMPOSITION
-------------------------53
3.1
Crisp Relation
...........-...................................................53
3.2
Properties of Relation on a Single Set
-----------......---------------62
3.3
Fuzzy Relation
.....—.....................—............................68
3.4
Extension of Fuzzy Set
.........—......-........-.....---------.........80
[SUMMARY]
--------.................-----.................................-— 86
[EXERCISES]
-...........-...........................................---------- 88
VIII
·
Table of
Contents
Chapter
4.
FUZZY GRAPH AND RELATION
-----------------------............91
4.1
Fuzzy Graph
.........................—-.........---------.................91
4.2
Characteristics of Fuzzy Relation
.......—............................. 103
4.3
Classification of Fuzzy Relation
...............................-........ 108
4.4
Other Fuzzy Relations
.......-...........--------......-.................. 116
[SUMMARY]
.......................-.......................................... 124
[EXERCISES]
—...............................-..................—........ 126
Chapters.
FUZZY NUMBER
------------------------------------..........--------- 129
5.1
Concept of Fuzzy Number
-------........................-----.......... 129
5.2
Operation of Fuzzy Number
.............................—............ 132
5.3
Triangular Fuzzy Number
—............-----------.................— 137
5.4
Other Types of Fuzzy Number
-------.................----------.......145
[SUMMARY]
----------..................-..................-................. 149
[EXERCISES]
-------.................-...........................-............. 150
Chapter
6.
FUZZY FUNCTION
------------------------------............------- 153
6.1
Kinds of Fuzzy Function
...........-............-------.................. 153
6.2
Fuzzy
Extrema
of Function
.............................................. 158
6.3
integration and
Différenciation
of Fuzzy Function
------------------ 163
[SUMMARY]
.....-...............-..............-..............--------....... 168
[EXERCISES]
...........................................................-------
1
69
Chapter
7.
PROBABILITY AND UNCERTAINTY
--......--------........... 171
7.1
Probability and Possibility
..............-................................ 171
7.2
Fuzzy Event
..............-------........................................... 174
7.3
Uncertainty
........................................-....................—- 179
7.4
Measure of Fuzziness
...............-------......-.......................- 181
[SUMMARY]
......-.........................-...................-—......... 189
[EXERCISES]
..............-...........-...........—........................ 190
Chapter
8.
FUZZY LOGIC
--------..........-----------.........------------------- 193
8.1
Classical Logic
............................----------------------......... 193
8.2
Fuzzy Logic
.....................-............................------........201
Table
of
Contents
IX
8.3
Linguistic
Variable......................-......................-..........204
8.4
Fuzzy Truth Qualifier
-.........................-..................-......206
5.5 Representation of Fuzzy Rule
..............-.........................— 210
[SUMMARY]
............................................-..................... 213
[EXERCISES]
................................................-..........-------215
Chapter
9.
FUZZY INFERENCE
......-................—-.......—........— 217
9.1
Composition of Rules
----------........—...................-.........— 217
9.2
Fuzzy Rules and
Implication
...........................-................221
9.3
Inference Mechanism
—.............-----........-............-----......224
9.4
Inference Methods
............-...........................------........- 236
[SUMMARY]
-------.......................-----------------------............ 247
[EXERCISES]
.............................---------........-------------.....250
Chapter
10.
FUZZY CONTROL AND FUZZY EXPERT SYSTEMS
-------253
10.1
Fuzzy Logic Controller
----------------................--------------253
10.2
Fuzzification Interface Component
............................-------255
10.3
Knowledge Base Component
............-........-.............-------257
10.4
Inference (Decision Making Logic)
.............-........-............265
10.5
Denazification
.....................-------...........-........-........-- 269
10.6
Design Procedure of Fuzzy Logic Controller
........................272
10.7
Application Example of FLC Design
—.............-............— 273
10.8
Fuzzy Expert Systems
.........-.............-........-.........--------277
[SUMMARY]
------------------------......................-----.............. 280
[EXERCISES]
.......-............................-.............................282
Chapter
11.
FUSION OF FUZZY SYSTEM AND NEURAL NETWORKS
--.....285
11.1
Neural Networks
----------.........................-........-...........285
11.2
Fusion With Neural Networks
—............-............-............290
[SUMMARY]
-----------------........-............-........-................. 306
[EXERCISES]
...........------............-.................-..................308
Chapter
12.
FUSION OF FUZZY SYSTEM AND GENETIC ALGORITHMS
-— 309
12.1
Genetic Algorithms ~
.............-............------------.............309
12.2
Fusion With Genetic Algorithms
—........-.......----------........314
X Table of
Contents
[SUMMARY]
...................-------------.........................-------- 323
[EXERCISES]
.................-------............................-—........-324
BIBLIOGRAPH -----------------------------------------------------------325
INDEX
-----------........---------------..........-------------------------333
|
| any_adam_object | 1 |
| author | Yi, Kwang-hyŏng 1954- |
| author_GND | (DE-588)129504041 |
| author_facet | Yi, Kwang-hyŏng 1954- |
| author_role | aut |
| author_sort | Yi, Kwang-hyŏng 1954- |
| author_variant | k h y khy |
| building | Verbundindex |
| bvnumber | BV019782310 |
| classification_rvk | SK 350 ST 301 |
| classification_tum | DAT 718f DAT 773f |
| ctrlnum | (OCoLC)249426564 (DE-599)BVBBV019782310 |
| discipline | Informatik Mathematik |
| format | Book |
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| id | DE-604.BV019782310 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T20:05:59Z |
| institution | BVB |
| isbn | 3540229884 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013108223 |
| oclc_num | 249426564 |
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| owner | DE-824 DE-91G DE-BY-TUM DE-384 DE-634 |
| owner_facet | DE-824 DE-91G DE-BY-TUM DE-384 DE-634 |
| physical | X, 335 S. graph. Darst. 24 cm |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Springer |
| record_format | marc |
| series2 | Advances in soft computing |
| spelling | Yi, Kwang-hyŏng 1954- Verfasser (DE-588)129504041 aut First course on fuzzy theory and applications Kwang H. Lee Berlin [u.a.] Springer 2005 X, 335 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Advances in soft computing Fuzzy-Menge (DE-588)4061868-7 gnd rswk-swf Anwendung (DE-588)4196864-5 gnd rswk-swf Fuzzy-Menge (DE-588)4061868-7 s DE-604 Anwendung (DE-588)4196864-5 s Digitalisierung UB Augsburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013108223&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Yi, Kwang-hyŏng 1954- First course on fuzzy theory and applications Fuzzy-Menge (DE-588)4061868-7 gnd Anwendung (DE-588)4196864-5 gnd |
| subject_GND | (DE-588)4061868-7 (DE-588)4196864-5 |
| title | First course on fuzzy theory and applications |
| title_auth | First course on fuzzy theory and applications |
| title_exact_search | First course on fuzzy theory and applications |
| title_full | First course on fuzzy theory and applications Kwang H. Lee |
| title_fullStr | First course on fuzzy theory and applications Kwang H. Lee |
| title_full_unstemmed | First course on fuzzy theory and applications Kwang H. Lee |
| title_short | First course on fuzzy theory and applications |
| title_sort | first course on fuzzy theory and applications |
| topic | Fuzzy-Menge (DE-588)4061868-7 gnd Anwendung (DE-588)4196864-5 gnd |
| topic_facet | Fuzzy-Menge Anwendung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013108223&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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