Fuzzy and multi-level decision making: an interactive computational approach
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
London [u.a.]
Springer
2001
|
| Series: | Advanced manufacturing
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 193 S. graph. Darst. |
| ISBN: | 1852331577 |
Staff View
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Record in the Search Index
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|---|---|
| adam_text | Table of Contents
1. Introduction 1
1.1 Decision Making in Hierarchy Systems: Multi ploy versus Interactive
Decisions 1
1.2 Bi Level and Multi level Programming 3
1.3 Characteristics of Duo ploy Systems 5
1.4 Characteristics of Duo ploy Systems with Multi followers 7
1.5 Fuzzy Interactive Decision Making 8
2. Linear Bi level Programming 11
2.1 Linear Bi level Programming 11
2.2 Extreme point Search 15
2.2.1 fcth best Algorithm 15
2.2.2 Grid search Algorithm 17
2.3 Transformation Approach 23
2.3.1 Mixed integer Approach 23
2.3.2 Complementary pivot algorithm 25
2.3.2.1 Parametric Complementary pivot Algorithm 25
2.3.2.2 Sequential Linear Complementary Algorithm with Branch
and bound 29
2.3.3 Branch and bound Algorithm 32
2.3.3.1 Algorithm of Bard and Moore 32
2.3.3.2 Algorithm of Hansen et al 36
2.3.4 Penalty function Approach 42
2.4 Discussions 48
3. Other Multi level Programming Algorithms 49
3.1 Linear Bi level Distributed Programming 49
3.1.1 Mixed integer Problem with Complementary Slackness 50
3.1.2 Penalty function Approach 53
3.2 Linear Three level Programming Problem 55
viii Table of Contents
3.2.1 Hybrid Extreme point Search Algorithm 57
3.2.2 Mixed integer Problem with Complementary Slackness 61
3.2.3 Simplex cutting plane Algorithm 64
3.2.4 Penalty function Approach 68
3.3 Non linear Multi level Programming 69
3.3.1 Sequential Linear quadratic Complementary Algorithm with
Branch and bound 69
3.3.2 Steepest descent Approach 72
3.3.3 Evolutionary Approach: Genetic Algorithms 76
3.4 Discrete Bi level Programming 79
3.5 Discussions 80
4. Possibility Theory and Knowledge Representation 81
4.1 Possibility Theory 81
4.1.1 Possibility Distribution 82
4.1.2 Possibility Measure 84
4.1.3 Possibility Measure Based on Fuzzy Set with Fuzzy Subset 85
4.1.4 Possibility versus Probability 87
4.2 Knowledge Representation 88
4.2.1 Linguistic Variable 89
4.2.2 The Syntactic Rule 90
4.2.3 The Semantic Rule 92
4.2.4 Test score Semantics 93
5. Fuzzy Decision Making 97
5.1 Fuzzy Linear Programming 97
5.2 Multiple objective Programming 100
5.2.1 Compromise Programming 101
5.2.2 Goal Programming 103
5.3 Fuzzy Approach to Multiple objective Programming 104
5.4 Fuzzy Multiple objective Programming with Fuzzy Parameters 106
5.5 Possibility Programming 110
5.5.1 Possibility Linear Programming Ill
5.5.2 Multiple objective Possibility Programming 114
6. Fuzzy Interactive Multi level Decision Making 117
6.1 Fuzzy Bi level Interactive Decision Making 118
6.2 Fuzzy Bi level Interactive Decision Making with Multi followers 126
6.3 Fuzzy Multi level Interactive Decision Making 129
6.4 Fuzzy Multi level Interactive Decision Making with Multi followers 134
6.5 Discussions 138
7. Aggregation of Fuzzy Systems in Multi level Decisions 139
7.1 Compensation in Bi level Decisions 141
7.2Compensation in Multiple level Problems 144
7.3 Bi level Decentralized Problem with Equally Important Objectives 147
7.4 Bi level Decentralized Problem with Unequally Important Objectives 150
7.5 Multiple level Decentralized Problem 152
Table of Contents ix
7.6Fuzzy Multi level Problem 152
7.7 Discussions 154
8. Possibilistic Minimum cost Flow Problem 157
8.1 Minimum cost Flow Problem 158
8.2 Possibility Approach to Minimum cost Flow Problem 159
8.2.1 Capacity Constraint Modification 160
8.2.2 Possibility Programming 162
8.3 Possibility Approach to Multi objective Minimum cost Flow Problem.... 165
8.4Possibility Approach to Multi level Minimum cost Flow Problem 169
8.5 Discussions 176
References 177
Index 189
|
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| dewey-ones | 006 - Special computer methods |
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| discipline | Informatik Mathematik |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:28:06Z |
| institution | BVB |
| isbn | 1852331577 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008461612 |
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| physical | IX, 193 S. graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Springer |
| record_format | marc |
| series2 | Advanced manufacturing |
| spelling | Lee, E. Stanley 1930- Verfasser (DE-588)120818213 aut Fuzzy and multi-level decision making an interactive computational approach E. Stanley Lee and Hsu-Shih Shih London [u.a.] Springer 2001 IX, 193 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Advanced manufacturing Fuzzy logic Programming (Mathematics) Mathematical optimization Operations research Soft computing Mehrebenenoptimierung (DE-588)4634607-7 gnd rswk-swf Entscheidungsfindung (DE-588)4113446-1 gnd rswk-swf Fuzzy-Logik (DE-588)4341284-1 gnd rswk-swf Entscheidungsfindung (DE-588)4113446-1 s Mehrebenenoptimierung (DE-588)4634607-7 s Fuzzy-Logik (DE-588)4341284-1 s DE-604 Shih, Hsu-shih 1955- Verfasser (DE-588)120818221 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008461612&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lee, E. Stanley 1930- Shih, Hsu-shih 1955- Fuzzy and multi-level decision making an interactive computational approach Fuzzy logic Programming (Mathematics) Mathematical optimization Operations research Soft computing Mehrebenenoptimierung (DE-588)4634607-7 gnd Entscheidungsfindung (DE-588)4113446-1 gnd Fuzzy-Logik (DE-588)4341284-1 gnd |
| subject_GND | (DE-588)4634607-7 (DE-588)4113446-1 (DE-588)4341284-1 |
| title | Fuzzy and multi-level decision making an interactive computational approach |
| title_auth | Fuzzy and multi-level decision making an interactive computational approach |
| title_exact_search | Fuzzy and multi-level decision making an interactive computational approach |
| title_full | Fuzzy and multi-level decision making an interactive computational approach E. Stanley Lee and Hsu-Shih Shih |
| title_fullStr | Fuzzy and multi-level decision making an interactive computational approach E. Stanley Lee and Hsu-Shih Shih |
| title_full_unstemmed | Fuzzy and multi-level decision making an interactive computational approach E. Stanley Lee and Hsu-Shih Shih |
| title_short | Fuzzy and multi-level decision making |
| title_sort | fuzzy and multi level decision making an interactive computational approach |
| title_sub | an interactive computational approach |
| topic | Fuzzy logic Programming (Mathematics) Mathematical optimization Operations research Soft computing Mehrebenenoptimierung (DE-588)4634607-7 gnd Entscheidungsfindung (DE-588)4113446-1 gnd Fuzzy-Logik (DE-588)4341284-1 gnd |
| topic_facet | Fuzzy logic Programming (Mathematics) Mathematical optimization Operations research Soft computing Mehrebenenoptimierung Entscheidungsfindung Fuzzy-Logik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008461612&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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