Fuzzy Geometric Programming:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boston, MA
Springer US
2002
|
| Series: | Applied Optimization
76 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Fuzzy geometric programming was originated by the author in the Proceed ing of the second IFSA conferences, 1987(Tokyo) 14 years ago. Later, the paper was invited for formal publication in the International Journal of Fuzzy Sets and Systems. From then on, more and more papers have been written by scholars all over the world who have been interested in its research. So this programming method has been acknowledged by experts and has gradually formed a new branch of fuzzy mathematics. lnspired by Zadeh's fuzzy sets theory, fuzzy geometric programming emerges from the combination of fuzzy sets theory with geometric programming, where models are built in the fuzzy posynomial and the reverse geometric program ming. The present book is intended to discuss fuzziness of objective function and constraint conditions, a variety of fuzzy numbers in coefficients and vari ables and problems about multi-objective fuzzy geometric programming. It establishes and rounds out an entire theory system, showing that there exist conditions of fuzzy optimal or most satisfactory solutions in fuzzy geometric ptogramming, and it develops some effective algorithms. In order to introduce this new branch, the book aims at the exposition of three points: encompassing ideas and conception, theory and methods, and diffusion and application. lt lays more emphasis on the second point than the first one, and less on the third. Besides, it introduces some knowledge of classical geometric programming and of fuzzy sets theory and application examples of fuzzy geometric programming in electric power systems as weil |
| Physical Description: | 1 Online-Ressource (XX, 268 p) |
| ISBN: | 9781461500094 9781461348849 |
| ISSN: | 1384-6485 |
| DOI: | 10.1007/978-1-4615-0009-4 |
Staff View
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Record in the Search Index
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
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| discipline | Mathematik |
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| format | Electronic eBook |
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| id | DE-604.BV042420836 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:07Z |
| institution | BVB |
| isbn | 9781461500094 9781461348849 |
| issn | 1384-6485 |
| language | English |
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| spelling | Cao, Bing-Yuan Verfasser aut Fuzzy Geometric Programming by Bing-Yuan Cao Boston, MA Springer US 2002 1 Online-Ressource (XX, 268 p) txt rdacontent c rdamedia cr rdacarrier Applied Optimization 76 1384-6485 Fuzzy geometric programming was originated by the author in the Proceed ing of the second IFSA conferences, 1987(Tokyo) 14 years ago. Later, the paper was invited for formal publication in the International Journal of Fuzzy Sets and Systems. From then on, more and more papers have been written by scholars all over the world who have been interested in its research. So this programming method has been acknowledged by experts and has gradually formed a new branch of fuzzy mathematics. lnspired by Zadeh's fuzzy sets theory, fuzzy geometric programming emerges from the combination of fuzzy sets theory with geometric programming, where models are built in the fuzzy posynomial and the reverse geometric program ming. The present book is intended to discuss fuzziness of objective function and constraint conditions, a variety of fuzzy numbers in coefficients and vari ables and problems about multi-objective fuzzy geometric programming. It establishes and rounds out an entire theory system, showing that there exist conditions of fuzzy optimal or most satisfactory solutions in fuzzy geometric ptogramming, and it develops some effective algorithms. In order to introduce this new branch, the book aims at the exposition of three points: encompassing ideas and conception, theory and methods, and diffusion and application. lt lays more emphasis on the second point than the first one, and less on the third. Besides, it introduces some knowledge of classical geometric programming and of fuzzy sets theory and application examples of fuzzy geometric programming in electric power systems as weil Mathematics Logic, Symbolic and mathematical Mathematical optimization Physics Engineering Operations research Mathematical Logic and Foundations Optimization Complexity Operation Research/Decision Theory Ingenieurwissenschaften Mathematik https://doi.org/10.1007/978-1-4615-0009-4 Verlag Volltext |
| spellingShingle | Cao, Bing-Yuan Fuzzy Geometric Programming Mathematics Logic, Symbolic and mathematical Mathematical optimization Physics Engineering Operations research Mathematical Logic and Foundations Optimization Complexity Operation Research/Decision Theory Ingenieurwissenschaften Mathematik |
| title | Fuzzy Geometric Programming |
| title_auth | Fuzzy Geometric Programming |
| title_exact_search | Fuzzy Geometric Programming |
| title_full | Fuzzy Geometric Programming by Bing-Yuan Cao |
| title_fullStr | Fuzzy Geometric Programming by Bing-Yuan Cao |
| title_full_unstemmed | Fuzzy Geometric Programming by Bing-Yuan Cao |
| title_short | Fuzzy Geometric Programming |
| title_sort | fuzzy geometric programming |
| topic | Mathematics Logic, Symbolic and mathematical Mathematical optimization Physics Engineering Operations research Mathematical Logic and Foundations Optimization Complexity Operation Research/Decision Theory Ingenieurwissenschaften Mathematik |
| topic_facet | Mathematics Logic, Symbolic and mathematical Mathematical optimization Physics Engineering Operations research Mathematical Logic and Foundations Optimization Complexity Operation Research/Decision Theory Ingenieurwissenschaften Mathematik |
| url | https://doi.org/10.1007/978-1-4615-0009-4 |
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