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Monte Carlo Methods in Fuzzy Optimization : Studies in Fuzziness and Soft Computing - James J. Buckley

Monte Carlo Methods in Fuzzy Optimization

Studies in Fuzziness and Soft Computing

Hardcover Published: 20th February 2008
ISBN: 9783540762898
Number Of Pages: 260

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Monte Carlo Methods in Fuzzy Optimization is a clear and didactic book about Monte Carlo methods using random fuzzy numbers to obtain approximate solutions to fuzzy optimization problems. The book includes various solved problems such as fuzzy linear programming, fuzzy regression, fuzzy inventory control, fuzzy game theory, and fuzzy queuing theory. The book will appeal to engineers, researchers, and students in Fuzziness and applied mathematics.

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From the reviews:

"This timely research monograph is a very much needed compendium of recent developments in the methodologies and applications of Monte Carlo fuzzy optimization and fuzzy modeling. ... Overall the writing is lucid and well supported by convincing and highly motivating comments. ... All in all, this is a highly welcome publication which will undoubtedly appeal to the fuzzy set research community." (Witold Pedrycz, Zentralblatt MATH, Vol. 1148, 2008)

Introductionp. 3
Fuzzy Setsp. 9
Crisp Random Numbers and Vectorsp. 29
Random Fuzzy Numbers and Vectorsp. 35
Tests for Randomnessp. 43
Fuzzy Monte Carlo Methodp. 57
Fully Fuzzified Linear Programming Ip. 67
Fully Fuzzified Linear Programming IIp. 75
Fuzzy Multiobjective LPp. 81
Solving Fuzzy Equationsp. 89
Fuzzy Linear Regression Ip. 117
Univariate Fuzzy Nonlinear Regressionp. 127
Multivariate Nonlinear Regressionp. 139
Fuzzy Linear Regression IIp. 155
Fuzzy Two-Person Zero-Sum Gamesp. 165
Fuzzy Queuing Modelsp. 175
Unfinished Business
Fuzzy Min-Cost Capacitated Networkp. 187
Fuzzy Shortest Path Problemp. 191
Fuzzy Max-Flow Problemp. 195
Inventory Control: Known Demandp. 199
Inventory Control: Fuzzy Demandp. 205
Inventory Control: Backorderingp. 213
Fuzzy Transportation Problemp. 217
Fuzzy Integer Programmingp. 223
Fuzzy Dynamic Programmingp. 227
Fuzzy Project Scheduling/PERTp. 231
Max/Min Fuzzy Functionp. 237
Summary, Conclusions, Future Research
Summary, Conclusions, Future Researchp. 243
Indexp. 247
List of Figuresp. 253
List of Tablesp. 257
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540762898
ISBN-10: 3540762892
Series: Studies in Fuzziness and Soft Computing
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 260
Published: 20th February 2008
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.75
Weight (kg): 0.56