Fuzzy Mathematics in Economics and Engineering

The book aims at surveying results in the application of fuzzy sets and fuzzy logic to economics and engineering. New results include fuzzy non-linear regression, fully fuzzified linear programming, fuzzy multi-period control, fuzzy network analysis, each using an evolutionary algorithm; fuzzy queuing decision analysis using possibility theory; fuzzy differential equations; fuzzy difference equations; fuzzy partial differential equations; fuzzy eigenvalues based on an evolutionary algorithm; fuzzy hierarchical analysis using an evolutionary algorithm; fuzzy integral equations. Other important topics covered are fuzzy input-output analysis; fuzzy mathematics of finance; fuzzy PERT (project evaluation and review technique). No previous knowledge of fuzzy sets is needed. The mathematical background is assumed to be elementary calculus.

List of contents

Fuzzy Sets.- Solving Fuzzy Equations.- Fuzzy Mathematics in Finance.- Fuzzy Non-Linear Regression.- Operations Research.- Fuzzy Differential Equations.- Fuzzy Difference Equations.- Fuzzy Partial Differential Equations.- Fuzzy Eigenvalues.- Fuzzy Integral Equations.- Summary and Conclusions.- Evolutionary Algorithms.

Summary

The book aims at surveying results in the application of fuzzy sets and fuzzy logic to economics and engineering. New results include fuzzy non-linear regression, fully fuzzified linear programming, fuzzy multi-period control, fuzzy network analysis, each using an evolutionary algorithm; fuzzy queuing decision analysis using possibility theory; fuzzy differential equations; fuzzy difference equations; fuzzy partial differential equations; fuzzy eigenvalues based on an evolutionary algorithm; fuzzy hierarchical analysis using an evolutionary algorithm; fuzzy integral equations. Other important topics covered are fuzzy input-output analysis; fuzzy mathematics of finance; fuzzy PERT (project evaluation and review technique). No previous knowledge of fuzzy sets is needed. The mathematical background is assumed to be elementary calculus.

Product details

• Authors: James Buckley, James J Buckley, James J. Buckley, Esfandia Eslami, Esfandiar Eslami, Thomas Feuring
• Publisher: Physica-Verlag
• Languages: English
• Product format: Paperback / Softback
• Released: 26.10.2010
• EAN: 9783790825053
• ISBN: 978-3-7908-2505-3
• No. of pages: 272
• Weight: 441 g
• Illustrations: XI, 272 p.
• Series: Studies in Fuzziness and Soft Computing; Studies in Fuzziness and Soft Computing
• Subjects: Social sciences, law, business > Business > Economics; Operations Research, C, Artificial Intelligence, engineering, Economic Theory, Operations Research/Decision Theory, Operations Research and Decision Theory, Applications of Mathematics, Mathematical and Computational Engineering, Discrete Mathematics, Management decision making, Management science, Engineering mathematics, Applied mathematics, Operational research, Decision Making, Quantitative Economics, Mathematical and Computational Engineering Applications, Maths for engineers, Economic Theory/Quantitative Economics/Mathematical Methods