
Ebook: Fuzzy Mathematics in Economics and Engineering
- Tags: Game Theory/Mathematical Methods, Operation Research/Decision Theory, Artificial Intelligence (incl. Robotics), Appl.Mathematics/Computational Methods of Engineering, Applications of Mathematics
- Series: Studies in Fuzziness and Soft Computing 91
- Year: 2002
- Publisher: Physica-Verlag Heidelberg
- Edition: 1
- Language: English
- pdf
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.
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.
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.
Content:
Front Matter....Pages i-xi
Introduction....Pages 1-3
Fuzzy Sets....Pages 5-17
Solving Fuzzy Equations....Pages 19-46
Fuzzy Mathematics in Finance....Pages 47-67
Fuzzy Non—Linear Regression....Pages 69-79
Operations Research....Pages 81-144
Fuzzy Differential Equations....Pages 145-163
Fuzzy Difference Equations....Pages 165-184
Fuzzy Partial Differential Equations....Pages 185-197
Fuzzy Eigenvalues....Pages 199-228
Fuzzy Integral Equations....Pages 229-241
Summary and Conclusions....Pages 243-252
Evolutionary Algorithms....Pages 253-257
Back Matter....Pages 259-272
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.
Content:
Front Matter....Pages i-xi
Introduction....Pages 1-3
Fuzzy Sets....Pages 5-17
Solving Fuzzy Equations....Pages 19-46
Fuzzy Mathematics in Finance....Pages 47-67
Fuzzy Non—Linear Regression....Pages 69-79
Operations Research....Pages 81-144
Fuzzy Differential Equations....Pages 145-163
Fuzzy Difference Equations....Pages 165-184
Fuzzy Partial Differential Equations....Pages 185-197
Fuzzy Eigenvalues....Pages 199-228
Fuzzy Integral Equations....Pages 229-241
Summary and Conclusions....Pages 243-252
Evolutionary Algorithms....Pages 253-257
Back Matter....Pages 259-272
....