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Fuzzy Mathematics in Economics and Engineering 2002 ed. [Kõva köide]

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  • Formaat: Hardback, 272 pages, kõrgus x laius: 235x155 mm, kaal: 1300 g, XI, 272 p., 1 Hardback
  • Sari: Studies in Fuzziness and Soft Computing 91
  • Ilmumisaeg: 26-Feb-2002
  • Kirjastus: Physica-Verlag GmbH & Co
  • ISBN-10: 3790814563
  • ISBN-13: 9783790814569
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Fuzzy Mathematics in Economics and Engineering 2002 ed.Suurem pilt
  • Formaat: Hardback, 272 pages, kõrgus x laius: 235x155 mm, kaal: 1300 g, XI, 272 p., 1 Hardback
  • Sari: Studies in Fuzziness and Soft Computing 91
  • Ilmumisaeg: 26-Feb-2002
  • Kirjastus: Physica-Verlag GmbH & Co
  • ISBN-10: 3790814563
  • ISBN-13: 9783790814569
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9783790814569.html
Märksõnad:
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.
Introduction
1(4)
Bibliography
3(2)
Fuzzy Sets
5(14)
Fuzzy Sets
5(4)
Fuzzy Numbers
5(2)
Alpha-Cuts
7(2)
Inequalities
9(1)
Discrete Fuzzy Sets
9(1)
Fuzzy Arithmetic
9(3)
Extension Principle
9(1)
Interval Arithmetic
10(1)
Fuzzy Arithmetic
11(1)
Fuzzy Functions
12(3)
Extension Principle
13(1)
Alpha-Cuts and Interval Arithmetic
13(1)
Differences
14(1)
Possibility Theory
15(4)
Bibliography
17(2)
Solving Fuzzy Equations
19(28)
A X + B = C
19(3)
New Solutions
22(2)
Systems of Fuzzy Linear Equations
24(9)
Applications
33(6)
Fuzzy Linear Equation
33(1)
Fuzzy Quadratic Equations
34(1)
System of Linear Equations
35(4)
Fuzzy Input-Output Analysis
39(4)
The Open Model
39(2)
Fuzzy Model
41(2)
Summary and Conclusions
43(4)
Bibliography
45(2)
Fuzzy Mathematics in Finance
47(22)
Future Value
48(2)
Present Value
50(3)
Annuities
53(2)
Future Value
53(1)
Present Value
54(1)
Portfolio Analysis
55(7)
NPV Method
55(4)
IRR Method
59(3)
Summary and Conclusions
62(7)
Bibliography
65(4)
Fuzzy Non-Linear Regression
69(12)
Univariate Non-Linear Fuzzy Regression
70(4)
Testing the EA
71(1)
Application
72(2)
Multivariate Non-Linear Fuzzy Regression
74(2)
Testing
75(1)
Application
75(1)
Conclusions and Results
76(5)
Bibliography
77(4)
Operations Research
81(64)
Fuzzy Linear Programming
81(17)
Maximize Z
82(3)
Fuzzy Inequality
85(3)
Evolutionary Algorithm
88(1)
Applications
89(8)
Summary and Conclusions
97(1)
Fuzzy PERT
98(7)
Job Times Fuzzy Numbers
102(2)
Job Times Discrete Fuzzy Sets
104(1)
Summary
104(1)
Fuzzy Inventory Control
105(13)
Demand Not Fuzzy
109(2)
Fuzzy Demand
111(6)
Backorders
117(1)
Evolutionary Algorithm
118(1)
Fuzzy Queuing Theory
118(11)
Service
120(1)
Arrivals
121(1)
Finite or Infinite System Capacity
122(2)
Machine Servicing Problem
124(2)
Fuzzy Queuing Decision Problem
126(3)
Summary and Conclusions
129(1)
Fuzzy Network Analysis
129(8)
Fuzzy Shortest Route
130(2)
Fuzzy Min-Cost Capacitated Network
132(4)
Evolutionary Algorithm
136(1)
Summary and Conclusions
137(1)
Summary and Conclusions
137(8)
Bibliography
139(6)
Fuzzy Differential Equations
145(20)
Fuzzy Initial Conditions
146(12)
Electrical Circuit
150(3)
Vibrating Mass
153(2)
Dynamic Supply and Demand
155(3)
Other Fuzzy Parameters
158(3)
Summary and Conclusions
161(4)
Bibliography
163(2)
Fuzzy Difference Equations
165(20)
Difference Equations
166(1)
Fuzzy Initial Conditions
167(8)
Classical Solutions
167(2)
Extension Principle Solution
169(3)
Interval Arithmetic Solution
172(2)
Summary
174(1)
Recursive Solutions
175(1)
Applications
176(4)
National Income
176(2)
Transmission of Information
178(1)
Fuzzy Fibonacci Numbers
179(1)
Summary and Conclusions
180(5)
Bibliography
183(2)
Fuzzy Partial Differential Equations
185(14)
Elementary Partial Differential Equations
185(2)
Classical Solution
187(3)
Extension Principle Solution
190(4)
Summary and Conclusions
194(5)
Bibliography
197(2)
Fuzzy Eigenvalues
199(30)
Fuzzy Eigenvalue Problem
199(7)
Algorithm
203(3)
Fuzzy Input-Output Analysis
206(3)
Fuzzy Hierarchical Analysis
209(15)
The λmax-Method
210(2)
Fuzzy λmax-Method
212(10)
Fuzzy Geometric Row Mean Method
222(2)
Summary and Conclusions
224(5)
Bibliography
227(2)
Fuzzy Integral Equations
229(14)
Resolvent Kernel Method
230(7)
Classical Solution
231(4)
Second Solution Method
235(2)
Symmetric Kernel Method
237(3)
Classical Solution
237(2)
Second Solution Method
239(1)
Summary and Conclusions
240(3)
Bibliography
241(2)
Summary and Conclusions
243(10)
Summary
243(7)
Chapter 3: Solving Fuzzy Equations
243(1)
Chapter 4: The Fuzzy Mathematics in Finance
244(1)
Chapter 5: Fuzzy Non-Linear Regression
244(1)
Chapter 6: Operations Research
245(2)
Chapter 7: Fuzzy Differential Equations
247(1)
Chapter 8: The Fuzzy Difference Equations
248(1)
Chapter 9: Fuzzy Partial Differential Equations
248(1)
Chapter 10: Fuzzy Eigenvalues
249(1)
Chapter 11: Fuzzy Integral Equations
249(1)
Research Agenda
250(2)
Chapter 3: Solving Fuzzy Equations
250(1)
Chapter 4: The Fuzzy Mathematics of Finance
250(1)
Chapter 5: Fuzzy Non-Linear Regression
250(1)
Chapter 6: Operations Research
250(1)
Chapter 7: Fuzzy Differential Equations
251(1)
Chapter 8: Fuzzy Difference Equations
252(1)
Chapter 9: Fuzzy Partial Differential Equations
252(1)
Chapter 10: Fuzzy Eigenvalues
252(1)
Chapter 11: Fuzzy Integral Equations
252(1)
Conclusions
252(1)
Evolutionary Algorithms
253(6)
Introduction
253(1)
General Purpose Algorithm
253(6)
Bibliography
257(2)
Index 259(8)
List of Figures 267(4)
List of Tables 271