Optimal Models and Methods with Fuzzy Quantities

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The book contains ten chapters as follows, Prepare Knowledge, Regression and Self-regression Models with Fuzzy Coefficients; Regression and Self-regression Models with Fuzzy Variables, Fuzzy Input/output Model, Fuzzy Cluster Analysis and Fuzzy Recognition, Fuzzy Linear Programming, Fuzzy Geometric Programming, Fuzzy Relative Equation and Its Optimizing, Interval and Fuzzy Differential Equations and Interval and Fuzzy Functional and Their Variation.

It can not only be used as teaching materials or reference books for under-graduates in higher education, master graduates and doctor graduates in the courses of applied mathematics, computer science, artificial intelligence, fuzzy information process and automation, operations research, system science and engineering, and the like, but also serves as a reference book for researchers in these fields, particularly, for researchers in soft science.

Author(s): Bing-Yuan Cao (auth.)
Series: Studies in Fuzziness and Soft Computing
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2010

Language: English
Pages: 350
Tags: Appl.Mathematics/Computational Methods of Engineering; Artificial Intelligence (incl. Robotics)

Front Matter....Pages -
Prepare Knowledge....Pages 1-32
Regression and Self-regression Models with Fuzzy Coefficients....Pages 33-62
Regression and Self-regression Models with Fuzzy Variables....Pages 63-94
Fuzzy Input-Output Model....Pages 95-115
Fuzzy Cluster Analysis and Fuzzy Recognition....Pages 117-137
Fuzzy Linear Programming....Pages 139-191
Fuzzy Geometric Programming....Pages 193-253
Fuzzy Relative Equation and Its Optimizing....Pages 255-292
Interval and Fuzzy Differential Equations....Pages 293-326
Interval and Fuzzy Functional and their Variation....Pages 327-361
Back Matter....Pages -