Optimal Models and Methods with Fuzzy Quantities

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Springer Science & Business Media, Feb 1, 2010 - Computers - 350 pages
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I originated a submission titled “Fuzzy Geometric Programming” for the Proceeding of the Second International Fuzzy Systems Association (IFSA) Congress (Tokyo) in 1987, and later published through rigorous selection in Fuzzy Sets and Systems. In 1989, I brought up“Study on non-distinct se- regression forecast model” for discussion by using Zadeh's theory on fuzzy sets. From then on, I have done researches on an optimal model with fuzzy informationquantities. In the book,Iregardthe modelwith fuzzy quantities, including fuzzy coe?cients and fuzzy variables, as a main line, introducing the molding of various problems and their practical examples, completely and clearly, in some ?elds. Many of my papers are indexed in SCI (Science Citation Index), EI (Engineering Index) and ISTP (Index to Scienti?c & Technical Proceedings), commented or extracted in American Mathematical Reviews and Zentralblatt Math. The researching and writing have been funded by the National Na- ral Science Foundation of China for three times (1997, 2003, 2008). At the same time, it is supported by the Science and Technology Project of - nan Province, the Science Research Foundation of Changsha Electric Power University,“211 Project”Foundation of Shantou University and Li Ka-Shing Science Development Foundation of Shantou University, and Scienti?c - search Foundation of Guangzhou University. The research project won the ThirdAwardofGuangdongScienceandTechnologyAwardedbytheGove- ment of Guangdong Province (2005) and Third Award of Excellent Papers in Natural Science by it (2003), successively. The book contains ten chapters as follows: Chapter 1. Prepare Knowledge; Chapter2. RegressionandSelf-regressionModelswith FuzzyCoe?cients; Chapter 3.
 

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Contents

Prepare Knowledge
1
Regression and Selfregression Models with Fuzzy Coefficients
33
Regression and Selfregression Models with Fuzzy Variables
63
Fuzzy InputOutput Model
95
Fuzzy Cluster Analysis and Fuzzy Recognition
117
Fuzzy Linear Programming
138
Fuzzy Geometric Programming
193
Fuzzy Relative Equation and Its Optimizing
254
Interval and Fuzzy Differential Equations
293
Interval and Fuzzy Functional and their Variation
327
References
363
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