Optimal Models and Methods with Fuzzy Quantities

ISBN-13: 9783642262487 / Angielski / Miękka / 2012 / 350 str.

Bing-Yuan Cao

Opis

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."

Recenzje

From the reviews:

"Fuzzy modeling and fuzzy optimization come with a significant diversity expressed in terms of the underlying concepts, methodologies, and algorithms. The book consists of 10 chapters and naturally splits into six parts. ... Overall, the book is an interesting and useful reading exploring the wealth and capabilities of fuzzy sets in the framework of system modeling and system optimization." (Witold Pedrycz, Zentralblatt MATH, Vol. 1196, 2010)

Spis treści

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.- Interval and Fuzzy Functional and their Variation.

Blurb

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.