Possibilistic Data Analysis for Operations Research

Front Cover
Physica-Verlag, 1999 - Mathematics - 182 pages
This unique monograph provides new theories and techniques of possibility theory for data analysis in operations research. As the basic of this book, an exponential possibility distribution and its properties are introduced. Based on exponential possibility distribution, the identification methods are given to obtain the upper and lower possibility distributions to reflect the expert's knowledge. As the applications of exponential possibility distributions, possibility regression, possibility discriminant and possibility portfolio selection problems and other related theories as rough set and DEA are presented. Possibility data analysis offers not only the general methodology to analyze and model the uncertainty in operations research but also the common and simple way to solve the problems. It is an integration of model building and model solving.

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Contents

Possibility Theory in Operations Research
1
Possibility Models
15
Theory of Possibilistic Systems Based on Exponential
51
Identification of Possibility Distributions
69
Possibilistic Regression Analysis
87
Possibilistic Portfolio Selection Problems
125
Discriminant Analysis Based on Possibility Distributions
149
Rough Set Analysis
165
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