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Title: Fuzzy Regression Clustering and Generalized Measures of Fuzzy Information
Researcher: Kumar, Rakesh
Guide(s): Hooda, D.S. ; Singh, Harinder
Keywords: Fuzzy Regression
Upload Date: 11-Sep-2013
University: Jaypee University of Information Technology, Solan
Completed Date: 06/02/2009
Abstract: The objective of the thesis entitled, Fuzzy Regression, Clustering and Generalized Measures of Fuzzy Informationquot, is to study fuzzy regression, fuzzy clustering with application, to characterize new measures of fuzzy information and to study their various generalizations. Fuzzy set theory has capability to describe the uncertain situations which contain ambiguity and vagueness. Fuzziness is sometimes found in some decisions, in our thoughts and in the way of processing the information. newlineAs probabilistic entropyquot measures uncertain degree of the randomness in a probability distribution, Fuzzy entropy measures fuzziness of a set which arises from the intrinsic ambiguity or vagueness carried by the fuzzy set. The entropy of a fuzzy event is different from the classical Shannon entropy, as no probabilistic concept is needed in order to define it. We should note that fuzzy entropy deals with vague and ambiguous uncertainties, while Shannon entropy deals with probabilistic uncertainties. There are number of measures of fuzzy entropy corresponding to the various probabilistic entropy measures have been proposed and studied in literature. newline newline
Appears in Departments:Department of Mathematics

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01_title.pdfAttached File76.45 kBAdobe PDFView/Open
02_certificate.pdf90.58 kBAdobe PDFView/Open
03_acknowledgement.pdf170.25 kBAdobe PDFView/Open
04_contents.pdf277.98 kBAdobe PDFView/Open
05_list of figures.pdf144.13 kBAdobe PDFView/Open
06_chapter 1.pdf2.41 MBAdobe PDFView/Open
07_chapter 2.pdf1.11 MBAdobe PDFView/Open
08_chapter 3.pdf1.3 MBAdobe PDFView/Open
09_chapter 4.pdf1.67 MBAdobe PDFView/Open
10_chapter 5.pdf1.19 MBAdobe PDFView/Open
11_chapter 6.pdf1.18 MBAdobe PDFView/Open
12_chapter 7.pdf1.29 MBAdobe PDFView/Open
13_bibliography.pdf838.24 kBAdobe PDFView/Open

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