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Mathematics

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Theses/Dissertations

2006

Decision making

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Essays On Individual And Collective Powers In A Voting Body., Sonali Roy Dr. Aug 2006

Essays On Individual And Collective Powers In A Voting Body., Sonali Roy Dr.

Doctoral Theses

MotivationThe issue of measurement of voting power is a very important topic of discussion in social science these days. The concept of voting power concerns any collective decision making body (or, equivalently, a collectivity) which makes ‘yes’ or ‘no’ decisions on any issue, by the process of voting. Examples of such bodies abound in today’s world. The United Nations Security Council, The Council of Ministers in the European Union, the Parliament of the republic of India, the board room of any corporate house etc., are all examples of such decision making bodies.The voting process of each of these bodies is …


Some New Methodologies For Pattern Recognition Aided By Self-Organizing Maps., Arijit Laha Dr. Feb 2006

Some New Methodologies For Pattern Recognition Aided By Self-Organizing Maps., Arijit Laha Dr.

Doctoral Theses

In this thesis we develop several techniques for performing different pattern recognition tasks. In particular, the pattern recognition tasks considered here are classification and vector quantization. We propose several methods for designing classifiers and address various issues involved in the task. For vector quantization, we develop a method for image compression with superior psychovisual reproduction quality. We also propose a method for fast codebook search in a vector quantizer. We exploit different properties of Self-organizing Map (SOM) network for developing these methods. Along with SOM, we also use fuzzy sets theory and Dempster-Shafer theory of evidence to design classi- fiers …