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Rough sets of various kinds

Rough sets of various kinds

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Rough sets of various kinds
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<strong>School of Computer &amp; Systems Sciences JAWAHARLAL NEHRU UNIVERSITY</strong> <strong>"Rough sets of various kinds"</strong> <strong>Speaker: DR. MIHIR KUMAR CHAKRABORTY</strong> Retired Professor, Department of Pure mathematics, University of Calcutta. Date:<strong> 27-04-2016</strong> <strong>Abstract:</strong> Introduced by the Polish computer scientist Zdzislaw I. Pawlak, a Rough Set is a formal approximation of a crisp set (i.e., conventional set) in terms of a pair of sets which give the lower and the upper approximation of the original set. Rough sets have found significant research attention since the wide application of data analysis in numerous fields. Rough set philosophy is founded on the assumption that with every object of the universe of discourse some information (data, knowledge) is associated. Objects characterized by the same information are indiscernible (similar) in view of the available information about them. The indiscernibility relation generated in this way is the mathematical basis of rough set theory. Any set of all indiscernible (similar) objects forms a basic granule (atom) of knowledge about the universe. Any union of some elementary sets is referred to as a crisp (precise) set – otherwise the set is rough (imprecise, vague). The presentation will include various ways of defining Rough Sets and their significances. <strong>About the speaker</strong> Areas of research interest: Non-standard Logics, Fuzzy set theory, Rough Set Theory, Foundations of Mathematics , Mathematics and Culture , Logic of Diagrams, Functional Analysis, Topology, Knowledge Representation. Research Publications (in refereed journal): 120 (approximately) Research papers in conference presentations: 80 (approximately) Books: 4 (one by Springer, and three in Bengali), 6 (Edited Volumes)

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Initially, established as a Centre for Chinese and Japanese Studies, it subsequently grew to include Korean Studies as well. At present there are eight faculty members in the Centre. Several distinguished faculty who have now retired include the late Prof. Gargi Dutt, Prof. P.A.N. Murthy, Prof. G.P. Deshpande, Dr. Nranarayan Das, Prof. R.R. Krishnan and Prof. K.V. Kesavan. Besides, Dr. Madhu Bhalla served at the Centre in Chinese Studies Programme during 1994-2006. In addition, Ms. Kamlesh Jain and Dr. M. M. Kunju served the Centre as the Documentation Officers in Chinese and Japanese Studies respectively.

The academic curriculum covers both modern and contemporary facets of East Asia as each scholar specializes in an area of his/her interest in the region. The integrated course involves two semesters of classes at the M. Phil programme and a dissertation for the M. Phil and a thesis for Ph. D programme respectively. The central objective is to impart an interdisciplinary knowledge and understanding of history, foreign policy, government and politics, society and culture and political economy of the respective areas. Students can explore new and emerging themes such as East Asian regionalism, the evolving East Asian Community, the rise of China, resurgence of Japan and the prospects for reunification of the Korean peninsula. Additionally, the Centre lays great emphasis on the building of language skills. The background of scholars includes mostly from the social science disciplines; History, Political Science, Economics, Sociology, International Relations and language.

Several students of the centre have been recipients of prestigious research fellowships awarded by Japan Foundation, Mombusho (Ministry of Education, Government of Japan), Saburo Okita Memorial Fellowship, Nippon Foundation, Korea Foundation, Nehru Memorial Fellowship, and Fellowship from the Chinese and Taiwanese Governments. Besides, students from Japan receive fellowship from the Indian Council of Cultural Relations.