Dr.R Sreekumar
Associate professor
Head of the department
About Me
Dr. R Sreekumar is a researcher in the area Fuzzy topology of Mathematics. He published two papers internationally and seven papers nationally. Also his book Some Generalized Fuzzy Metric Spaces , is published by Lambert Academic Publishers-Germany in 2010. Dr. R Sreekumar is a resource person for national and regional seminars conducted by different institutions and a resource persons for the workshop of designing syllabus of B. Sc. under the Choice Based Credit and Semester System of Kerala University in 2009 - 2010 .He successfully completed a minor research project under U.G.C in 2008.For the last four years, he is the Chapter Secretary of Kerala Mathematical Association, which organizes seminars and workshops throughout Kerala. Dr. R. Sreekumar is also a question paper setter of different universities , autonomous institutions and Kerala State Board of Higher Secondary Examination . He is an authorized Guide for M. Phil. of Manonmanian Sundarnar University and MSc. Project guide for Institute of Distance Education of Kerala University .He did his M.phil from Madras Christian College, Chennai, B Ed degree from kerala university and was awarded doctoral degree from Cochin University of Science and Technology, Kerala, India. Presently he is a member of Board of studies of Mathematics (post graduate)of Kerala University.
Educational Qualification
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M.Sc Mathematics (with first class and distinction) from University of Kerala , College-Department of Mathematics, Kariavattom campus, University of Kerala .
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M.phil in Mathematics from Madras University, Madras Christian College, Chennai .
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B.Ed from University of Kerala.
Research Publications
International
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ON FUZZY SUBMETRIZABILITY - The Journal of Fuzzy Mathematics Vol 10 No 2 , New York - 2002.
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ON STRICT FUZZY p-SPACE - The Journal of Fuzzy Mathematics Vol 18No 3, New York - 2010.
National
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ON FUZZY W∆-SPACES AND FUZZY MOORE SPACES- Thripura Mathematical Society Vol.(4), 2002
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FUZZY SIGMA SPACE - Bulletin of Kerala Mathematical Association, Vol.5 No1 - 2009
Books from Dr. R Sreekumar
About the book
The theory of generalized metric spaces is closely related to what is known as 'metrization theory'. They can be used to characterize the images or pre images of metric spaces under certain kinds of mappings. They have appeared as a 'factor' in many metrization theorems. The fuzzy analogues of these spaces are more significant. The class of generalized fuzzy metric spaces like fuzzy M-spaces, fuzzy w -Spaces and fuzzy Moore space are introduced in this book. We prove how these spaces are related to fuzzy metrizable spaces and some vital properties of these spaces are proved. The concept of a fuzzy network is one of the useful tools in the theory of generalized fuzzy metric spaces. The fuzzy - spaces is a class of generalized metric space having an - discrete fuzzy network. The class of p- spaces generalizes both metrizable spaces and compact spaces. Hence concept of fuzzy p- spaces is more important. The nice relationships between various generalized fuzzy metric spaces like, fuzzy Moore spaces, fuzzy -spaces, fuzzy w -spaces, fuzzy p- spaces and how they are connected to fuzzy metric spaces are investigated."