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J. Korean Math. Soc. 2002; 39(1): 137-148

Printed January 1, 2002

Copyright © The Korean Mathematical Society.

Hausdorff interval valued fuzzy filters

P. V. Ramakrishnan and V. Lakshmana Gomathi Nayagam

Madurai Kamaraj University

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The notion of Interval Valued Fuzzy Sets (IVF sets) was introduced by T. K. Mondal. In this paper a notion of IVF filter is introduced and studied. A new notion of Hausdorffness, which can not be defined in crisp theory of filters, is defined on IVF filters and their properties are studied.

Keywords: IVF sets, IVF filter, Hausdorff IVF filter, convergence IVF filterly, IVF filter continuous, IVF filter open, quotient IVF filter, product IVF filter

MSC numbers: 54A40

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