Bulletin of Pure and Applied Sciences Section.
  • Year: 2019
  • Volume: 38E
  • Issue: 1

Completeness of Hausdorff Induced 2-Fuzzy Metric Space

1Associate Professor, P.G. & Research Department of Mathematics, T.B.M.L. College, Porayar, Tamil Nadu609 307, India

2Research Scholar, P.G. & Research Department of Mathematics, T.B.M.L. College, Porayar, Tamil Nadu609 307, India

*Thangaraj Beaula, P.G. & Research Department of Mathematics, T.B.M.L. College, Porayar, Tamil Nadu 609 307, India. E-Mail: edwinbeaula@yahoo.co.in, christymirac@rediffmail.com

Abstract

In this paper the concept of completeness induced by the Hausdorff metric is studied and the 2-fuzzy compactness induced by the Hausdorff metric is also discussed.

Keywords

2-fuzzy Hausdorff metric, 2-fuzzy compact, 54A40, 54E35, 54E45