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JMB Journal of Microbiolog and Biotechnology

OPEN ACCESS eISSN 0454-8124
pISSN 1225-6951
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Original Article

Kyungpook Mathematical Journal 2010; 50(4): 565-574

Published online December 23, 2010

Copyright © Kyungpook Mathematical Journal.

Lacunary Statically Convergent and Lacunary Strongly Convergent
Generalized Difference Sequences of Fuzzy Real Numbers

Binod Chandra Tripathy, Achyutanada Baruah

Mathematical Sciences Division; Institute of Advanced Study in Science and Tech- nology, Paschim Boragaon, Garchuck, Guwahati-781035, India,
Department of Mathematics, North Gauhati College, College Nagar, Guwahati- 781031, India

Received: December 23, 2010; Revised: December 23, 2010; Accepted: December 23, 2010

Abstract

In this paper we introduce the concept of lacunary statistical and lacunary
strongly convergence of generalized difference sequence of fuzzy real numbers. We prove
some inclusion relations and also study some of their properties.

Keywords: Lacunary sequence, statical convergence, generalised difference,
statically Cauchy sequences, solidness, symmetricity, convergence free