Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (1): 134-140.doi: 10.1016/S0252-9602(11)60215-4

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SOME DOUBLE SEQUENCE SPACES OF FUZZY NUMBERS DEFINED BY ORLICZ FUNCTIONS

Binod Chandra Tripathy, Bipul Sarma   

  1. Mathematical Sciences Division, Institute of Advanced Study in Science and Technology Paschim Boragaon, GARCHUK, GUWAHATI-781 035, India|Mathematical Sciences Division, Institute of Advanced Study in Science and Technology Paschim Boragaon, GARCHUK, GUWAHATI-781 035, India
  • Received:2007-03-27 Revised:2008-11-11 Online:2011-01-20 Published:2011-01-20

Abstract:

In this article,  we introduce some double sequence spaces of fuzzy real numbers defined by Orlicz function, study some of their properties like solidness, symmetricity, completeness etc,  and prove some inclusion results.

Key words: Orlicz function, completeness, seminorm, regular convergence, solid space, symmetric space

CLC Number: 

  • 40A05
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