SOME NEW CLASSES OF FUZZY REAL-VALUED IDEAL CONVERGENT MULTIPLE SEQUENCE SPACES
MUNMUN NATH
Department of Mathematics, S. S. College, Hailakandi, 788151, Assam, India.
SANTANU ROY *
Department of Mathematics, National Institute of Technology, Silchar-788010, Assam, India.
*Author to whom correspondence should be addressed.
Abstract
In this article we introduce the classes of I-convergent sequence spaces of fuzzy real numbers of multiplicity greater than two. We have studied their different algebraic and topological properties like solid, symmetric, monotone, sequence algebra, convergence free etc. We have proved that the classes of I-convergent triple sequence spaces of fuzzy real numbers are complete metric spaces. We have proved some inclusion results too.
Keywords: Fuzzy real-valued triple sequence, I-convergence, solid space, monotone space;, symmetric space;, sequence algebra, convergence free, completeness etc