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FUZZY SET AND FUZZY REAL NUMBERS TO DEFINE THE CLASSES OF FUZZY SEQUENCE SPACES l_M ( X ,λ ̅,(p ) ̅ ) AND l_M ( X,λ ̅,p ̅,L) BY USING THE ORLICZ FUNCTION

Dr. Jogender

Page No. : 107-122

ABSTRACT

In this paper, we use the fuzzy set and fuzzy real numbers to define the classes of fuzzy sequence spaces l_M ( X ,λ ̅,(p ) ̅ ) and l_M ( X,λ ̅,p ̅,L) by using the Orlicz function. Also, we explore some linear topological structures of the spaces. Further, we introduce a paranorm to study some properties of the spaces. Finally, we define a class l ̅_M ( X ,λ ̅,(p ) ̅,L), and using the concept of ∆_2- condition, to show the relation between l_M ( X ,λ ̅,(p ) ̅,L) and l ̅_M ( X ,λ ̅,(p ) ̅,L).

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