Pradip DEBNATH

10295

A NEW TYPE OF CONVERGENCE IN INTUITIONISTIC FUZZY NORMED LINEAR SPACES

A NEW TYPE OF CONVERGENCE IN INTUITIONISTIC FUZZY NORMED LINEAR SPACES

In the present paper, we introduce a new type of convergence, called standard convergence (or std-convergence), in an intuitionistic fuzzy normed linear space (IFNLS). We have also introduced the concept of std-Cauchyness and proved that these notions are stronger than usual convergence and usual Cauchyness in an IFNLS. Further, we have shown that these two notions are not directly compatible with each other and hence, defined the notion of strong std-convergence which is compatible with std-Cauchy sequences

Keywords:

Intuitionistic fuzzy normed linear space, std-convergence, strong std-convergence std-Cauchy sequence,

Journal of New Theory-Cover

Yayın Aralığı: 4
Başlangıç: 2014
Yayıncı: Naim Çağman

Arşiv

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Anil Dhondiram CHİNDHE, Sakharam KİWNE

A NEW TYPE OF CONVERGENCE IN INTUITIONISTIC FUZZY NORMED LINEAR SPACES

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