Abstract
In this paper we introduce the λ -quasi Cauchy sequence of fuzzy numbers. We obtain the relation between strongly λ-quasi Cauchy convergence and statistically λ -quasi Cauchy convergence for fuzzy numbers.
Highlights
Fuzzy set was first suggested by Zadeh [24]
Bounded and convergent sequences of fuzzy numbers were studied by Matloka [17], where it is shown that every convergent sequence is bounded
The notion was further investigated and different properties in the field of summability theory has been investigated by Tripathy [18], Tripathy and Sen [19], Tripathy and Esi [20], Tripathy and Das [23], and many others
Summary
Fuzzy set was first suggested by Zadeh [24]. Bounded and convergent sequences of fuzzy numbers were studied by Matloka [17], where it is shown that every convergent sequence is bounded. Mursaleen [16] defined and studied λ-statistically convergent sequences ( see [1, 14]). Denote the classes of all, convergent, null, bounded sequences of fuzzy real numbers, respectively.
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