Abstract
In this article we study some properties of generalized Nörlund and Nörlund-typemeans of sequences of fuzzy real numbers. We establish necessary and sufficient conditions for our purposed methods to transform convergent sequences of fuzzy real numbers into convergent sequences of fuzzy real numbers which also preserve the limit. Finally, we establish some results showing the connection between the generalized N ̈orlund and N ̈orlund-type limits and the usual limits under slow oscillation of sequences of fuzzy real numbers.
Highlights
Let D be the set of all closed and bounded intervals on the real line R
Let R(I) denotes the set of all convex, upper semi continuous and normal fuzzy numbers, and let Xα (0 < α ≤ 1) be the α level set of X, which is defined by Xα = {r ∈ R : X(r) ≥ α}
In this article we study the characterization of generalized Norlund and Norlund-type (Riesz) means of sequences of fuzzy real numbers
Summary
Let D be the set of all closed and bounded intervals on the real line R. Let R(I) denotes the set of all convex, upper semi continuous and normal fuzzy numbers, and let Xα (0 < α ≤ 1) be the α level set of X, which is defined by Xα = {r ∈ R : X(r) ≥ α}. The preliminary idea of fuzzy set theory was introduced and studied by Zadeh [18] in the year 1965. This theory has entered into many diversified areas of science and technology. Mathematicians and researchers working on sequence spaces preferred to use fuzzy sequences because of its wide applications. In this article we study the characterization of generalized Norlund and Norlund-type (Riesz) means of sequences of fuzzy real numbers
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