Generalized Nörlund and Nörlund-type Means of Sequences of Fuzzy Numbers

Pradosh Kumar Pattanaik, Susanta Kumar Paikray, Bidu Bhusan Jena

Abstract

In this article we study some properties of generalized Nörlund and Nörlund-type
means 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.

Keywords

Generalized N ̈orlund mean, Generalized Riesz mean, Fuzzy real numbers, Slow oscillation

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