Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In this short paper,  show that the statistical convergence of a sequence of fuzzy numbers with respect to the supremum metric is equivalent to the uniform statistical convergence of the sequences of functions which are defined via the endpoints of α-cuts of the same fuzzy numbers sequence.  introduce the concept of levelwise statistical convergence and present the analogous relation beten levelwise statistical convergence of a sequence of fuzzy numbers and pointwise statistical convergence of the sequences of endpoint functions.
['Salih Aytar', 'Serpil Pehlivan']
I am writing a research paper on a idea Statistical convergence of sequences of fuzzy numbers and sequences of α−cuts
[{"from": "human", "value": "I am writing a research paper on a idea Statistical convergence of sequences of fuzzy numbers and sequences of \u03b1\u2212cuts"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In this short paper,  show that the statistical convergence of a sequence of fuzzy numbers with respect to the supremum metric is equivalent to the uniform statistical convergence of the sequences of functions which are defined via the endpoints of \u03b1-cuts of the same fuzzy numbers sequence.  introduce the concept of levelwise statistical convergence and present the analogous relation beten levelwise statistical convergence of a sequence of fuzzy numbers and pointwise statistical convergence of the sequences of endpoint functions."}]