On some sets of fuzzy-valued sequences with the level sets
نویسندگان
چکیده
In this paper, we introduce the sets of bounded, convergent and null series and the set of sequences of bounded variation of fuzzy numbers with the level sets. We investigate the relationships between these sets and their classical forms and give some properties including definitions, lemmas and various kind of fuzzy metric spaces. Furthermore, we study some of their properties like completeness, duality and present some illustrative examples related to these sets. Finally, we obtain the alpha-, betaand gamma-duals of the sets of sequences of fuzzy numbers with respect to the level sets.
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