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Intuitionistic fuzzy \(n\)-normed algebra and continuous product. (English) Zbl 1456.46066

Summary: In this paper we extend the notion of intuitionistic fuzzy \(n\)-normed linear space (IFnNLS) to define an intuitionistic fuzzy \(n\)-normed algebra (IFnNA). We give a necessary and sufficient condition for an IFnNA to be with continuous product. Further, the concept of multiplicatively continuous product has been introduced and related results have been established. Illustrative examples have been provided in support of our results.

MSC:

46S40 Fuzzy functional analysis
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