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Journal from gdlhub / 2022-02-16 15:03:42
Oleh : Conghua Yan, Fuzzy Information and Engineering
Dibuat : 2022-02-16, dengan 0 file

Keyword : Fuzzy metric spaces, fuzzy normed linear space, Cauchy fuzzy point sequence, uniformly dense in every stratum, completion
Url : http://www.tandfonline.com/doi/full/10.1080/16168658.2021.1943876
Sumber pengambilan dokumen : WEB

In this paper, the completion of fuzzy normed linear space (in the sense of Bag and Samanta) is studied. First, some properties of convergence fuzzy point sequences are discussed. Specially, we give another characterisation of Q-neighbourhood base of θλ(λ∈(0,1]) for I-topology introduced by Saheli. Then we show that each fuzzy normed linear space has an (up to isomorphism) unique complete fuzzy normed linear space which contains an uniformly dense in every stratum subspace isomorphic to it.

Deskripsi Alternatif :

In this paper, the completion of fuzzy normed linear space (in the sense of Bag and Samanta) is studied. First, some properties of convergence fuzzy point sequences are discussed. Specially, we give another characterisation of Q-neighbourhood base of θλ(λ∈(0,1]) for I-topology introduced by Saheli. Then we show that each fuzzy normed linear space has an (up to isomorphism) unique complete fuzzy normed linear space which contains an uniformly dense in every stratum subspace isomorphic to it.

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