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Ideal convergence in 2-fuzzy 2-normed spaces
Author(s) -
M. H. M. Rashid,
Ljubi sa D.R. Kocinac
Publication year - 2017
Publication title -
hacettepe journal of mathematics and statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.312
H-Index - 26
ISSN - 1303-5010
DOI - 10.15672/hjms.2016.406
Subject(s) - mathematics , ideal (ethics) , fuzzy logic , convergence (economics) , pure mathematics , discrete mathematics , artificial intelligence , philosophy , epistemology , economics , economic growth , computer science
In this paper we introduce the notion of $\mathcal{I}$-convergence and $\mathcal{I}$ -Cauchyness of sequences in 2-fuzzy 2-normed spaces and established some basic results related to these notions. Further, we define $\mathcal{I}$ -limit and $\mathcal{I}$ -cluster points of a sequence in a 2-fuzzy 2-normed linear space and investigate the relations between these concepts.

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