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Article type: Research Article
Authors: Hazarika, Bipan*
Affiliations: Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh, Arunachal Pradesh, India
Correspondence: [*] Corresponding author. Bipan Hazarika, Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh-791112, Arunachal Pradesh, India. Tel.: +91 9436222172; Fax: +91 3602277881; E-mail: bh_rgu@yahoo.co.in.
Abstract: In this paper we introduce the concepts of ideal convergence, pointwise ideal convergence, and uniformly ideal convergence of sequences of fuzzy valued functions based on the concept of convergence of sequences of fuzzy numbers and obtain the relationship among pointwise ideal convergence and uniformly ideal convergence of sequences of fuzzy valued functions, and study their representations of sequences of α-level cuts.
Keywords: Fuzzy number, fuzzy valued function, ideal convergence, pointwise ideal convergence, uniformly ideal convergence
DOI: 10.3233/JIFS-16662
Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2665-2677, 2017
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