Bounded variation of sequences of fuzzy numbers by using generalized weighted mean

Article type: Research Article

Authors: Ojha, Sarita^* | Srivastava, PD

Affiliations: Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, India

Correspondence: [*] Correspondence to: Sarita Ojha, Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India. Tel.: +91 3222 283678; Fax: +91 3222 255303; E-mail: [email protected].

Abstract: A new class of bounded variation of sequences of fuzzy numbers by using generalized weighted mean is introduced. It is shown that this class forms a complete quasilinear metric space under some suitable metric. Further, various properties such as solidness, symmetric etc are investigated.

Keywords: Sequences of fuzzy numbers, bounded variation, generalized weighted mean, AMS subject classification: 46S40, 03E72

DOI: 10.3233/IFS-151590

Journal: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 1, pp. 235-240, 2015