Chapter 8

Sequences of Fuzzy Numbers

Feyzi Basar

Abstract

This chapter is devoted to the sequences of fuzzy numbers. After presenting the fundamental facts concerning convergent sequences of fuzzy numbers, some results on statistical convergence of sequences of fuzzy numbers and related results are given. Also the α-,fi β-, γ- duals of the classical sets l∞(F), c(F), c0(F) and lp(F) of all bounded, convergent, null and absolutely p-summable sequences of fuzzy numbers are determined and the classes (µ(F) : l∞(F)), (c0(F) : c(F)), (c0 F) : c0(F)), (c(F) : c(F); p), (lp(F) : c(F)), (lp(F) : c0(F)) and (l∞F) : c0(F)) of in nite matrices of fuzzy numbers are characterized, where µ Ε {l∞, c; c0; lp}. Finally, the quasilinearity of the classical sets of sequences of fuzzy numbers is investigated.

Total Pages: 315-378 (64)

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