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In this article we introduce the notation difference operator ∆ m (m ≥ 0 be an integer) for studying some properties defined with interval numbers. We introduced the classes of sequence¯ (p)(∆ m),c(p)(∆ m) andc 0 (p)(∆ m) and investigate different algebraic properties like completeness, solidness, convergence free etc.

In this paper we introduce the λ -quasi Cauchy sequence of fuzzy numbers. We obtain the relation between strongly λ-quasi Cauchy convergence and statistically λ -quasi Cauchy convergence for fuzzy numbers.