The means of fuzzy n- cell numbers and the pre-orders on fuzzy n-cell number space

摘要

In this paper, we study the problems with respect to means and pre-orders for fuzzy n - cell numbers. Firstly, we introduce some concepts of vector-valued means and weight number-valued means of fuzzy n - cell numbers, and investigate their properties. And then, bases on these means, we define some binary relations on fuzzy n - cell number space, study their properties, and point out they are weak orders or pre-orders.