Admissible orders and linear forms

From the more than two hundred partial orders for fuzzy numbers proposed in the literature, only a few are total. In this article, we introduce the notion of admissible order for fuzzy numbers equipped with a partial order, i.e., a total order which ...

Ordering relations such as total orders, partial orders and preorders play important roles in a host of applications such as automated decision making, image processing, and pattern recognition. A total order that extends a given partial order is ...

In this paper, we systematically study the algebraic structures of the spaces L ( [ 0 , 1 ] ), encompassing all closed subintervals of [ 0 , 1 ], under the generated admissible orders. We first prove that the admissible order on L ( [ 0 , 1 ] ) ...