Relations between order and topologies in the fuzzy number Space

In this paper, the definition of order-convergence is introduced in fuzzy number Space. Relations between order-convergence and other convergence such as endograph convergence, d_p convergence and level convergence are investigated. It follows that for uniformly support bounded set of fuzzy numbers, the d_p metric and endograph metric are both equivalent to order-convergence in the fuzzy number space.