关键词: 梯形模糊数, 等距分片, 有序表示, 中心坐标, 指标排序准则

Abstract: The ranking of fuzzy numbers occupies a very important position in the problems of decision analysis and optimization, and a fuzzy number can be approximately decomposed into several small shard trapezoidal form of superposition. Therefore, the ranking problem of trapezoidal fuzzy number is very important. In this paper, a trapezoidal fuzzy number can be implemented in a vertical lengthways segmentation along the axis-y through introducing the method of equidistant subdivision, and an ordered expression of the trapezoidal fuzzy number may be obtained. Secondly, according to the center weighted average rule the horizontal and vertical center formula of a trapezoidal fuzzy number is improved, and a new index ranking criterion is put forward. Finally, we verify the effectiveness of the new ranking method through an example analysis.

Key words: trapezoidal fuzzy number, equidistant subdivision, ordered expression, center coordinates, index ranking criterion