Computer Engineering and Applications ›› 2014, Vol. 50 ›› Issue (19): 132-135.

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New ranking function on special fuzzy numbers

XU Xin, LI Shenggang, ZHAO Hu   

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China
  • Online:2014-10-01 Published:2014-09-29

特殊模糊数集上的一种新的排序函数

徐  欣,李生刚,赵  虎   

  1. 陕西师范大学 数学与信息科学学院,西安 710062

Abstract: According to the problem of ranking fuzzy numbers, the paper gives several natural ranking criteria and puts forward a new ranking function on special fuzzy numbers. Based on the dictionary order in lattice theory, this function comprehensively determines the fuzzy numbers’ ranking sequentially through the following three indicators:the center of a fuzzy number, the area of the graph surrounded by a fuzzy number and x axis, the position of the center of gravity of a fuzzy number. This function can overcome some defects rooted in the existing methods, and has its certain superiority and instructive.

Key words: fuzzy number, ranking function, ranking criterion

摘要: 针对模糊数的排序问题,给出几条自然的排序准则并提出了一种新的特殊模糊数的排序函数。该函数基于格论中的字典序,依次通过模糊数中心、模糊数与[x]轴所围图形面积以及模糊数图形的重心位置三个指标综合确定模糊数的排序;克服了现有方法的某些缺陷,具有一定的优越性和启发性。

关键词: 模糊数, 排序函数, 排序准则