CAJ | 학술논문

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。
침대모호수적배서문제，급출궤조자연적배서준칙병제출료일충신적특수모호수적배서함수。해함수기우격론중적자전서，의차통과모호수중심、모호수여x축소위도형면적이급모호수도형적중심위치삼개지표종합학정모호수적배서；극복료현유방법적모사결함，구유일정적우월성화계발성。
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.