CAJ | 학술논문

采用几何方法精确地计算了广义梯形模糊数的重心（COG），提出了一种度量广义梯形模糊数相似性测度的新方法；考虑了广义梯形模糊数之间的几何距离、重心、周长和面积；证明了所提出相似性测度的一些基本性质．最后，通过实例说明文章提出的度量方法比现有方法能更好地度量广义梯形模糊数的相似性测度．
채용궤하방법정학지계산료엄의제형모호수적중심（COG），제출료일충도량엄의제형모호수상사성측도적신방법；고필료엄의제형모호수지간적궤하거리、중심、주장화면적；증명료소제출상사성측도적일사기본성질．최후，통과실례설명문장제출적도량방법비현유방법능경호지도량엄의제형모호수적상사성측도．
This paper presents a correct geometric method to calculate the center of gravity (COG) of general- ized trapezoidal fuzzy numbers. We present a novel method to measure the degree of similarity between general- ized trapezoidal fuzzy numbers based on the geometric distance, the center of gravity, the area and the perimeter of these kinds of fuzzy numbers. Then, we also prove some properties of the proposed similarity measure. Final- ly, we use sixteen sets of generalized trapezoidal fuzzy numbers to compare with the existing measures.