The Centroids of Trapezoidal Fuzzy Numbers

• Main Authors: Li-yun Lin, 林莉芸
• Other Authors: Bih-Sheue Shieh
• Format: Others
• Language: zh-TW
• Online Access: http://ndltd.ncl.edu.tw/handle/10584383505606151427

碩士 === 國立臺南大學 === 數學教育學系碩士班 === 95 === By using the centroid formulae for fuzzy numbers in Wang’s paper (2006) , in this paper we want to explore the variances of the centroids of trapezoidal fuzzy numbers after geometrical variations. We have the results as follows : 1. When the geometric graph of a trapezoidal fuzzy number is similar to another one, it has the corresponding centroid.. 2. Isosceles trapezoidal fuzzy numbers keep the coordinate on horizontal axis under expanding or contracting the upper and bottom sides. 3. Isosceles trapezoidal fuzzy numbers keep the coordinate on vertical axis under expanding the upper side. Moreover, by using Chu and Tsao’s area method(2002) for ranking fuzzy numbers ,we have the influence of geometrical variations on ranking fuzzy numbers.