Approximations of Fuzzy Numbers by Symmetric Hexagon Fuzzy Numbers

• Main Authors: HUANG, HONG-JHIH, 黃宏志
• Other Authors: YEH, CHI-TSUEN
• Format: Others
• Language: en_US
• Published: 2018
• Online Access: http://ndltd.ncl.edu.tw/handle/9u7999

碩士 === 國立臺南大學 === 應用數學系碩士班 === 106 === Fuzzy and linguistic messages are ubiquitous in the real world. Fuzzy set is an important study for expressing these messages. In mathematics, fuzzy set is a set whose elements exist membership degrees. For ease of calculation, scholars often get approximations of fuzzy numbers by simple geometrical graphics. Currently, triangular and trapezoidal fuzzy numbers are widely applied in many fields. In order to make approximation results more accurate, we try to find other geometrical graphics. In this thesis, we use Karush-Kuhn-Tucker theorem to get approximations of fuzzy numbers by symmetric hexagon fuzzy numbers. Finally, we illustrate our result with some examples.