Parametric representation of intuitionistic fuzzy numbers

• Main Authors: Chun-chieh Chen, 陳俊傑
• Other Authors: Chi-Tsuen Yeh
• Format: Others
• Language: en_US
• Online Access: http://ndltd.ncl.edu.tw/handle/05081396622166286857

碩士 === 國立臺南大學 === 數學教育學系碩士班 === 97 === As soon as Zadeh introduced fuzzy sets, new generalizing theories and concepts treating uncertainty have been proposed. He also proposed extension principle which made the original sets be fuzzy sets. The last years there is a growing interest in extensions of fuzzy set theory which can model not only vague information (gradations in the notion of membership), but also uncertainty (lack of information). The concept of intuitionistic fuzzy sets (IFS), a generalization of fuzzy sets (FS), was introduced by Atanassov in 1983. In this article, we shall apply Atanassov’s results to introduce intuitionistic fuzzy numbers. Finally, we shall apply intuitionistic fuzzy numbers under Zadeh’s extension principle are also intuitionistic fuzzy numbers.