Trapezoidal approximations of fuzzy numbers preserving the value and the area

碩士 === 國立臺南大學 === 應用數學系碩士班 === 102 === In the past, many problems of finding the nearest trapezoidal approximation of a fuzzy number have been studied. The trapezoidal approximations preserving one of the value, the area and the ambiguity of the fuzzy number are also solved. In this paper, we propos...

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Bibliographic Details
Main Authors: Jia-Chuen Du, 杜嘉純
Other Authors: Chi-Tsuen Yeh
Format: Others
Language:en_US
Published: 2014
Online Access:http://ndltd.ncl.edu.tw/handle/77025100346118372687
Description
Summary:碩士 === 國立臺南大學 === 應用數學系碩士班 === 102 === In the past, many problems of finding the nearest trapezoidal approximation of a fuzzy number have been studied. The trapezoidal approximations preserving one of the value, the area and the ambiguity of the fuzzy number are also solved. In this paper, we propose a method to solve the trapezoidal approximations of fuzzy numbers preserving both the value and the area and find out the most efficient one. At the end, we give some examples to show that the presented method is valid.