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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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
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spelling ndltd-TW-102NTNT05070122016-02-21T04:21:02Z http://ndltd.ncl.edu.tw/handle/77025100346118372687 Trapezoidal approximations of fuzzy numbers preserving the value and the area 保持值與面積的梯形模糊數逼近 Jia-Chuen Du 杜嘉純 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. Chi-Tsuen Yeh 葉啟村 2014 學位論文 ; thesis 26 en_US
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description 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.
author2 Chi-Tsuen Yeh
author_facet Chi-Tsuen Yeh
Jia-Chuen Du
杜嘉純
author Jia-Chuen Du
杜嘉純
spellingShingle Jia-Chuen Du
杜嘉純
Trapezoidal approximations of fuzzy numbers preserving the value and the area
author_sort Jia-Chuen Du
title Trapezoidal approximations of fuzzy numbers preserving the value and the area
title_short Trapezoidal approximations of fuzzy numbers preserving the value and the area
title_full Trapezoidal approximations of fuzzy numbers preserving the value and the area
title_fullStr Trapezoidal approximations of fuzzy numbers preserving the value and the area
title_full_unstemmed Trapezoidal approximations of fuzzy numbers preserving the value and the area
title_sort trapezoidal approximations of fuzzy numbers preserving the value and the area
publishDate 2014
url http://ndltd.ncl.edu.tw/handle/77025100346118372687
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