Ranking nonnormal p-norm trapezoidal fuzzy numbers with integral value

被引：29

作者：

Chen, Chi-Chi ^{[2
]}

Tang, Hui-Chi ^{[1
]}

机构：

[1] Natl Kaohsiung Univ Appl Sci, Dept Ind Engn & Management, Kaohsiung 80778, Taiwan

[2] Cheng Shiu Univ, Dept Ind Engn & Management, Kaohsiung 833, Taiwan

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 56卷 / 09期

关键词：

Ranking; Integral value; Nonnormal fuzzy numbers; p-norm trapezoidal fuzzy numbers;

D O I：

10.1016/j.camwa.2008.05.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

This paper considers the ranking fuzzy numbers with integral value, proposed by Liou and Wang, for the nonnormal p-norm trapezoidal fuzzy numbers. Two interesting special cases of p-norm trapezoidal fuzzy numbers are the well-known triangular and trapezoidal fuzzy numbers. For the nonnormal fuzzy numbers, the differences exist among the membership functions for the triangular, trapezoidal and p-norm trapezoidal fuzzy numbers. These differences can affect their left, right and total integral values, so we establish the relationship between these three types of fuzzy numbers. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2340 / 2346

页数：7

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