The nearest approximation of a fuzzy quantity in parametric form

被引:58
作者
Abbasbandy, S [1 ]
Amirfakhrian, M
机构
[1] Imam Khomeini Int Univ, Dept Math, Fac Sci, Qazvin 34194288, Iran
[2] Islamic Azad Univ, Dept Math, Sci & Res Branch, Tehran 14515397, Iran
关键词
approximation; trapezoidal fuzzy number; value; ambiguity;
D O I
10.1016/j.amc.2005.02.019
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Applications of fuzzy logic and fuzzy mathematics are increasing widely all around the world. Thus working with fuzzy numbers are very important. In many applications of fuzzy mathematics we need (or it is better) to work with the same fuzzy numbers. In this work we approximate parametric fuzzy numbers with polynomial parametric fuzzy numbers. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码:624 / 632
页数:9
相关论文
共 8 条
[1]   The nearest trapezoidal fuzzy number to a fuzzy quantity [J].
Abbasbandy, S ;
Asady, B .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 156 (02) :381-386
[2]  
[Anonymous], 1991, FUZZY SET THEORY ITS
[3]   On a canonical representation of fuzzy numbers [J].
Delgado, M ;
Vila, MA ;
Voxman, W .
FUZZY SETS AND SYSTEMS, 1998, 93 (01) :125-135
[4]   Nearest interval approximation of a fuzzy number [J].
Grzegorzewski, P .
FUZZY SETS AND SYSTEMS, 2002, 130 (03) :321-330
[5]   A new approach for defuzzification [J].
Ma, M ;
Kandel, A ;
Friedman, M .
FUZZY SETS AND SYSTEMS, 2000, 111 (03) :351-356
[6]   A new approach for defuzzification (vol 111, pg 351, 2000) [J].
Ma, M ;
Kandel, A ;
Friedman, M .
FUZZY SETS AND SYSTEMS, 2002, 128 (01) :133-134
[7]   Some remarks on distances between fuzzy numbers [J].
Voxman, W .
FUZZY SETS AND SYSTEMS, 1998, 100 (1-3) :353-365
[8]   Ranking fuzzy numbers based on decomposition principle and signed distance [J].
Yao, JS ;
Wu, KM .
FUZZY SETS AND SYSTEMS, 2000, 116 (02) :275-288