Triangular and parametric approximations of fuzzy numbers-inadvertences and corrections

被引:44
作者
Ban, Adrian I. [1 ]
机构
[1] Univ Oradea, Dept Math & Informat, Oradea 410087, Romania
关键词
Fuzzy numbers; Triangular fuzzy number; Approximation; TRAPEZOIDAL APPROXIMATIONS; EXPECTED INTERVAL; QUANTITY; FORM;
D O I
10.1016/j.fss.2009.04.003
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Recent papers were dedicated to approximate fuzzy numbers by triangular, trapezoidal or parametric fuzzy numbers, with or without additional conditions. Unfortunately, the result of approximation is not always a fuzzy number, sometimes it is not a fuzzy set. We point out the wrongs and inadvertences in some recent papers, then we correct the results. (c) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:3048 / 3058
页数:11
相关论文
共 19 条
[1]   The nearest trapezoidal form of a generalized left right fuzzy number [J].
Abbasbandy, S. ;
Amirfakhrian, M. .
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2006, 43 (02) :166-178
[2]   The nearest approximation of a fuzzy quantity in parametric form [J].
Abbasbandy, S ;
Amirfakhrian, M .
APPLIED MATHEMATICS AND COMPUTATION, 2006, 172 (01) :624-632
[3]   The nearest trapezoidal fuzzy number to a fuzzy quantity [J].
Abbasbandy, S ;
Asady, B .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 156 (02) :381-386
[4]   Note on "Trapezoidal approximation of fuzzy numbers" [J].
Allahviranloo, T. ;
Firozja, M. Adabitabar .
FUZZY SETS AND SYSTEMS, 2007, 158 (07) :755-756
[5]   Approximation of fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval [J].
Ban, Adrian .
FUZZY SETS AND SYSTEMS, 2008, 159 (11) :1327-1344
[6]   Nearest interval approximation of an intuitionistic fuzzy number [J].
Ban, Adrian I. .
Computational Intelligence, Theory and Application, 2006, :229-240
[7]   Metrics and orders in space of fuzzy numbers [J].
Grzegorzewski, P .
FUZZY SETS AND SYSTEMS, 1998, 97 (01) :83-94
[8]   Trapezoidal approximations of fuzzy numbers [J].
Grzegorzewski, P ;
Mrówka, E .
FUZZY SETS AND SYSTEMS, 2005, 153 (01) :115-135
[9]   Nearest interval approximation of a fuzzy number [J].
Grzegorzewski, P .
FUZZY SETS AND SYSTEMS, 2002, 130 (03) :321-330