Natural trapezoidal approximations of fuzzy numbers

被引：19

作者：

Grzegorzewski, Przemyslaw ^{[1
,2
]}

Pasternak-Winiarska, Karolina ^{[2
]}

机构：

[1] Polish Acad Sci, Syst Res Inst, PL-01447 Warsaw, Poland

[2] Warsaw Univ Technol, Fac Math & Informat Sci, PL-00662 Warsaw, Poland

来源：

FUZZY SETS AND SYSTEMS | 2014年 / 250卷

关键词：

Fuzzy number; Expected interval; Support; Core; Trapezoidal approximation; Trapezoidal fuzzy number; NEAREST PARAMETRIC APPROXIMATION; EXPECTED INTERVAL; TRIANGULAR APPROXIMATIONS; ALGORITHMS; QUANTITY; FORM;

D O I：

10.1016/j.fss.2014.03.003

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Fuzzy number approximation by trapezoidal fuzzy numbers which preserves the expected interval is considered. New operators that fulfill additional requirements for the core and support of the fuzzy number are suggested. These supplementary conditions guarantee the proper interpretation of the solution even for very skew input fuzzy numbers. Moreover, the trapezoidal approximation without expected interval invariance is also examined and the relationship between these two approximations is discussed. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：90 / 109

页数：20

共 38 条

[1] The nearest trapezoidal form of a generalized left right fuzzy number
Abbasbandy, S.
Amirfakhrian, M.
[J]. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2006, 43 (02) : 166 - 178
[2] The nearest approximation of a fuzzy quantity in parametric form
Abbasbandy, S
Amirfakhrian, M
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 172 (01) : 624 - 632
[3] The nearest trapezoidal fuzzy number to a fuzzy quantity
Abbasbandy, S
Asady, B
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 156 (02) : 381 - 386
[4] Weighted trapezoidal approximation-preserving cores of a fuzzy number
Abbasbandy, S.
Hajjari, T.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (09) : 3066 - 3077
[5] Approximations of fuzzy numbers by trapezoidal fuzzy numbers preserving the ambiguity and value
Ban, A.
Brandas, A.
Coroianu, L.
Negrutiu, C.
Nica, O.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (05) : 1379 - 1401
[6] Ban A.I., 2009, IFSA EUSFLAT WORLD C, P798
[7] Approximation of fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval
Ban, Adrian
[J]. FUZZY SETS AND SYSTEMS, 2008, 159 (11) : 1327 - 1344
[8] Ban A, 2011, ADV INTEL SYS RES, P742
[9] Trapezoidal approximation and aggregation
Ban, Adrian
Coroianu, Lucian
Grzegorzewski, Przemyslaw
[J]. FUZZY SETS AND SYSTEMS, 2011, 177 (01) : 45 - 59
[10] Discontinuity of the trapezoidal fuzzy number-valued operators preserving core
Ban, Adrian I.
Coroianu, Lucian C.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (08) : 3103 - 3110

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