Equality and identity of fuzzy numbers and fuzzy arithmetic with equality constraints

被引：3

作者：

Liu, Haitao ^{[1
]}

Guo, Sizong ^{[1
]}

机构：

[1] Liaoning Tech Univ, Coll Sci, Fuxin 123000, Peoples R China

来源：

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEMS AND KNOWLEDGE ENGINEERING (ISKE 2007) | 2007年

关键词：

fuzzy numbers; identity; generalized constraint operators; fuzzy equation;

D O I：

10.2991/iske.2007.56

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The difference between equality and identity of two fuzzy numbers is discussed in this paper. According to fuzzy arithmetic with requisite constraints put forward by Klir, the fuzzy arithmetic with equality constraints and its expression based on structured element are put forward, and then the irreversible problem in traditional fuzzy arithmetic is solved. From the expression based on structured element, the fuzzy arithmetic with equality constraints is turned into the operation of two monotone functions with the same monotonic form. From this transition we get the operation method of equality constraint arithmetic and the calculation method of fuzzy equation.

引用

页数：1

共 9 条

[1] FUZZY MAPPING AND CONTROL
CHANG, SSL
ZADEH, LA
[J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1972, SMC2 (01): : 30 - &
[2] TOLERANCE ANALYSIS USING FUZZY SETS AND A PROCEDURE FOR MULTIPLE ASPECT DECISION-MAKING - COMMENT
DUBOIS, D
PRADE, H
[J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1978, 9 (03) : 357 - 360
[3] [郭嗣琮 Guo Sicong], 2004, [模糊系统与数学, Fuzzy Systems and Mathematics], V18, P68
[4] [郭嗣琮 Guo SiZong], 2005, [模糊系统与数学, Fuzzy Systems and Mathematics], V19, P105
[5] Fuzzy arithmetic with requisite constraints
Klir, GJ
[J]. FUZZY SETS AND SYSTEMS, 1997, 91 (02) : 165 - 175
[6] LUO CZ, 1994, THEORY FUZZY SETS
[7] Wu C., 1991, The Basic of Fuzzy Analysis
[8] FUZZY SETS
ZADEH, LA
[J]. INFORMATION AND CONTROL, 1965, 8 (03): : 338 - &
[9] 郭嗣琮, 2004, [自然科学进展, Progress in Natural Science], V14, P1318

← 1 →