Interval methods and fuzzy optimization

被引:17
作者
Lodwick, WA [1 ]
Jamison, KD [1 ]
机构
[1] UNIV COLORADO,DEPT MATH,DENVER,CO 80217
关键词
fuzzy/interval number; fuzzy/interval function; fuzzy/interval optimization;
D O I
10.1142/S0218488597000221
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, we describe interval-based methods for solving constrained fuzzy optimization problems. The class of fuzzy functions we consider for the optimization problems is the set of real-valued functions where one or more parameters/coefficients are fuzzy numbers. The focus of this research is to explore some relationships between fuzzy set theory and interval analysis as it relates to optimization problems.
引用
收藏
页码:239 / 249
页数:11
相关论文
共 16 条
[1]  
BUCKLEY JJ, 1995, FUZZY SETS SYSTEMS, V72, P214
[2]   FUZZY-REASONING FOR SOLVING FUZZY MATHEMATICAL-PROGRAMMING PROBLEMS [J].
FULLER, R ;
ZIMMERMANN, HJ .
FUZZY SETS AND SYSTEMS, 1993, 60 (02) :121-133
[3]  
JAMISON KD, 1996, 80 UCD CCM
[4]  
Kaufmann A, 1985, INTRO FUZZY ARITHMET
[5]   Fixed point theorem for contractive-type fuzzy mappings [J].
Lee, Byung Soo ;
Cho, Sung Jin .
Fuzzy Sets and Systems, 1994, 61 (03)
[6]   ANALYSIS OF STRUCTURE IN FUZZY LINEAR-PROGRAMS [J].
LODWICK, WA .
FUZZY SETS AND SYSTEMS, 1990, 38 (01) :15-26
[7]   FUZZY OPTIMIZATION - AN APPRAISAL [J].
LUHANDJULA, MK .
FUZZY SETS AND SYSTEMS, 1989, 30 (03) :257-282
[8]  
Moore R.E., 1979, STUDIES APPL NUMERIC
[9]   MAXIMIZATION OF A FUNCTION OVER A FUZZY DOMAIN [J].
SAADE, JJ .
FUZZY SETS AND SYSTEMS, 1994, 62 (01) :55-70
[10]   AN INTERACTIVE FUZZY SATISFICING METHOD FOR MULTIOBJECTIVE NONLINEAR-PROGRAMMING PROBLEMS WITH FUZZY PARAMETERS [J].
SAKAWA, M ;
YANO, H .
FUZZY SETS AND SYSTEMS, 1989, 30 (03) :221-238