ON FUZZY CONVEXITY AND PARAMETRIC FUZZY OPTIMIZATION

被引:54
作者
AMMAR, E [1 ]
METZ, J [1 ]
机构
[1] TECH UNIV DRESDEN,INST RECHENTECH & ANGEW DISKRETE MATH,MATH ABT,MOMMSENTR 13,O-8027 DRESDEN,GERMANY
关键词
CONVEX FUZZY SETS; GENERALIZED CONVEXITY; FUZZY NONLINEAR PROGRAMMING; SOLUTION SETS; SOLVABILITY SETS;
D O I
10.1016/0165-0114(92)90319-Y
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper some different types of convexity and generalized convexity of fuzzy sets are defined and their properties are studied. A general fuzzy nonlinear programming problem is formulated with application of the concept of convexity.
引用
收藏
页码:135 / 141
页数:7
相关论文
共 21 条
[11]  
Mangasarian O.L., 1969, NONLINEAR PROGRAMMIN
[12]  
Marti J. T., 1977, KONVEXE ANAL
[13]  
METZ J, 1968, WISS Z TECHN U DRESD, V17, P1112
[14]  
MIZUMOTO M, 1979, ADV FUZZY SET THEORY
[15]  
ORLOVSKI SA, 1984, CONTROL CYBERNETICS, V13
[16]   ON FORMALIZATION OF A GENERAL FUZZY MATHEMATICAL PROBLEM [J].
ORLOVSKY, SA .
FUZZY SETS AND SYSTEMS, 1980, 3 (03) :311-321
[17]  
Rockafellar R.T., 1970, CONVEX ANAL, V2nd
[18]   FUZZY SETS [J].
ZADEH, LA .
INFORMATION AND CONTROL, 1965, 8 (03) :338-&
[19]  
Zimmermann H.-J., 1978, Fuzzy Sets and Systems, V1, P45, DOI 10.1016/0165-0114(78)90031-3
[20]   APPLICATIONS OF FUZZY SET-THEORY TO MATHEMATICAL-PROGRAMMING [J].
ZIMMERMANN, HJ .
INFORMATION SCIENCES, 1985, 36 (1-2) :29-58