Optimality conditions for fuzzy optimization problems under granular convexity concept

被引：17
作者：
Zhang, Jianke [1 ]
Chen, Xiaoyi [1 ]
Li, Lifeng [1 ]
Ma, Xiaojue [1 ]
机构：
[1] Xian Univ Posts & Telecommun, Sch Sci, Xian 710121, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2022年 / 447卷
关键词：
Fuzzy optimization problems; Karush-Kuhn-Tucker optimality conditions; Horizontal membership function (HMF); Granular convexity; Granular differentiability; VECTOR OPTIMIZATION; INTERVAL; KKT;
D O I：
10.1016/j.fss.2022.01.004
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, under the condition of granular differentiation, we consider the fuzzy optimization problems with the general fuzzy function as the objective function. Firstly, we introduce the concept of granular convexity, and propose the properties of the granular convex fuzzy functions. Secondly, we present the Karush-Kuhn-Tucker type optimality conditions of the fuzzy relative optimal solution of more general fuzzy programming problems and some test examples. Finally, the relationships between a class of variational inequalities and the fuzzy optimization problems are established.(c) 2022 Elsevier B.V. All rights reserved.
引用
收藏
页码：54 / 75
页数：22
相关论文
共 35 条
[11]  
Mangasarian O. L., 1969, NONLINEAR PROGRAMMIN
[12]   Z-Differential Equations [J].
Mazandaram, Mehran ;
Zhao, Yi .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2020, 28 (03) :462-473
[13]   A Review on Fuzzy Differential Equations [J].
Mazandarani, Mehran ;
Xiu, Li .
IEEE ACCESS, 2021, 9 :62195-62211
[14]   Fuzzy Bang-Bang control problem under granular differentiability [J].
Mazandarani, Mehran ;
Zhao, Yi .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (12) :4931-4951
[15]   Sub-optimal control of fuzzy linear dynamical systems under granular differentiability concept [J].
Mazandarani, Mehran ;
Pariz, Naser .
ISA TRANSACTIONS, 2018, 76 :1-17
[16]   Granular Differentiability of Fuzzy-Number-Valued Functions [J].
Mazandarani, Mehran ;
Pariz, Naser ;
Kamyad, Ali Vahidian .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2018, 26 (01) :310-323
[17]   The solution of fuzzy variational problem and fuzzy optimal control problem under granular differentiability concept [J].
Mustafa, Altyeb Mohammed ;
Gong, Zengtai ;
Osman, Mawia .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2021, 98 (08) :1495-1520
[18]   Fuzzy linear singular differential equations under granular differentiability concept [J].
Najariyan, Marzieh ;
Pariz, Naser ;
Vu, Ho .
FUZZY SETS AND SYSTEMS, 2022, 429 :169-187
[19]   The explicit solution of fuzzy singular differential equations using fuzzy Drazin inverse matrix [J].
Najariyan, Marzieh ;
Zhao, Yi .
SOFT COMPUTING, 2020, 24 (15) :11251-11264
[20]   Fuzzy Fractional Quadratic Regulator Problem Under Granular Fuzzy Fractional Derivatives [J].
Najariyan, Marzieh ;
Zhao, Yi .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2018, 26 (04) :2273-2288
1234