On solving uncooperative linear bilevel multi-follower programming problems

被引：1
|
作者：
Moslemi, Fatemeh [1 ]
Sadeghi, Habibe [1 ]
机构：
[1] Shahid Chamran Univ Ahvaz, Fac Math Sci & Comp, Dept Math, Ahvaz, Iran
来源：
PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH | 2022年 / 18卷 / 01期
关键词：
Bilevel programming; Efficient set; Multi-follower programming; Multi-objective programming; EFFICIENT SET; OPTIMIZATION; ALGORITHM;
D O I：
10.18187/pjsor.v18i1.3261
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
The relationship between the reference-uncooperative linear bilevel two-follower decision making and the multi objective decision making has been recently considered (Sadeghi and Moslemi, 2019). In this paper, we address the foregoing relation for the uncooperative linear bilevel multi-follower programming (ULBMFP) model with k >= 2 followers. Furthermore, we consider some geometric properties of the feasible solutions set of the ULBMFP problem. Moreover, an algorithm to find an optimal solution for the ULBMFP problem was proposed. Ultimately, some numerical examples to illustrate the proposed algorithm were provided.
引用
收藏
页码：1 / 12
页数：12
相关论文
共 50 条
  • [1] Linear bilevel multi-follower programming with independent followers
    Herminia I. Calvete
    Carmen Galé
    [J]. Journal of Global Optimization, 2007, 39 : 409 - 417
  • [2] Linear bilevel multi-follower programming with independent followers
    Calvete, Herminia I.
    Gale, Carmen
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2007, 39 (03) : 409 - 417
  • [3] A Novel Solution Approach for Fuzzy Linear Bilevel Multi-follower Programming Problems
    Seth, Taniya
    Muhuri, Pranab K.
    [J]. 2018 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2018,
  • [4] A multiple objective programming approach to linear bilevel multi-follower programming
    Sadeghi, Habibe
    Moslemi, Fatemeh
    [J]. AIMS MATHEMATICS, 2019, 4 (03): : 763 - 778
  • [5] The Kth-best approach for linear bilevel multi-follower programming
    Shi, CG
    Zhang, GQ
    Lu, J
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2005, 33 (04) : 563 - 578
  • [6] The Kth-Best Approach for Linear Bilevel Multi-follower Programming
    Chenggen Shi
    Guangquan Zhang
    Jie Lu
    [J]. Journal of Global Optimization, 2005, 33 : 563 - 578
  • [7] Models and algorithm for fuzzy multi-objective multi-follower linear bilevel programming
    Zhang, Guangquan
    Lu, Re
    Dillon, Tharam
    [J]. 2007 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-4, 2007, : 681 - +
  • [8] FUZZY BILEVEL PROGRAMMING: MULTI-OBJECTIVE AND MULTI-FOLLOWER WITH SHARED VARIABLES
    Zhang, Guangquan
    Lu, Jie
    Gao, Ya
    [J]. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2008, 16 : 105 - 133
  • [9] Models and algorithms for fuzzy multi-objective multi-follower linear bilevel programming in a partial cooperative situation
    Zhang, Guangquan
    Lu, Jie
    Zeng, Xianyi
    [J]. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEMS AND KNOWLEDGE ENGINEERING (ISKE 2007), 2007,
  • [10] An algorithm for fuzzy multi-objective multi-follower partial cooperative bilevel programming
    Zhang, Guangquan
    Lu, Jie
    Gao, Ya
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2008, 19 (4-5) : 303 - 319
12345