Two duality problems for a class of multi-objective fractional programming

被引：0
|
作者：
机构：
[1] Gao, Xiaoyan
来源：
Gao, Xiaoyan | 1600年 / Transport and Telecommunication Institute, Lomonosova street 1, Riga, LV-1019, Latvia卷 / 18期
关键词：
Fractional programming - Generalized invexity - Invexity - Multi-objective programming problem - Non-differentiable - Parametric dual - Strict converse duality theorems - Wolfe dual;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this article, we investigate the duality results for a class of non-differentiable multi-objective fractional programming problems. The parametric dual models and Wolfe dual models are formulated for this fractional programming. Weak, strong and strict converse duality theorems are established and proved based on the generalized invexity assumptions. Some previous duality results for differentiable multi-objective programming problems turn out to be special cases for the results described in the paper.
引用
收藏
相关论文
共 50 条
  • [41] A fuzzy mathematical model to solve multi-objective trapezoidal fuzzy fractional programming problems
    Maharana, Sujit
    Nayak, Suvasis
    INTERNATIONAL JOURNAL OF SYSTEM ASSURANCE ENGINEERING AND MANAGEMENT, 2024, 15 (06) : 2757 - 2771
  • [42] Duality for Multi Objective Fractional Programming via Linearization and Scalarization Approaches
    C. S. Lalitha
    Pankaj K. Garg
    Seema Khurana
    OPSEARCH, 2005, 42 (1) : 37 - 54
  • [43] A two-phase approach for multi-objective programming problems with fuzzy coefficients
    Arikan, Feyzan
    Guengoer, Zuelal
    INFORMATION SCIENCES, 2007, 177 (23) : 5191 - 5202
  • [44] Multi-Objective Probabilistic Fractional Programming Problem Involving Two Parameters Cauchy Distribution
    Acharya, Srikumar
    Belay, Berhanu
    Mishra, Rajashree
    MATHEMATICAL MODELLING AND ANALYSIS, 2019, 24 (03) : 385 - 403
  • [45] A NEW APPROACH FOR SOLVING FULLY FUZZY LINEAR FRACTIONAL PROGRAMMING PROBLEMS USING THE MULTI-OBJECTIVE LINEAR PROGRAMMING
    Das, Sapan Kumar
    Mandal, Tarni
    Edalatpanah, S. A.
    RAIRO-OPERATIONS RESEARCH, 2017, 51 (01) : 285 - 297
  • [46] DUALITY IN A CLASS OF NON-LINEAR FRACTIONAL PROGRAMMING-PROBLEMS
    PARKASH, O
    SAXENA, PC
    PATKAR, V
    NATIONAL ACADEMY SCIENCE LETTERS-INDIA, 1979, 2 (07): : 267 - 268
  • [47] Mixed Duality of Multi-Objective Programming Involving a Kind of Generalized Convexity
    Li, Xiangyou
    PROCEEDINGS OF 2016 12TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND SECURITY (CIS), 2016, : 48 - 51
  • [48] DUALITY FOR A CLASS OF CONTINUOUS-TIME FRACTIONAL-PROGRAMMING PROBLEMS
    ZALMAI, GJ
    UTILITAS MATHEMATICA, 1987, 31 : 209 - 218
  • [49] Solving Multi-Objective Linear Fractional Programming Problems via Zero-Sum Game
    Temelcan, Gizem
    Albayrak, Inci
    Sivri, Mustafa
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2022, 17 (02): : 508 - 522
  • [50] On robust weakly ε-efficient solutions for multi-objective fractional programming problems under data uncertainty
    Manesh, Shima Soleimani
    Saraj, Mansour
    Alizadeh, Mahmood
    Momeni, Maryam
    AIMS MATHEMATICS, 2022, 7 (02): : 2331 - 2347
12345