FGP approach to quadratically constrained multi-objective quadratic fractional programming with parametric functions

被引:0
|
作者
Vandana Goyal
Namrata Rani
Deepak Gupta
机构
[1] Maharishi Markandeshwar (Deemed to be University),Department of Mathematics
来源
OPSEARCH | 2022年 / 59卷
关键词
Multiobjective quadratic fractional programming model; Fuzzy goal programming; Vector of parameters; Membership functions; Fuzzy goals; Parametric approach;
D O I
暂无
中图分类号
学科分类号
摘要
This paper presents a quadratically constrained multiobjective quadratic fractional programming model (MOQFPM) and proposed a methodology to obtain a best preferred solution with the help of parametric functions and using fuzzy goal programming. In the initial stage, we obtain a non-fractional optimization model from the multi-objective quadratic fractional programming model by assigning a vector of parameters to fractional functions. Then, in the next stage, we use fuzzy goal programming approach to obtain the best preferred solution for the decision maker to the optimization problem by finding membership functions and aspiration levels of each objective function. This methodology proposes an efficient method to obtain Pareto-optimal solution of MOQFPM.
引用
收藏
页码:594 / 602
页数:8
相关论文
共 50 条
  • [31] A cutting plane approach for multi-objective integer indefinite quadratic programming problem
    Arora R.
    Arora S.R.
    OPSEARCH, 2015, 52 (2) : 367 - 381
  • [32] SOLVING CONIC QUADRATICALLY CONSTRAINED QUADRATIC PROGRAMMING PROBLEMS
    Jin, Qingwei
    Fang, Shu-Cherng
    Lu, Cheng
    Xing, Wenxun
    PACIFIC JOURNAL OF OPTIMIZATION, 2014, 10 (03): : 503 - 516
  • [33] GENERALIZED QUADRATICALLY CONSTRAINED QUADRATIC PROGRAMMING FOR SIGNAL PROCESSING
    Khabbazibasmenj, Arash
    Vorobyov, Sergiy A.
    2014 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING (ICASSP), 2014,
  • [34] A new convex relaxation for quadratically constrained quadratic programming
    Wu, Duzhi
    Hu, Aiping
    Zhou, Jie
    Wu, Songlin
    FILOMAT, 2013, 27 (08) : 1511 - 1521
  • [35] Fuzzy goal programming approach to solve fully fuzzy multi-objective quadratic programming problem
    Tadesse, Admasu
    Acharya, M. M.
    Acharya, Srikumar
    Sahoo, Manoranjan
    INTERNATIONAL JOURNAL OF SYSTEM ASSURANCE ENGINEERING AND MANAGEMENT, 2024, 15 (02) : 705 - 712
  • [36] Fuzzy goal programming approach to solve fully fuzzy multi-objective quadratic programming problem
    Admasu Tadesse
    M. M. Acharya
    Srikumar Acharya
    Manoranjan Sahoo
    International Journal of System Assurance Engineering and Management, 2024, 15 : 705 - 712
  • [37] New bounds for nonconvex quadratically constrained quadratic programming
    Moslem Zamani
    Journal of Global Optimization, 2023, 85 : 595 - 613
  • [38] FGP approach and Rouben ranking function to bi-level multi-objective quadratic fractional problem with trapezoidal fuzzy numbers and soft fuzzy constraints
    Rani, Namrata
    Goyal, Vandana
    Gupta, Deepak
    INTERNATIONAL JOURNAL OF SYSTEM ASSURANCE ENGINEERING AND MANAGEMENT, 2022, 13 (01) : 113 - 122
  • [39] New bounds for nonconvex quadratically constrained quadratic programming
    Zamani, Moslem
    JOURNAL OF GLOBAL OPTIMIZATION, 2023, 85 (03) : 595 - 613
  • [40] FGP approach and Rouben ranking function to bi-level multi-objective quadratic fractional problem with trapezoidal fuzzy numbers and soft fuzzy constraints
    Namrata Rani
    Vandana Goyal
    Deepak Gupta
    International Journal of System Assurance Engineering and Management, 2022, 13 : 113 - 122