An approach to optimize the cost of transportation problem based on triangular fuzzy programming problem

被引:0
|
作者
Sapan Kumar Das
机构
[1] Ministry of Finance,Department of Revenue
来源
关键词
Fully fuzzy linear programming; Linear fractional programming; Linear programming; Multi-objective linear programming; Triangular fuzzy number; Lexicographic order;
D O I
暂无
中图分类号
学科分类号
摘要
In this article, we address a fully fuzzy triangular linear fractional programming (FFLFP) problem under the condition that all the parameters and decision variables are characterized by triangular fuzzy numbers. Utilizing the computation of triangular fuzzy numbers and Lexicographic order (LO), the FFLFP problem is changed over to a multi-objective function. Consequently, the problem is changed into a multi-objective crisp problem. This paper outfits another idea for diminishing the computational complexity, in any case without losing its viability crisp LFP issues. Lead from real-life problems, a couple of mathematical models are considered to survey the legitimacy, usefulness and applicability of our method. Finally, some mathematical analysis along with one case study is given to show the novel strategies are superior to the current techniques.
引用
收藏
页码:687 / 699
页数:12
相关论文
共 50 条
  • [32] New Approach for Solving Fuzzy Transportation Problem
    Nathiya, K.
    Balasubramanian, Kr
    Sakthivel, K.
    [J]. JOURNAL OF ALGEBRAIC STATISTICS, 2022, 13 (02) : 1274 - 1280
  • [33] A new approach for solving fuzzy transportation problem
    Gao Xin
    Liu Qiumei
    Zhen Lichang
    Wang Yiming
    Gao Yongchun
    [J]. 2014 FIFTH INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEMS DESIGN AND ENGINEERING APPLICATIONS (ISDEA), 2014, : 37 - 39
  • [34] One Point Conventional Model to Optimize Trapezoidal Fuzzy Transportation Problem
    Bisht, Dinesh C. S.
    Srivastava, Pankaj Kumar
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICAL ENGINEERING AND MANAGEMENT SCIENCES, 2019, 4 (05) : 1251 - 1263
  • [35] Solving intuitionistic fuzzy transportation problem using linear programming
    Kour D.
    Mukherjee S.
    Basu K.
    [J]. International Journal of System Assurance Engineering and Management, 2017, 8 (Suppl 2) : 1090 - 1101
  • [36] AN ADDITIVE FUZZY-PROGRAMMING MODEL FOR MULTIOBJECTIVE TRANSPORTATION PROBLEM
    BIT, AK
    BISWAL, MP
    ALAM, SS
    [J]. FUZZY SETS AND SYSTEMS, 1993, 57 (03) : 313 - 319
  • [37] FUZZY PROGRAMMING FOR MULTI-CHOICE BILEVEL TRANSPORTATION PROBLEM
    Arora, Ritu
    Gupta, Kavita
    [J]. OPERATIONS RESEARCH AND DECISIONS, 2021, 31 (03) : 5 - 21
  • [38] An approach for solving a fuzzy multiobjective programming problem
    Luhandjula, M. K.
    Rangoaga, M. J.
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2014, 232 (02) : 249 - 255
  • [39] Fuzzy transportation problem by using triangular, pentagonal and heptagonal fuzzy numbers with Lagrange’s polynomial to approximate fuzzy cost for nonagon and hendecagon
    Mhaske, Ashok Sahebrao
    Bondar, Kirankumar Laxmanrao
    [J]. International Journal of Fuzzy System Applications, 2020, 9 (01) : 112 - 129
  • [40] An Interval Programming Approach for an Operational Transportation Planning Problem
    Borodin, Valeria
    Bourtembourg, Jean
    Hnaien, Faicel
    Labadie, Nacima
    [J]. INFORMATION PROCESSING AND MANAGEMENT OF UNCERTAINTY IN KNOWLEDGE-BASED SYSTEMS, PT I, 2014, 442 : 117 - 126