On New Centroid Based Techniques for Solving Fuzzy Linear Programming Problems

被引:4
|
作者
Bhattacharyya, Sudip [1 ]
Majumdar, Pinaki [1 ]
机构
[1] MUC Womens Coll, Dept Math, Burdwan, W Bengal, India
关键词
Fuzzy linear programming problem (FLPP); Fully fuzzy linear programming problem (FFLPP); Triangular fuzzy number; Trapezoidal fuzzy numbers; Centroid;
D O I
10.5391/IJFIS.2019.19.4.299
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper we have proposed some new techniques based on the centroid of triangular and trapezoidal fuzzy numbers to solve a fuzzy linear programming problem. These proposed methods are easy to implement with less number of arithmetic operations required compared to the existing methods. To illustrate the proposed method, numerical examples are given. A comparative study between the proposed methods and existing methods are given at the end. The superiority of these centroid based methods over known ranking function method has also been shown with an example.
引用
收藏
页码:299 / 306
页数:8
相关论文
共 50 条
  • [21] A new fuzzy neural network model for solving fuzzy linear programming problems and its applications
    Effati, Sohrab
    Pakdaman, Morteza
    Ranjbar, Mahdi
    [J]. NEURAL COMPUTING & APPLICATIONS, 2011, 20 (08): : 1285 - 1294
  • [22] Solving Fuzzy Linear Programming Problems with Piecewise Linear Membership Function
    Effati, S.
    Abbasiyan, H.
    [J]. APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2010, 5 (02): : 504 - 533
  • [23] A new algorithm for solving linear programming problems
    Ramirez, A. L.
    Buitrago, O.
    Britto, R. A.
    Fedossova, A.
    [J]. INGENIERIA E INVESTIGACION, 2012, 32 (02): : 68 - 73
  • [24] 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.
    [J]. RAIRO-OPERATIONS RESEARCH, 2017, 51 (01) : 285 - 297
  • [25] A new approximate algorithm for solving multiple objective linear programming problems with fuzzy parameters
    Wu, FJ
    Lu, J
    Zhang, GQ
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 174 (01) : 524 - 544
  • [26] Solving intuitionistic fuzzy linear programming problems by ranking function
    Suresh, M.
    Vengataasalam, S.
    Prakash, K. Arun
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 27 (06) : 3081 - 3087
  • [27] A note on the Zimmermann method for solving fuzzy linear programming problems
    Safi, M. R.
    Maleki, H. R.
    Zaeimazad, F.
    [J]. IRANIAN JOURNAL OF FUZZY SYSTEMS, 2007, 4 (02): : 31 - 45
  • [28] Simplex Method for Solving Linear Programming Problems with Fuzzy Numbers
    Nasseri, S. H.
    Ardil, E.
    Yazdani, A.
    Zaefarian, R.
    [J]. PROCEEDINGS OF WORLD ACADEMY OF SCIENCE, ENGINEERING AND TECHNOLOGY, VOL 10, 2005, 10 : 284 - 288
  • [29] A goal programming procedure for solving fuzzy multiobjective fractional linear programming problems
    Peric, Tunjo
    Babic, Zoran
    Resic, Sead
    [J]. CROATIAN OPERATIONAL RESEARCH REVIEW, 2014, 5 (02) : 401 - 414
  • [30] Centroid for Solving Bi-Level Linear Fractional Programming Problems with Fuzzy Interval Coefficients by Utilizing MO-Technique
    Abdulrahim, Basiya K.
    Sulaiman, Nejmaddin A.
    Sadiq, Gulnar W.
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2023, 44 (03) : 4963 - 4973