Method for solving fully fuzzy linear programming problems using deviation degree measure

被引：0
|
作者：
Haifang Cheng [1 ]
Weilai Huang [1 ]
Jianhu Cai [2 ]
机构：
[1] School of Management, Huazhong University of Science and Technology
[2] College of Economics and Management, Zhejiang University of Technology
来源：
JournalofSystemsEngineeringandElectronics | 2013年 / 24卷 / 05期
基金：
中国国家自然科学基金;
关键词：
fully fuzzy linear programming(FFLP); fuzzy equality constraint; triangular fuzzy number; deviation degree;
D O I：
暂无
中图分类号：
O221.1 [线性规划];
学科分类号：
摘要：
A new fully fuzzy linear programming(FFLP)problem with fuzzy equality constraints is discussed.Using deviation degree measures,the FFLP problem is transformed into a crispδ-parametric linear programming(LP)problem.Giving the value of deviation degree in each constraint,theδ-fuzzy optimal solution of the FFLP problem can be obtained by solving this LP problem.An algorithm is also proposed to find a balance-fuzzy optimal solution between two goals in conflict:to improve the values of the objective function and to decrease the values of the deviation degrees.A numerical example is solved to illustrate the proposed method.
引用
收藏
页码：793 / 799
页数：7
相关论文
共 50 条
  • [41] Solving Fuzzy Linear Programming Problem Using Defuzzification Method
    Veerraju, Nalla
    Prasannam, V. Lakshmi
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2021, 12 (02): : 335 - 345
  • [42] A New Method For Solving Fuzzy Linear Programming Problems Based on The Fuzzy Linear Complementary Problem (FLCP)
    A. Mottaghi
    R. Ezzati
    E. Khorram
    International Journal of Fuzzy Systems, 2015, 17 : 236 - 245
  • [43] A New Method For Solving Fuzzy Linear Programming Problems Based on The Fuzzy Linear Complementary Problem (FLCP)
    Mottaghi, A.
    Ezzati, R.
    Khorram, E.
    INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2015, 17 (02) : 236 - 245
  • [44] Fuzzy optimal solution of fully fuzzy linear programming problems using ranking function
    Kumar, Amit
    Kaur, Jagdeep
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (01) : 337 - 344
  • [45] Solving Fuzzy Linear Programming Problems with Fuzzy Decision Variables
    Wu, Hsien-Chung
    MATHEMATICS, 2019, 7 (07)
  • [46] SOLVING FUZZY LINEAR PROGRAMMING PROBLEM USING A FUZZY LOGARITHMIC BARRIER METHOD
    Gani, A. Nagoor
    Yogarani, R.
    ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2021, 20 (04): : 583 - 595
  • [47] USING BISECTION METHOD FOR SOLVING LINEAR BILEVEL PROGRAMMING PROBLEMS
    Jahanshahloo, A.
    Zohrehbandian, M.
    ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2016, 15 (07): : 195 - 204
  • [48] A Reply to a Note on the Paper "A Simplified Novel Technique for Solving Fully Fuzzy Linear Programming Problems"
    Khan, Izaz Ullah
    Ahmad, Tahir
    Maan, Normah
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2017, 173 (01) : 353 - 356
  • [49] A Reply to a Note on the Paper “A Simplified Novel Technique for Solving Fully Fuzzy Linear Programming Problems”
    Izaz Ullah Khan
    Tahir Ahmad
    Normah Maan
    Journal of Optimization Theory and Applications, 2017, 173 : 353 - 356
  • [50] Solving fully fuzzy linear programming problems with flexible constraints based on a new order relation
    Yang, Xiao-Peng
    Cao, Bing-Yuan
    Zhou, Xue-Gang
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2015, 29 (04) : 1539 - 1550
12345