A Novel Approach to Solve Fully Fuzzy Linear Programming Problems with Modified Triangular Fuzzy Numbers

被引：11
|
作者：
Ghoushchi, Saeid Jafarzadeh [1 ]
Osgooei, Elnaz [2 ]
Haseli, Gholamreza [3 ]
Tomaskova, Hana [4 ]
机构：
[1] Urmia Univ Technol, Fac Ind Engn, Orumiyeh 57166, Iran
[2] Urmia Univ Technol, Fac Sci, Orumiyeh 57166, Iran
[3] Shiraz Univ, Fac Econ Management & Social Sci, Dept Management, Shiraz 71345, Iran
[4] Univ Hradec Kralove, Fac Informat & Management, Hradec Kralove 50006, Czech Republic
来源：
MATHEMATICS | 2021年 / 9卷 / 22期
关键词：
modified triangular fuzzy numbers; fuzzy decision variables; fully fuzzy linear programming; alpha-cut theory;
D O I：
10.3390/math9222937
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Recently, new methods have been recommended to solve fully fuzzy linear programming (FFLP) issues. Likewise, the present study examines a new approach to solve FFLP issues through fuzzy decision parameters and variables using triangular fuzzy numbers. The strategy, which is based on alpha-cut theory and modified triangular fuzzy numbers, is suggested to obtain the optimal fully fuzzy solution for real-world problems. In this method, the problem is considered as a fully fuzzy problem and then is solved by applying the new definition presented for the triangular fuzzy number to optimize decision variables and the objective function. Several numerical examples are solved to illustrate the above method.
引用
收藏
页数：13
相关论文
共 50 条
  • [1] Multi-Objective Fully Fuzzy Linear Programming Problems With Triangular Fuzzy Numbers
    Yang, Xiao-Peng
    Cao, Bing-Yuan
    Lin, Hai-Tao
    [J]. 2014 11TH INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY (FSKD), 2014, : 171 - 177
  • [2] A fuzzy linear programming algorithm with triangular fuzzy numbers
    Wen, Y. P.
    Pan, S. P.
    [J]. BASIC & CLINICAL PHARMACOLOGY & TOXICOLOGY, 2018, 123 : 91 - 92
  • [3] Mehar approach to solve hesitant fuzzy linear programming problems
    Raina Ahuja
    Amit Kumar
    [J]. The Journal of Analysis, 2024, 32 : 335 - 371
  • [4] Mehar approach to solve hesitant fuzzy linear programming problems
    Ahuja, Raina
    Kumar, Amit
    [J]. JOURNAL OF ANALYSIS, 2024, 32 (01): : 335 - 371
  • [5] SOME NEW COMPUTATIONAL METHODS TO SOLVE DUAL FULLY FUZZY LINEAR SYSTEM OF ARBITRARY TRIANGULAR FUZZY NUMBERS
    Kumar, Amit
    Babbar, Neetu
    Bansal, Abhinav
    [J]. NEW MATHEMATICS AND NATURAL COMPUTATION, 2013, 9 (01) : 13 - 26
  • [6] Fully hesitant fuzzy linear programming with hesitant fuzzy numbers
    Ranjbar, M.
    Effati, S.
    Miri, S. M.
    [J]. ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2022, 114
  • [7] FUZZY LINEAR-PROGRAMMING PROBLEMS WITH FUZZY NUMBERS
    TANAKA, H
    ASAI, K
    [J]. FUZZY SETS AND SYSTEMS, 1984, 13 (01) : 1 - 10
  • [8] Solving fully fuzzy linear system with arbitrary triangular fuzzy numbers
    Babbar, Neetu
    Kumar, Amit
    Bansal, Abhinav
    [J]. SOFT COMPUTING, 2013, 17 (04) : 691 - 702
  • [9] Fully fuzzy linear systems of triangular fuzzy numbers (a, b, c)
    Kumar, Amit
    Bansal, Abhinav
    Babbar, Neetu
    [J]. INTERNATIONAL JOURNAL OF INTELLIGENT COMPUTING AND CYBERNETICS, 2013, 6 (01) : 21 - 44
  • [10] Finding fuzzy optimal and approximate fuzzy optimal solution of fully fuzzy linear programming problems with trapezoidal fuzzy numbers
    Ozkok, Beyza Ahlatcioglu
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 36 (02) : 1389 - 1400
12345