A method to solve Pythagorean fuzzy transportation problems

被引：1
|
作者：
Bhatia, Tanveen Kaur [1 ]
Kumar, Amit [1 ]
Appadoo, S. S. [2 ]
Sharma, M. K. [1 ]
机构：
[1] Thapar Inst Engn & Technol, Sch Math, Patiala 147004, Punjab, India
[2] Univ Manitoba, Asper Sch Business, Dept Supply Chain Management, Winnipeg, MB, Canada
来源：
INTERNATIONAL JOURNAL OF SYSTEM ASSURANCE ENGINEERING AND MANAGEMENT | 2023年 / 14卷 / 05期
关键词：
Pythagorean fuzzy numbers; Pythagorean fuzzy transportation problem (PyFTP); Crisp transportation problem (CTP); Non-linear programming problem;
D O I：
10.1007/s13198-023-02010-2
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Nagar et al. (Int J Syst Assur Eng Manag (2021). https://doi.org/10.1007/s13198-021-01339-w) proposed a method to solve Pythagorean fuzzy transportation problems (transportation problems in which the unit transportation cost for supplying the product from a source to a destination is represented by a Pythagorean fuzzy number. Whereas, all other parameters are represented by a non-negative real number). Nagar et al. also claimed that their proposed method is more efficient as compared to the existing methods (Complex Intell Syst (2019) 5: 255-263, Adalya J (2020) 9(1): 1301-1308). In this paper, it is pointed out that in all these existing methods, some mathematical incorrect assumptions are considered. Therefore, it is inappropriate to use these existing methods to solve Pythagorean fuzzy transportation problems. To resolve the inappropriateness of these existing methods, a new method (named as Mehar method) is proposed to solve Pythagorean fuzzy transportation problems.
引用
收藏
页码：1847 / 1854
页数：8
相关论文
共 50 条
  • [1] A method to solve Pythagorean fuzzy transportation problems
    Tanveen Kaur Bhatia
    Amit Kumar
    S. S. Appadoo
    M. K. Sharma
    [J]. International Journal of System Assurance Engineering and Management, 2023, 14 : 1847 - 1854
  • [2] Fuzzy Hungarian MODI Algorithm to Solve Fully Fuzzy Transportation Problems
    S. Dhanasekar
    S. Hariharan
    P. Sekar
    [J]. International Journal of Fuzzy Systems, 2017, 19 : 1479 - 1491
  • [3] Fuzzy Hungarian MODI Algorithm to Solve Fully Fuzzy Transportation Problems
    Dhanasekar, S.
    Hariharan, S.
    Sekar, P.
    [J]. INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2017, 19 (05) : 1479 - 1491
  • [4] A New Method to Solve Interval Transportation Problems
    Habiba, Ummey
    Quddoos, Abdul
    [J]. PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2020, 16 (04) : 802 - 811
  • [5] A new technique to solve transportation problems using de-pythagorean value in generalized interval valued pythagorean environment
    Chakraborty, Avishek
    Salahshour, Soheil
    Allahviranloo, Tofigh
    [J]. International Journal of Fuzzy System Applications, 2021, 10 (04) : 57 - 78
  • [6] An algorithmic approach to solve unbalanced triangular fuzzy transportation problems
    S. Muthuperumal
    P. Titus
    M. Venkatachalapathy
    [J]. Soft Computing, 2020, 24 : 18689 - 18698
  • [7] Mehar approach to solve fuzzy linear fractional transportation problems
    Tanveen Kaur Bhatia
    Amit Kumar
    Mahesh Kumar Sharma
    [J]. Soft Computing, 2022, 26 : 11525 - 11551
  • [8] Mehar approach to solve fuzzy linear fractional transportation problems
    Bhatia, Tanveen Kaur
    Kumar, Amit
    Sharma, Mahesh Kumar
    [J]. SOFT COMPUTING, 2022, 26 (21) : 11525 - 11551
  • [9] An algorithmic approach to solve unbalanced triangular fuzzy transportation problems
    Muthuperumal, S.
    Titus, P.
    Venkatachalapathy, M.
    [J]. SOFT COMPUTING, 2020, 24 (24) : 18689 - 18698
  • [10] A note on "Fuzzy Hungarian MODI algorithm to solve fully fuzzy transportation problems"
    Mishra, Akansha
    Kumar, Amit
    Khan, Meraj Ali
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2018, 35 (01) : 659 - 662
12345