A Pythagorean fuzzy approach to the transportation problem

被引:63
|
作者
Kumar, R. [1 ]
Edalatpanah, S. A. [2 ]
Jha, S. [1 ]
Singh, R. [1 ]
机构
[1] Natl Inst Technol, Dept Math, Jamshedpur, Bihar, India
[2] Ayandegan Inst Higher Educ, Dept Ind Engn, Tonekabon, Iran
关键词
Pythagorean fuzzy numbers; Transportation problem; Fuzzy numbers; Score function; DECISION-MAKING; INFORMATION; OPERATORS; EXTENSION; TOPSIS; AHP;
D O I
10.1007/s40747-019-0108-1
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper introduces a simplified presentation of a new computing procedure for solving the fuzzy Pythagorean transportation problem. To design the algorithm, we have described the Pythagorean fuzzy arithmetic and numerical conditions in three different models in Pythagorean fuzzy environment. To achieve our aim, we have first extended the initial basic feasible solution. Then an existing optimality method is used to obtain the cost of transportation. To justify the proposed method, few numerical experiments are given to show the effectiveness of the new model. Finally, some conclusion and future work are discussed.
引用
收藏
页码:255 / 263
页数:9
相关论文
共 50 条
  • [21] An improved approach for solving fuzzy transportation problem with triangular fuzzy numbers
    Ebrahimnejad, Ali
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2015, 29 (02) : 963 - 974
  • [22] A Pioneer Optimization Approach for Hexagonal Fuzzy Transportation Problem
    Mathur, Nirbhay
    Srivastava, Pankaj Kumar
    EMERGING TRENDS IN MATHEMATICAL SCIENCES AND ITS APPLICATIONS, 2019, 2061
  • [23] Fuzzy arithmetic DEA approach for fuzzy multi-objective transportation problem
    Bagheri, M.
    Ebrahimnejad, A.
    Razavyan, S.
    Lotfi, F. Hosseinzadeh
    Malekmohammadi, N.
    OPERATIONAL RESEARCH, 2022, 22 (02) : 1479 - 1509
  • [24] Fuzzy stochastic solid transportation problem using fuzzy goal programming approach
    Giri, Pravash Kumar
    Maiti, Manas Kumar
    Maiti, Manoranjan
    COMPUTERS & INDUSTRIAL ENGINEERING, 2014, 72 : 160 - 168
  • [25] A NEW APPROACH FOR SOLVING FUZZY TRANSPORTATION PROBLEM WITH LR FLAT FUZZY NUMBERS
    Geetha, S. Sathya
    Selvakumari, K.
    ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2021, 21 (02): : 749 - 754
  • [26] Fuzzy arithmetic DEA approach for fuzzy multi-objective transportation problem
    M. Bagheri
    A. Ebrahimnejad
    S. Razavyan
    F. Hosseinzadeh Lotfi
    N. Malekmohammadi
    Operational Research, 2022, 22 : 1479 - 1509
  • [27] An Innovative Approach to Find the Initial Solution of a Fuzzy Transportation Problem
    Kumar, R. Ravi
    Gupta, Radha
    Karthiyayini, O.
    Vatsala, G. A.
    RECENT TRENDS IN PURE AND APPLIED MATHEMATICS, 2019, 2177
  • [28] An approach to optimize the cost of transportation problem based on triangular fuzzy programming problem
    Das, Sapan Kumar
    COMPLEX & INTELLIGENT SYSTEMS, 2022, 8 (01) : 687 - 699
  • [29] Fuzzy multi objective transportation problem - evolutionary algorithm approach
    Karthy, T.
    Ganesan, K.
    PROCEEDINGS OF THE 10TH NATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND ITS APPLICATIONS (NCMTA 18), 2018, 1000
  • [30] Goal programming approach to fully fuzzy fractional transportation problem
    Anukokila, P.
    Radhakrishnan, B.
    JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2019, 13 (01): : 864 - 874