Mehar approach for solving dual-hesitant fuzzy transportation problem with restrictions

被引：7
作者：
Kumar, Amit [1 ]
Appadoo, S. S. [2 ]
Kaur, Parmpreet [3 ]
机构：
[1] Thapar Inst Engn & Technol, Sch Math, Patiala, Punjab, India
[2] Univ Manitoba, Dept Supply Chain Management, Winnipeg, MB R3T 5V4, Canada
[3] GSSDGS Khalsa Coll, PG Dept Math, Patiala 147001, Punjab, India
来源：
SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES | 2020年 / 45卷 / 01期
关键词：
Dual-hesitant fuzzy set; transportation problems; score function;
D O I：
10.1007/s12046-020-01325-1
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Recently, a new type of transportation problems (named as dual-hesitant fuzzy transportation problem) as well as an approach to find the optimal solution of dual-hesitant fuzzy transportation problems have been proposed in the literature. In this paper, some dual-hesitant fuzzy transportation problems are considered to show that the existing approach is inappropriate as (i) The existing approach fails to find the optimal solution of dual-hesitant fuzzy transportation problems. (ii) On applying the existing approach different optimal transportation costs are obtained corresponding to alternative optimal solutions. Also, to resolve the inappropriateness of the existing approach, a new expression (named as Mehar score function) is proposed to transform a dual-hesitant fuzzy set into a real number. Furthermore, a new approach (named as Mehar approach), based upon the proposed Mehar score function, is proposed to find the optimal solution of dual-hesitant fuzzy transportation problems.
引用
收藏
页数：9
相关论文
共 17 条
  • [1] A Historical Account of Types of Fuzzy Sets and Their Relationships
    Bustince, Humberto
    Barrenechea, Edurne
    Pagola, Miguel
    Fernandez, Javier
    Xu, Zeshui
    Bedregal, Benjamin
    Montero, Javier
    Hagras, Hani
    Herrera, Francisco
    De Baets, Bernard
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2016, 24 (01) : 179 - 194
  • [2] A new approach for solving fully intuitionistic fuzzy transportation problems
    Ebrahimnejad, Ali
    Luis Verdegay, Jose
    [J]. FUZZY OPTIMIZATION AND DECISION MAKING, 2018, 17 (04) : 447 - 474
  • [3] New method for solving Fuzzy transportation problems with LR flat fuzzy numbers
    Ebrahimnejad, Ali
    [J]. INFORMATION SCIENCES, 2016, 357 : 108 - 124
  • [4] Fuzzy linear programming approach for solving transportation problems with interval-valued trapezoidal fuzzy numbers
    Ebrahimnejad, Ali
    [J]. SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, 2016, 41 (03): : 299 - 316
  • [5] A simplified new approach for solving fuzzy transportation problems with generalized trapezoidal fuzzy numbers
    Ebrahimnejad, Ali
    [J]. APPLIED SOFT COMPUTING, 2014, 19 : 171 - 176
  • [6] A new method for solving linear multi-objective transportation problems with fuzzy parameters
    Gupta, Anila
    Kumar, Amit
    [J]. APPLIED MATHEMATICAL MODELLING, 2012, 36 (04) : 1421 - 1430
  • [7] A new approach for solving fuzzy transportation problems using generalized trapezoidal fuzzy numbers
    Kaur, Amarpreet
    Kumar, Amit
    [J]. APPLIED SOFT COMPUTING, 2012, 12 (03) : 1201 - 1213
  • [8] A new method for solving fuzzy transportation problems using ranking function
    Kaur, Amarpreet
    Kumar, Amit
    [J]. APPLIED MATHEMATICAL MODELLING, 2011, 35 (12) : 5652 - 5661
  • [9] Methods for solving unbalanced fuzzy transportation problems
    Kumar, Amit
    Kaur, Amarpreet
    [J]. OPERATIONAL RESEARCH, 2012, 12 (03) : 287 - 316
  • [10] Computationally simple approach for solving fully intuitionistic fuzzy real life transportation problems
    Senthil Kumar P.
    Jahir Hussain R.
    [J]. International Journal of System Assurance Engineering and Management, 2016, 7 (Suppl 1) : 90 - 101
12