TY - JOUR
ID - 152022
TI - A compromise solution for the neutrosophic multi-objective linear programming problem and its application in transportation problem
JO - Journal of Applied Research on Industrial Engineering
JA - JARIE
LA - en
SN - 2538-5100
AU - Hosseinzadeh, Elham
AU - Tayyebi, Javad
AD - Department of mathematics, Kosar University of Bojnord, Bojnord, Iran
AD - Department of Industrial Engineering, Birjand University of Technology, Birjand, Iran
Y1 - 2022
PY - 2022
VL -
IS -
SP -
EP -
KW - Multiobjective programming problem
KW - neutrosophic set
KW - single-valued trapezoidal neutrosophic number
KW - indeterminacy membership functions
DO - 10.22105/jarie.2022.328580.1451
N2 - Neutrosophic set theory plays an important role in dealing with the impreciseness and inconsistency in data encountered in solving real-life problems. The current paper focuses on the neutrosophic fuzzy multiobjective linear programming problem (NFMOLPP), where the coefficients of the objective functions, constraints, and right-hand side parameters are single-valued trapezoidal neutrosophic numbers (NNs). From the viewpoint of complexity of the problem, a ranking function of NNs is proposed to convert the problem into equivalent MOLPPs with crisp parameters. Then suitable membership functions for each objective are formulated using their lowest and highest value. With the aim of linear programming techniques, a compromise optimal solution of NFMOLPP is obtained. The main advantage of the proposed approach is that it obtains a compromise solution by optimizing truth-membership, indeterminacy-membership, and falsity-membership functions, simultaneously. Finally, a transportation problem is introduced as an application to illustrate the utility and practicality of the approach.
UR - http://www.journal-aprie.com/article_152022.html
L1 - http://www.journal-aprie.com/article_152022_c59c44f33909ddc088c8a93d51df84e3.pdf
ER -