Paper Info
Title
Neutrosophic multi-objective green four-dimensional fixed-charge transportation problem
Abstract
The main inquisition of this paper is to introduce two methods for solving a multi-objective green 4-dimensional fixed-charge transportation problem (MG4FTP) under neutrosophic environment. The increasing use of transportation vehicles, the condition of roads, vehicle type in daily life to meet our needs that create a lot of problems such as global warming, greenhouse gas (GHG) emissions in the nature. In this paper, we minimize transportation cost, carbon emission and transportation time. In real-life situation, all parameters of transportation problem are not tackled by crisp value, fuzzy numbers and intuitionistic fuzzy numbers, then to accommodate the fact we choice here single valued trapezoidal neutrosophic number (SVTNN) for designing such type of transportation problem. Thereafter we use $$\left( \alpha , \beta , \gamma \right) $$ -cut of SVTNN to convert the parameters in interval form of the proposed model. Two new approaches based on neutrosophic programming (NP) and Pythagorean hesitant fuzzy programming (PHFP) are used to extract a better compromise solution of the proposed problem. A comparison is drawn among the compromise solutions that are derived from the programming, by using the score function of SVTNN. Two numerical examples are included to illustrate the applicability and validity of the proposed problem.
Year
DOI
Venue
2022
10.1007/s13042-022-01582-y
International Journal of Machine Learning and Cybernetics
Keywords
DocType
Volume
4-Dimensional fixed-charge transportation problem, Multi-objective decision making, Carbon emission, Single valued trapezoidal neutrosophic number, Score function, Neutrosophic programming and Pythagorean hesitant fuzzy programming
Journal
13
Issue
ISSN
Citations 
10
1868-8071
0
PageRank 
References 
Authors
0.34
19
2
Name
Order
Citations
PageRank
Binoy Krishna Giri100.34
Sankar Kumar Roy201.01