A new score function based Fermatean fuzzy transportation problem

Today the supply, the demand and transportation costs in a transportation problem (TP) cannot be measured precisely due to the inconstant economic and environment conditions. The aim of this paper is to solve transportation problem where supply, demand and transportation costs are Fermatean fuzzy nu...

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Bibliographic Details
Published in:Results in control and optimization Vol. 4; p. 100040
Main Author: Sahoo, Laxminarayan
Format: Journal Article
Language:English
Published: Elsevier B.V 01.09.2021
Elsevier
Subjects:
Accuracy function
Excel solver
Fermatean fuzzy numbers
Pythagorean fuzzy numbers
Score function
Transportation problem
Pythagorean fuzzy numbers
Accuracy function
Excel solver
Transportation problem
Fermatean fuzzy numbers
Score function
ISSN:2666-7207, 2666-7207
Online Access:Get full text
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Summary:Today the supply, the demand and transportation costs in a transportation problem (TP) cannot be measured precisely due to the inconstant economic and environment conditions. The aim of this paper is to solve transportation problem where supply, demand and transportation costs are Fermatean fuzzy numbers (FFNs). In the existing literature, several methods have been proposed for solving transportation problems with fuzzy parameters (FPs) but in all the proposed methods the parameters relating to the transportation problems are either generalized fuzzy numbers or Pythagorean fuzzy numbers (PFNs). The concept of Fermatean fuzzy sets (FFSs) are very new and using Fermatean fuzzy sets one can handle uncertain information more easily in the process of decision making. Therefore, in this paper, first time we have solved transportation problem with Fermatean fuzzy parameters. For solving the transportation problem with Fermatean fuzzy parameters, we have proposed an algorithm and solved the same by existing method. Then using arithmetic operations of Fermatean fuzzy number the optimal value can be obtained. To illustrate the proposed method we have solved a numerical example and computed results are presented and compared with the existing literature. Finally, the significance of the paper and the scope of future study are mentioned. •This paper deals with transportation problem in Fermatean fuzzy environment.•The said problem is formulated as a LPP and solved by excel solver.•An algorithm and new score functions are proposed to solve the problem.
ISSN:2666-7207
2666-7207
DOI:10.1016/j.rico.2021.100040