Fermatean Fuzzy Programming with New Score Function: A New Methodology to Multi-Objective Transportation Problems

Author:

Sharma M. K.ORCID,Kamini ORCID,Dhaka ArvindORCID,Nandal Amita,Rosales Hamurabi GamboaORCID,Monteagudo Francisco Eneldo López,Hernández Alejandra García,Hoang Vinh TruongORCID

Abstract

The aim of this work is to establish a new methodology to tackle the multi-objective transportation problems [MOTP] in a Fermatean fuzzy environment that can deal with all the parameters that possess a conflicting nature. In our research work, we developed a new score function in the context of a fermatean nature for converting fuzzy data into crisp data with the help of the Fermatean fuzzy technique. Then, we introduced an algorithm-based methodology, i.e., the Fermatean Fuzzy Programming approach to tackle transportation problems with multi-objectives. The main purpose of this research work is to give an alternate fuzzy programming approach to handle the MOTP. To justify the potential and validity of our work, numerical computations have been carried out using our proposed methodology.

Funder

Universidad Autonoma de Zacatecas, Mexico and CONACyT, Mexico

Publisher

MDPI AG

Subject

Electrical and Electronic Engineering,Computer Networks and Communications,Hardware and Architecture,Signal Processing,Control and Systems Engineering

Reference28 articles.

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