Modified Approach for Optimization of Real-Life Transportation Problem in Neutrosophic Environment: Suggested Modifications

Mai Mohamed¹

              ¹ Department of Operations Research, Faculty of Computers and Informatics, Zagazig University, Sharqiyah, Egypt

Email:  mmgaafar@zu.edu.eg

Abstract  

Singh et al. [1] presented a modified approach for solving transportation problems in neutrosophic environments. They stated that their modified approach for solving transportation problem had addressed the mathematical problems found in Thamaraiselvi and Santhi [2] approaches. But they also stopped to handle the existing problems in Thamaraiselvi and Santhi’s approach. After a deep study of Singh et al.’s method, it is observed that Singh et al. have considered several mathematical incorrect assumptions in their proposed method, and hence it is scientifically incorrect to use Singh et al.’s method and Thamaraiselvi and Santhi’s method in their present forms. This research aims to make the researchers aware of the mathematical incorrect assumptions, considered by Singh et al. in their proposed method as well as to suggest the required modifications in Singh et al.’s method and Thamaraiselvi and Santhi’s method.

Keywords: Transportation problem; neutrosophic set; trapezoidal neutrosophic number.