Solution of Transportation Problem Under Spherical Fuzzy Set

Abstract

Transportation problem (TP) is used to solve real-life problems as agriculture, management and engineering science etc. But in real-life transportation problems, the cost depends on uncontrollable factors like fuel price, weather conditions and consumers behaviour etc. To deal with this type of imprecision, fuzzy numbers and their extension have been introduced by the authors. In literature, many methods are available for finding the solution of TP under fuzzy set (FS), intuitionistic fuzzy set (IFS) and Pythagorean fuzzy set (Pyfs) etc. In the proposed work, we have investigated the solution of the spherical fuzzy transportation problem (SFTP) and presented three different models of the spherical fuzzy transportation problem. Spherical fuzzy set (SFS) arithmetic operations and algorithms are discussed here. To illustrate the proposed work we have taken the numerical problem for these sets. Finally, we have discussed the result and conclusion of the paper.