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Theory and Applications of the Software-Based PSK Method for Solving Intuitionistic Fuzzy Solid Assignment Problems
Abstract
The real-life optimization problem, namely, the intuitionistic fuzzy solid assignment problem (IFSAP), is solved using the PSK (P. Senthil Kumar) method here. The mathematical model of IFSAP and its classifications are presented. Some standard results are provided. To find the optimal assignment of IFSAPs, many supporting theorems and corollaries are proved with the PSK method. Numerical examples and graphical illustrations are provided to illustrate the proposed model and theorems and the effectiveness of the method. The programming packages, namely, Matlab and Lingo, are used with the PSK method to solve the IFSAPs and to find out the optimum assignment and objective value. Additionally, the fruitfulness of the proposed method is illustrated through 3 numerical examples, and the results are compared with other methods and different software. Finally, the limitations of the proposed method and recommendations for the scope of future work are presented. It is useful for researchers, the public, and especially, governments to govern operations because it deals with real-life problems.
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