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AI-Driven Decision Support System for Intuitionistic Fuzzy Assignment Problems
Abstract
The assignment problem (AP) is a well-known optimization problem that deals with the allocation of 'n' jobs to 'n' machines on a 1-to-1 basis. It minimizes the cost/time or maximizes the profit/production of the problem. Generally, the profit, sale, cost, and time are all called the parameters of the AP (in a traditional AP, out of these parameters, exactly one parameter will be considered a parameter of the problem). These are not at all crisp numbers due to several uncontrollable factors, which are in the form of uncertainty and hesitation. So, to solve the AP in this environment, the author proposes the software and ranking method-based PSK (P. Senthil Kumar) method. Here, plenty of theorems related to intuitionistic fuzzy assignment problems (IFAPs) are proposed and proved by the PSK. To show the superiority of his method, he presents 4 IFAPs. The computer programs for the proposed problems are presented precisely, and the results are verified with Matlab, RGui, etc. In addition, comparative results, discussion, merits and demerits of his method, and future studies are given.
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