Recognition principle for course allocations in higher institutions based on intuitionistic fuzzy correlation coefficient

To effectively evaluate relationships in uncertain environments, such as in decision-making, the idea of Intuitionistic Fuzzy Correlation Coefficient (IFCC) is employed. Several authors have provided many methods of IFCC, but their methods have some setbacks in correctness and accuracy. In this article, some novel methods of IFCC are developed that possess better exactness and reliability compared to the existing IFCC techniques. The new IFCC techniques possess high reliability and precision based on their mathematical formulations and the inclusion of all intuitionistic fuzzy parameters. The setbacks of the existing IFCC techniques are enumerated and verified with some numerical examples. Several of their properties are discussed in order to authenticate the novel IFCC techniques. More so, utilizing the new IFCC schemes in the issue of course allocations in higher institutions is discussed. Finally, the preeminence of the novel IFCC techniques is discussed in terms of precision and consistency with correlation principles by juxtaposing their effectiveness with other IFCC methods.