Intelligent Medical Diagnosis Based on Fuzzy Neutrosophic Turiyam Matrices

Abstract

The process of diagnosing diseases contains numerous uncertainties, approximations, and incompleteness in the light of overlapping symptoms, varying clinical observations, and the personal opinion of specialized experts. The present mathematical models, as well as the fuzzy approaches, are not accurate enough to present the complete uncertainties for the process of diagnosing diseases. To address the above-presented difficulty, a novel mathematical model, termed the Fuzzy Neutrosophic Turiyam Matrices (FNTM), based on the Turiyam conception, has been developed within the current paper. The developed mathematical model improves the present mathematical conception of the mathematical model of Fuzzy Neutrosophic Matrix with the Turiyam conception included. The Turiyam conception investigates the hidden uncertainties of the fourth dimension rather than the truths, the indeterminations, and the falsity described in the other three-dimensional conception models. The association of the diseases with the symptoms has been presented within the mathematical formulation based on the conception of the mathematical matrix, the elements of the matrices of which have been defined with the four independent values. The present mathematical paper has utilized the necessary mathematical operations of the matrices in order to perform effective mathematical deductions. It has been demonstrated in the present mathematical paper that the methodology of generating the diagnosis introduced within the developed mathematical conception of the FNTM offers a generalized and powerful mathematical deduction process in comparison with the rest mathematical models.