M-polar neutrosophic soft mapping with application to multiple personality disorder and its associated mental disorders

Abstract

Multiple personality disorder (MPD) or dissociative identity disorder is the mental disease in which one can observe the existence of two or more than two personalities in a single person. We define the controversies nearby the diagnosis of MPD with its associated mental disorders. We discuss the various symptoms of MPD, dissociative amnesia, depersonalization or derealization disorder, and major depression disorder. After this exploration, we perceive that these disorders enclose parallel symptoms and it is difficult to identify the accurate type of disorder with its severeness. Since in experimental diagnosis the indeterminacy and falsity parts are often neglected. Due to this problem, we cannot see the accuracy in the patient’s improvement record and cannot predict the duration of treatment. To eradicate these boundaries, we present the m-polar neutrosophic soft set (MPNSS) and m-polar neutrosophic soft mapping (MPNS-mapping) with its inverse mapping. These notions are proficient and valuable to diagnose the disorder appropriately by connecting it with the mathematical modeling. The connection of m-polar neutrosophic set (MPNS) with the soft set characterizes a relation among patients, symptoms, and treatments which decreases the complexity of the case study. We build a chart based on a fuzzy interval [0, 1] to range the types of disorders. We establish an algorithm based on MPNS-mapping to identify the disease appropriately and to select the finest treatment for the corresponding disease of every patient. At last, we introduce the generalized MPNS-mapping which will helps a doctor to save the patient’s improvement record and to predict the period of treatment until the disease is cured.