A Fuzzy Probabilistic Method for Medical Diagnosis

Abstract

The max-min composition in fuzzy set theory has attained reasonable success in medical diagnosis in the past thirty years for estimating the probability of a patient diagnosed with a certain disease. However, there has been no theoretical justification why the method would work. We create a theoretical model to calculate the probabilities of hypothetical patients having designated diseases, and use simulated dataset to explain why the max-min composition has been successful. In addition, based on the theoretical model, we propose a fuzzy probabilistic method to estimate the probability of a patient having a certain disease. The proposed method may produce a more accurate estimate than the max-min composition.

How to Define Pathogenicity, Health, and Disease?

“…] aim at taking into account uncertainties often by applying fuzzy logic where truth values of variables vary [Watari et al. ; Mak, ; Miranda and Felipe, ]. Fuzzy sets and logic are largely dependent on the initial setup.…”

“…The existing severity/morbidity/mortality scoring schemes including, for example [Vincent et al 1996;Flacker and Kiely, 2003;Solal-Celigny et al 2004;Porock et al 2010;Hamada et al 2013] aim at taking into account uncertainties often by applying fuzzy logic where truth values of variables vary [Watari et al 2014;Mak, 2015;Miranda and Felipe, 2015]. Fuzzy sets and logic are largely dependent on the initial setup.…”

Multiple Criteria Group Decision-Making Considering Symmetry with Regards to the Positive and Negative Ideal Solutions via the Pythagorean Normal Cloud Model for Application to Economic Decisions

“…Accordingly, expressing and handling cognitive information has been a focal topic related to the decision-making literature. What is more, it has been established that the use of exact ratings (e.g., exact numerical values) might not allow defining the preferences of the decision-makers to a substantial degree [3][4][5], which might reduce the effectiveness of the decision-making in general [6]. What is more, a decision-maker can fathom the limitations of his/her competences or possibilities to provide ratings in regards to certain alternatives and criteria in general.…”

Medical Diagnosis Based on Single-Valued Neutrosophic Probabilistic Rough Multisets over Two Universes

“…In order to seek the accurate diagnosis for the considered patients, it is essential for medical experts to take into account a number of related symptoms simultaneously, and this procedure might take a long time to reach a final diagnostic outcome. Considering it is meaningful to cope with the above complex decision making situation within the background of medical diagnosis, plenty of practitioners are likely to focus on the relationship between the diagnosis set and the symptom set, and varieties of achievements have been made on the basis of fuzzy approaches [1][2][3]. According to the FS theory established by Zadeh [4], fuzzy approaches have been extensively used in lots of medical diagnosis situations.…”