Graded Logic (GL) is a propositional logic of human commonsense reasoning and decision making. GL is fully continuum-valued, i.e., everything is a matter of degree. It is based on continuum-valued logic variables (graded truth), continuum-valued simultaneity (graded conjunction), continuum-valued substitutability (graded disjunction), and continuum-valued importance of logic variables. The graded conjunction and the graded disjunction are dualized, complementary, and unified in a single continuum-valued, andness-directed, importance-weighted, idempotence-selectable, and annihilator-selectable fundamental logic function called Graded Conjunction/Disjunction (GCD). Graded Logic is the mathematical infrastructure of the Logic Scoring of Preference (LSP) decision method which has applicability in solving a variety of complex evaluations and decision problems Our goal is to present the following typical applications in healthcare:
- Machine learning methods for development of the LSP medical diagnostic models
- Explainability of graded logic models for disease diagnosis (explainability of diagnostic models and explainability of diagnostic results)
- Evaluation of disease severity, patient disability, and effects of a therapy
- Vaccination priority evaluation (COVID-19)
- Organ transplantation priority evaluation (liver transplantations)
- Optimum timing of risky therapy
- Evaluation and selection of medical equipment and medical software tools
- Suitability maps for optimum location of medical services
Jozo Dujmović
Jozo Dujmović received the Dipl. Ing. degree in electronic and telecommunication engineering, and the M.Sc. and Sc.D. degrees in computer engineering, all from the University of Belgrade, Serbia. Since 1994 he has been Professor of Computer Science at San Francisco State University, where he served as Chair of Computer Science Department from 1998 to 2002. Before his current position with San Francisco State University, he was the Professor of computer science with the University of Belgrade; the University of Florida, Gainesville, FL, USA; the University of Texas, Dallas, TX, USA; and Worcester Polytechnic Institute, Worcester, MA, USA. With the University of Belgrade School of Electrical Engineering, where he taught 24 years, he also served as the Chairman of the Computer Science Department and founding Director of the Belgrade University Computing Center. His primary research interest is in logic foundations of soft computing and in decision support systems. He is the author of more than 200 refereed publications, a Life Senior Member of IEEE, and the recipient of NAFIPS, CMG, Informatica, and ETAN best paper awards. His book Soft Computing Evaluation Logic was published by Wiley and IEEE Press in 2018, and his newest book Graded Logic was published by Springer in 2025. His industrial experience includes R&D work in the Institute “M. Pupin” in Belgrade, and consulting in the areas of soft computing decision methods, computer performance evaluation, and software design. In 1997, he founded System Evaluation & Selection (SEAS), a San Francisco-based company specializing in soft computing decision methods and their software support. He currently serves as a Principal with SEAS.