Applications of discrete mathematics in developing intelligent AI systems

Selvan, Chithirai Pon; Gulhane, Vijay S.; Gangarde, Rupali; Saoji, Saurabh; Tukhtaeva, Nazokat; Bhagat, Hrishikesh Meghanath

doi:10.47974/JDMSC-2547

Open Access Research Article

Applications of discrete mathematics in developing intelligent AI systems

Chithirai Pon Selvanpon.selvan@curtindubai.ac.aeSchool of Science and EngineeringCurtin University DubaiDubai, 345031, United Arab EmiratesView full profile → , Vijay S. Gulhanevsgulhane@sipnaengg.ac.inDepartment of Information TechnologySipna College of Engineering & TechnologyAmravati, Maharashtra, 444701, IndiaView full profile → , ^*Rupali GangardeCorresponding authorrupali.gangarde@sitpune.edu.inDepartment of Computer Science & EngineeringSymbiosis Institute of TechnologyPune, Maharashtra, 412115, IndiaView full profile → , Saurabh Saojisaurabh.saoji22@gmail.comDepartment of Computer EngineeringNutan Maharastra Institute of Engineering and TechnologyPune, Maharashtra, 410507, IndiaView full profile → , Nazokat Tukhtaevanazokat_tuxtayeva@tues.uzDepartment of Information Technology and Exact SciencesTermez University of Economics and ServiceTermez, 190100, UzbekistanView full profile → , Hrishikesh Meghanath Bhagathrishikesh.bhagat@bharatividyapeeth.eduDepartment of ManagementBharati Vidyapeeth (Deemed to be University)Institute of Management and Entrepreneurship DevelopmentPune, Maharashtra, 411038, India0009-0002-7805-8352View full profile →

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pp. 961–970Vol. 29Issue 2-BFebruary 2026DOI: 10.47974/JDMSC-2547 Crossmark XML

Received:: 07 May 2025
Published Online:: 16 Feb 2026
Article type:: Research Article
Language:: EN
Article no.:: JDMSC-2547
Pages:: 961–970

Abstract

Many clever AI systems are built on discrete mathematics, which allows for exact modelling, reasoning, and optimisation. This essay looks at some important discrete mathematical ideas, like logic, algebraic structures, and graph theory, and shows how important they are in designing and implementing AI algorithms. Graph-based models make it easier to describe and draw conclusions from information, and algebraic structures are the building blocks of machine learning computing systems. Logic-based inference engines also improve automatic thinking skills that are needed for smart decision-making. The study also talks about how discrete structures have helped build neural networks and machine learning methods, which have made AI better at solving problems.

Keywords

Discrete mathematics Graph theory Algebraic structures Logic inference Machine learning

Subject Classifications

31A1033E30

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