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MATHEMATICAL MODELS OF HUMAN ATTENTION AND MEMORY PROCESSES

Bobojonov Mahkam Davranovich ,Rajabboyev Asror Alisherovich , Urgench State University named after Abu Rayhon Beruni

Abstract

This article provides an overview of mathematical models used to study human attention and memory processes. Attention processes are analyzed through Signal Detection Theory (SDT) and resource allocation models, while memory processes are examined using Markov models and exponential forgetting curve models. The article discusses the mathematical foundations of these models, their importance in psychological research, and practical applications. It also explores integration opportunities in education, clinical psychology, and artificial intelligence. The article highlights the interdisciplinary connection between psychology and mathematics.

Keywords

attention, memory, mathematical models, signal detection theory, resource allocation, Markov models, forgetting curve, cognitive psychology.

References

Green, D. M., & Swets, J. A. (1966). Signal Detection Theory and Psychophysics. New York: Wiley.

Kahneman, D. (1973). Attention and Effort. Englewood Cliffs, NJ: Prentice-Hall.

Atkinson, R. C., & Shiffrin, R. M. (1968). Human Memory: A Proposed System and its Control Processes. In K. W. Spence & J. T. Spence (Eds.), The Psychology of Learning and Motivation (Vol. 2). New York: Academic Press.

Ebbinghaus, H. (1885). Memory: A Contribution to Experimental Psychology. New York: Dover Publications.

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MATHEMATICAL MODELS OF HUMAN ATTENTION AND MEMORY PROCESSES. (2025). International Journal of Artificial Intelligence, 5(05), 413-415. https://www.academicpublishers.org/journals/index.php/ijai/article/view/4369