University of Sistan and Baluchestan Iranian Journal of Fuzzy Systems 1735-0654 23 4 2026 08 01 Passivity and dissipativity criteria of discrete-time fractional-order fuzzy genetic regulatory networks 35 54 9974 10.22111/ijfs.2026.53695.9507 EN Iheb Abdelmajid Albouchi Departement of Mathematics, Fculty of Sciences of Bizerte, University of Carthage, Bizerte, Tunisia. Chaouki AOUITI University of Carthage, Faculty of Sciences of Bizerte, Department of Mathematics, GAMA Laboratory LR21ES10, BP W, 7021 Zarzouna, Bizerte, Tunisia Farid Touati Departement of Mathematics, Faculty of Sciences of Bizerte, University of Carthage, Bizerte, Tunisia. Journal Article 2025 10 31 Genetic Regulatory Networks (GRNs) constitute a key framework for understanding the development and evolutionary dynamics of biological systems. With the rapid progress of DNA microarray technologies, large-scale genome-wide analysis of GRNs has become feasible. In this work, we are investigated the passivity and dissipativity of Fractional-Order Discrete-Time Fuzzy Genetic Regulatory Networks (FODTFGRNs). Embedding fractional-order operators in the discrete-time formulation allows the model to capture memory-dependent and hereditary features of gene regulatory dynamics. Meanwhile, fuzzy logic techniques are introduced to handle parameter ambiguities and nonlinear gene interactions. This integrated modeling strategy leads to a more accurate and practical representation of genetic regulation phenomena encountered in real biological and medical applications. Moreover, a novel passivity lemma tailored to the considered systems is developed through the construction of a suitable Lyapunov functional. Several sufficient criteria guaranteeing passivity and dissipativity are established by combining the Linear Matrix Inequalities (LMIs) framework with Lyapunov functional analysis, the comparison principle, contradiction arguments, various inequality techniques, and the newly developed passivity lemma. Finally, two simulation examples are presented to validate and illustrate the effectiveness of the proposed theoretical results. https://ijfs.usb.ac.ir/article_9974_412287e0493d24184dc7a31f145f294e.pdf