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Original Article | Mathematics | Volume 15 Issue 3, March 2026 | Pages: 1392 - 1397 | India
Mixed Picture Fuzzy Graphs for Consumer Influence Modeling in Recommendation Systems
Abstract: This study develops the theoretical framework of Mixed Picture Fuzzy Graphs by integrating picture fuzzy sets with mixed graph structures to model uncertainty and directional influence. Fundamental structural properties including degree relations and order size bounds are established. An algorithmic recommendation model is formulated and demonstrated through a numerical product ranking example. The findings indicate that the proposed framework improves representation of uncertain preference interactions and supports influence aware recommendation analysis. The results suggest broader applicability of the model in decision support systems involving imprecise relational data.
Keywords: Mixed Picture Fuzzy Graph, Uncertainty Modeling, Recommendation Systems, Graph Theory, Influence Networks, and Picture Fuzzy Sets
How to Cite?: Keerthika R, Nandhini C, "Mixed Picture Fuzzy Graphs for Consumer Influence Modeling in Recommendation Systems", Volume 15 Issue 3, March 2026, International Journal of Science and Research (IJSR), Pages: 1392-1397, https://www.ijsr.net/getabstract.php?paperid=SR26322110934, DOI: https://dx.dx.doi.org/10.21275/SR26322110934