فهرست نشریات علمی دسترسی آزاد ایران

The p, q, r-fractional fuzzy (p, q, r-FF) sets generalize fuzzy, intuitionistic fuzzy, and picture fuzzy sets, offering more versatility in managing uncertainty. In this paper, we introduce Einstein operations for p, q, r-FF sets and analyze their salient characteristics. Using these operations as a foundation, we construct a collection of advanced aggregation operators designed for p, q, r-FF environments. They consist of the p, q, r-FF Einstein weighted averaging (p, q, r-FFEWA) operator, the p, q, r-FF Einstein ordered weighted averaging (p, q, r-FFEOWA) operator, the p, q, r-FF Einstein weighted geometric (p, q, r-FFEWG) operator, and the p, q, r-FF Einstein ordered weighted geometric (p, q, r-FFEOWG) operator, introduced as an extension of conventional weighted and ordered weighted operators. To guarantee the consistency and dependability of these aggregation operators, we examine and establish essential characteristics, namely boundedness, idempotency, and monotonicity. Furthermore, we use these aggregation operators to build a decision-making model that enhances multi-attribute decision-making (MADM) procedures for p, q, r-FF sets and demonstrate their effectiveness in selecting the optimal site for a mobile network tower. Finally, we conduct a comparative analysis with several existing methods, highlighting the proposed method’s strengths in accuracy and consistency.