Academic Background With the rapid development of artificial intelligence (AI) and natural language processing (NLP), large language models (LLMs) have made significant progress in both academia and industry. However, despite the outstanding performance of LLMs in multiple NLP tasks, no single model has been able to simultaneously meet all task req...

Academic Background and Problem Introduction In the field of Multi-Expert Multi-Criteria Decision-Making (MEMCDM), effectively handling uncertainty and imprecise information has always been a core challenge. Particularly in complex scenarios involving multiple experts and decision criteria, experts’ opinions often diverge, complicating the decision...

Academic Background In fields such as decision analysis, pattern recognition, and medical diagnosis, fuzzy set theory provides essential mathematical tools for handling uncertainty and ambiguity. Traditional fuzzy sets (Fuzzy Set, FS) and intuitionistic fuzzy sets (Intuitionistic Fuzzy Set, IFS) have certain limitations when dealing with complex da...

Academic Background and Problem Statement In the field of fuzzy sets (Fuzzy Sets, FSs), handling uncertainty is one of the core challenges. Fuzzy sets were first introduced by Zadeh in 1965 and quickly became a hot topic in theoretical and applied research. With the deepening of research, an extended form of fuzzy sets—Orthopair Fuzzy Sets (OFSs)—e...

Background Introduction Fractional Differential Equations (FDEs) extend traditional calculus by allowing derivatives and integrals of non-integer orders. This mathematical framework exhibits unique advantages in describing complex dynamical behaviors, particularly in the study of chaotic and nonlinear systems. Lyapunov Exponents (LEs) are critical ...

Academic Background In nonlinear dynamical systems, frequency switching has garnered significant attention in recent years due to its ubiquitous presence in the real world and its distinctive fast-slow dynamics. Frequency switching can induce divergence behaviors at certain switching thresholds, destabilizing bursting solutions in slowly excited ve...

The Influence of Double Delays in a Diffusive Predator-Prey System: A Study Using the Stability Switching Curve Method Academic Background The predator-prey model is one of the fundamental models in ecology for studying population interactions. Although these models may seem simple, they can generate complex dynamic structures and even lead to chao...

Research Background and Problem Introduction Nonlinear wave systems are core research topics in fields such as physics, optics, and condensed matter physics. However, real-world nonlinear wave systems are often subject to random noise interference, which can significantly alter the behavior of waves, such as soliton propagation, wave turbulence for...

In today’s era of information explosion, decision-makers are faced with a vast amount of information, not all of which is relevant to their decisions. To better make optimal decisions in data-rich environments, the Rational Inattention (RI) model has been introduced into the field of economics. The core idea of this model is that decision-makers ne...

Research Report on Identifying New Classes of Financial Price Jumps Using Wavelets Academic Background Price jumps in financial markets refer to significant price fluctuations occurring within an extremely short period, typically caused by exogenous factors (such as sudden news) or endogenous factors (internal market feedback mechanisms). Distingui...