While the extended credibility-limited revision approach offers significant advantages, it also presents certain limitations compared to other belief change frameworks. One notable drawback is the complexity involved in defining and implementing the axiomatic structure required for extended credibility-limited revision operators. This complexity may lead to challenges in practical applications, particularly in systems where computational efficiency is critical.
Additionally, the reliance on total preorders and the specific axioms (such as (CL3wcp) and (CL3u)) may limit the flexibility of the operators in certain contexts. For example, in situations where beliefs are highly dynamic or rapidly changing, the rigid structure of extended credibility-limited revision may not adapt as fluidly as other frameworks, such as those based on non-prioritized revision or update mechanisms.
Furthermore, the extended credibility-limited revision operators may not fully address scenarios involving deep-rooted inconsistencies or contradictions within belief sets. In cases where beliefs are fundamentally incompatible, the operators may struggle to provide a satisfactory resolution, potentially leading to stagnation in belief change processes.