Achieving　synchronization　in　a　designated　time　for　multilayered　networks　(MLNs)　is　particularly　challenging　when　state　information　is　unavailable.　This　study　provides　theoretical　solutions　to　the　fixed-time　(FIM)　predetermined-time　(PIM)　synchronization　problems　in　MLNs.　Firstly,　a　high-resolution　model　of　established　with　both　intra-layer　and　inter-layer　coupling.　Additionally,　a　practical　PIM　stability　and　high-precision　settling　time　estimation　are　formulated.　Furthermore,　two　edge-based　event-triggered　intermittent　control　(EAIC)　strategies　are　developed　for　MLNs　using　various　auxiliary　functions.　synchronization　issues　are　addressed　while　eliminating　Zeno　behaviors　throughout,　except　during　the　time.　Ultimately,　the　feasibility　of　the　proposed　theory　is　demonstrated　through　the　design　of　a　synchronization　circuit　within　the　complex　system.