<p>This paper investigates the issue of finite-time extended dissipative filtering for a class of discrete-time uncertain singular semi-Markov jump linear parameter-varying (SS-MJLPV) systems with deterministic switching signals. Governed by these switching signals, the transition probability matrix of the semi-Markov chain becomes time-varying as a function of the dwell time. This paper proposes a probabilistic dynamic event-triggered protocol (PDETP) with a time-varying triggering threshold to alleviate the network communication burden, thereby extending conventional dynamic mechanisms. On the other hand, hybrid cyber-attacks are incorporated to enhance the robustness of the filtering error system. Furthermore, an asynchronous non-fragile filter is designed based on a hidden Markov model to account for the mode mismatch between the system and the filter. By constructing a parameter- and mode-dependent Lyapunov-Krasovskii functional and employing linear matrix inequality (LMI) techniques, we derive sufficient conditions. These conditions guarantee that the filtering error system, under average dwell time switching constraints, is singular stochastic finite-time bounded and satisfies the extended dissipative criterion. Finally, a numerical example based on a dynamic Leontief economic model is provided to validate the effectiveness and usefulness of the proposed method.</p>