Abstract: The community integrated energy system features multiple forms of energy, cross-time scales, and the dual identity of production and consumption, resulting in a high-dimensional bidding information space. This presents significant challenges for the community's participation in integrated energy market bidding. To address these complexities, a decoupled bidding strategy for the community integrated energy system based on multi-parameter programming is proposed. First, a unified bidding model adapted to both centralized and distributed market structures is established to address the substantial differences in the current integrated energy market operation mechanisms. Subsequently, a community's bidding strategy is constructed based on multi-parameter programming theory to extract concise and effective information for market bidding. For the centralized market structure, the bidding surface for the community's cost and various trading energies are derived. For the decentralized market structure, multiple sets of quantity-price curves targeting different energy markets are extracted, quantitatively characterizing the community's trading willingness under different market prices. This decouples the high-dimensional bidding information of the community, ensuring market operation efficiency. Based on this framework, a clearing method is proposed to accommodate the reduced-dimensional bidding surfaces/curves in the integrated energy market. Finally, the simulation results verify the effectiveness and practicability of the proposed method.