<p>Multipartite entanglement is a fundamental aspect of quantum mechanics, playing a crucial role in advancing quantum information processing and quantum computation. Within this field, genuinely multipartite entanglement (GME), which involves entanglement across all bipartitions, and absolutely maximally entangled (AME) states, which exhibit maximal entanglement in all bipartitions, represent two significant types of entanglement with diverse applications. In this work, we introduce a new measure called the GME-AME multipartite entanglement measure, where a non-zero value indicates the presence of GME states, and the maximum value is achieved exclusively by AME states. The proposed measure is applied to study the multipartite entanglement of four-partite systems using operator to state mapping. Various classes of four-party states, including those constructed from diagonal unitary operators and permutation operators, are analyzed in detail for their entanglement structures. Additionally, four-partite qubit and qutrit states are classified according to the measure. Our results demonstrate that the proposed measure is robust in classifying four-partite entangled states.</p>