"判定支援系统" can be translated into English as "Decision Support System for Judgment" or, more commonly and concisely, "Judgment Support System".
"Decision Support System" is a well-established term in the field of information systems, referring to systems that help users make decisions by providing relevant information and analytical tools.
Adding "for Judgment" or simply using "Judgment Support System" emphasizes the system's role in aiding the judgment or decision-making process.
The choice between these two translations may depend on the specific context and the emphasis you wish to place on the system's function.