この評価値が高いほど、その手が有望だと判断される。
The higher this evaluation value, the more promising the move is judged to be.
スコア is a common loanword for score, used broadly in games, tests, and rankings. 評価値 is more technical and often implies a computed metric in algorithms.
Compound of 評価 (evaluation) and 値 (value). A straightforward technical term with no known historical complexities.