が simply marks a subject of a sentence, but your question is not really about the use of が.
Note that 決定する has two usages: 〈人〉が〈事〉を決定する (transitive) and 〈事〉が決定する (intransitive). The former usage is similar to 決める, whereas the latter usage is similar to 決まる.
When we say something was decided without a focus on who did it, it is more natural to use 決定する intransitively rather than using it transitively in the passive form or with a subject omitted.
There are other verbs which can be used as both transitive verbs and intransitive verbs. Examples are:
- [開]{ひら}く: 扉を[開]{ひら}く / 扉が[開]{ひら}く (cf. [開]{あ}ける / [開]{あ}く)
- 移動する: 自動車を移動する / 自動車が移動する (cf. 動かす / 動く)
- 開始する: 試合を開始する / 試合が開始する (cf. 始める / 始まる)
- 分解する: 自転車を分解する / 自転車が分解する (cf. 分ける / 分かれる)