自己写的一个函数，不知道大佬有没有更好的办法

var strDate = "['a','b'],['c','d'],['e','f']";
//eval("([" + strDate + "])");
console.log(str_to_arr(strDate));
function str_to_arr(str){
    var a='',b=[];
    s = str.split('],[');
    //console.log(s.length);
    for(var i = 0;i < s.length;i++){
        //console.log(s[i]);
        if(i==0){
            a = s[i].substr(1);
            a = a.replace(/\'/g, "");
            a = a.replace(/\"/g, "");
            a = a.split(",");
            //console.log(a);
        }else if(i == Number(s.length-1)){
            //console.log('del');
            a = s[i].substr(0,s[i].length-1);
            a = a.replace(/\'/g, "");
            a = a.replace(/\"/g, "");
            a = a.split(",");
            //console.log(a);
        }else{
            a = s[i]
            a = a.replace(/\'/g, "");
            a = a.replace(/\"/g, "");
            a = a.split(",");
            //console.log(a);
        }
        b.push(a);
    }
    return b;
}

strDate.match(/\[.+?\]/g).map(e => e.replace(/\[|'|\]/g,'').split(','))

正则 match