One first step for refactoring this could be to put all you limits into an array or list and then iterate over it and test every limit:
private int function getBasedOnInterval(int value) {
int result = RESULT15;
// consider LIMITS as an array containing 0, LIMIT1...LIMIT13
// consider RESULTS as an array containing RESULT1...RESULT14
for(int index = 0; index < LIMITS.length; index++) {
if(value <= LIMITS[index]) {
result = RESULTS[index];
breaks;
}
}
return result;
}