If one includes logic, which is part of human reason.
I believe that "officially" the Catholic Church uses the same interpretive standards as we Lutherans do, but also give equal weight to tradition.
When we use Scripture to interpret Scripture we may read something, for example the Prophesies of Isiah regarding the Messiah. From reading these alone we get realize that something great was foretold, yet without the Gospel, we can not fathom exactly what is being foretold, likewise we would not be able to see the Gospel in the OT without the new. Looking at it another way, we can read the Gospels alone, but without the OT prophesies, we may (as many do) see only an amazing set of circumstances and may miss the fulfilment of God's plan.
Human reason get's us into trouble. Zwingli reasoned that Christ's physical body can not be in two places at once (because our physical bodies can't either), therefore since Christ and His body are in heaven, then reason leads us to understand the His body and blood can not be present on the Altar during the Mass; even though Christ's words tell us over and over that it is indeed. Further on this topic of logic, St. Thomas Aquinas solidified the Catholic teaching of Transubstantiation through embracing the pagan logic of Aristotelian metaphysics, when Scripture clearly mentions that both bread and wine and Christ's body and blood are present at the same time; both we Lutherans and the Eastern Orthodox consider this "sacramental union" to be a Divine Mystery, and, in light of Scripture see no further explanation offered, nor is one needed.
If one can not understand something in the Bible, similar circumstances, issues, concerns can be found elsewhere in Scripture, and be reading and studying all of these similar things, Scripture interprets Scripture, and Scripture gives context to Scripture.
Many denominations today use an historical critical methodology to interpret Scripture today, which is how they can justify female and gay ordination; same sex marriages, abortion, extreme ecumenism (syncrytism, universalism, and Unitarianism); they reason that that was then this is now.
1 Corinthians 1:17-25 (New King James Version)
New King James Version (NKJV)
17 For Christ did not send me to baptize, but to preach the gospel, not with wisdom of words, lest the cross of Christ should be made of no effect.
Christ the Power and Wisdom of God
18 For the message of the cross is foolishness to those who are perishing, but to us who are being saved it is the power of God. 19 For it is written:
I will destroy the wisdom of the wise,
And bring to nothing the understanding of the prudent.
20 Where is the wise? Where is the scribe? Where is the disputer of this age? Has not God made foolish the wisdom of this world? 21 For since, in the wisdom of God, the world through wisdom did not know God, it pleased God through the foolishness of the message preached to save those who believe. 22 For Jews request a sign, and Greeks seek after wisdom; 23 but we preach Christ crucified, to the Jews a stumbling block and to the Greeks foolishness, 24 but to those who are called, both Jews and Greeks, Christ the power of God and the wisdom of God. 25 Because the foolishness of God is wiser than men, and the weakness of God is stronger than men.
When we employ personal interpretation or logic, we are putting our wisdom before God's.