Bracercom -> Tutorial Section -> Fixing Boolean In 3DS Max
I Will Be Using This 3D Object That I've Modeled For This Tutorial.
Notice The Top Section Requires A Union Operation While
The Bottom Requires A Boolean Subtraction Operation.

P.S:
There's No One Way Of Modeling This Object, Its Just That
For The Sack of This Tutorial, I'll Be Concentrating On Boolean Here.
This Is Not A Step By Step Tutorial On How To Model This Part,
Just How To Fix Boolean In 3DS Max Which Is Why You're Here For.

Create The Overall Form Of Your Object And Its Boolean Counter Parts.
Now……Boolean It.

For Inferior Works, This Should Suffice, But Why Do I Even Say That?
Nobody Want These!
Not Even Nobody!

This Is The Steps To Fixing Boolean. You May Want To Note It Down Or Something.
1) Remove Isolated Vertices, Meaning Vertices That Does Not Connects To Any Edge's End Point.

2) Now Connects The Vertices Together So That The Edges Flow "Nicely" Using The "Target Weld" Function.

3) Now Try To Make All Surrounding Polygon Four Sides, If That's Really Not Possible Then Five Sided.

P.S:
Resist Creating Three Sided Polygons. They Give A Horrible Pinching Effect When MeshSmoothed.

The Ideal Result.
Heres More Example Of Nice Wireflow That Result After Fixing Boolean Operations.
Just Look At How Well Those Fixed Boolean Intersections Flow In And Out After Meshsmooth. Just Look At How Those Curved Edges Catches Highlights !
Perfection.
Tutorial By Bracer Jack