O'Reilly logo

Quotient Space Based Problem Solving by Bo Zhang, Ling Zhang

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

1.5. Property-Preserving Ability

1.5.1. Falsity-Preserving Principle

We have discussed the relation between the domains [X] and X. For a problem space (X, f, T,), structure T is very important. When a domain X is decomposed, its structure will change as well. Generally, it is simplified. The main point is whether some properties (or attributes) in X that we are interested in are still preserved after the simplification.
Generally speaking, there is a wide variety of structures. It is difficult to make a general discussion. We'll focus our attention on two common cases, i.e., topologic structure and semi-order structure. Although semi-order is one of topologic structures, due to its particularity we still discuss them separately.

1.5.1.1. Structure ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required