Chapter 1

Problem Representations

Abstract

This is the overview of the quotient space theory of problem solving that we proposed. Based on the theory, a problem is represented by a triplet, i.e. domain, attribute and structure. Compared to general graph representations, it offers a tool for depicting different grain-size worlds. We discuss the acquisition of different grain-size worlds, i.e., the construction of quotient spaces from the original one, including the granulation of domains, attributes and structures, especially, the construction of quotient topology and quotient semi-order structures from the original ones. Some key issues such as the relations and the property preserving, truth/falsity preserving, ability among different quotient ...

Get Quotient Space Based Problem Solving now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.