Decision-Making in Changeable Spaces (DMCS): A New Paradigm

Abstract

In this chapter, we integrate the results of Chaps. 2–5, to introduce and develop a tool for effective DMCS problem solving, the Optimisation in Changeable Spaces (OCS). The pair DMCS-OCS is a new paradigm in decision-making and optimisation. This paradigm is based on Habitual Domain, the model (3.3), the 7-8-9 principles, and the concept of competence set. In DMCS-OCS, new concepts of solutions are used, namely, the acceptable and wonderful solutions introduced in Chap. 1 and discussed in Sect. 3.5. Several OCS models are proposed for two large classes of DMCS problems, namely, the covering and discovering problems. Moreover, operational procedures for solving these two problems are developed in Sect. 6.6. The acceptable or wonderful solutions of DMCS problems are presented in the form of a sequence of 7-8-9 principles, called IG-operators. Two DMCS problems are solved to demonstrate the application potential of OCS.