217 Copyright © 2014, IGI Global. Copying or distributing in print or electronic forms without written permission of IGI Global is prohibited. Chapter 11 DOI: 10.4018/978-1-4666-4991-0.ch011 MV-Partitions and MV-Powers ABSTRACT In this chapter, the authors generalize the Boolean partition to semisimple MV-algebras. MV-partitions together with a notion of refinement is tantamount a construction of an MV-power, analogous to Boolean power construction (Mansfield, 1971). Using this new notion we introduce the corresponding theory of MV-powers. 1. INTRODUCTION In this introduction we should like to touch on some points that will help the readers to comprehend the contents of the Chapter. 1.1 Interpretations and the Change of Point of View In modern mathematics we usually use Set Theory to express mathematical notions. In Set theory, as such there, is no uncertainty involved. However we usually have the habit to interpret some of the set-theoretic notions, in such a way that we model uncertainty. For example the func- tion ϕ : [,] X → 01 is a well-defined entity in Set Theory, and no uncertainty is connected with such a function. However we may interpret this as a generalized indicator or a membership function of a fuzzy set. This change of point of view leads to Fuzzy Set theory. Similarly a real number r ∈ ℝ , is interpreted in fuzzy set theory as a fuzzy real number ɶ ℝ r : [,] → 01 . Related to the change of point of view the following Dieudonne’s saying is instructive: “What changes in Mathemat- ics, as in all other Sciences, is the point of view from which results already acquired, are assessed.” The change of point of view essentially is connected with interpretations from one model to another. Think, for example, the interpretation of Euclidean terms in Riemannian geometry. To give a technical development of the intuition C. Drossos University of Patras, Greece P. L. Theodoropoulos Educational Counselor, Greece