On a New Interpretation of Fuzzy C Mean Using Quantum Theory

Abstract

A quantum mechanics interpretation of Fuzzy C-Mean (FCM) is presented. Cluster aims to study the data distribution in scale space. Its characteristics are very similar to the particle world in quantum physics. By analyzing the essence of the quantum potential and the quantum trap, the paper discusses the core and the basis of Quantum Clustering in quantum mechanics. A couple of drawbacks about Quantum Clustering algorithm is also presented. In addition, known from the fuzzy mathematical computing, the important fuzzy similarity parameter u in FCM is expressed by the quantum wave function. After a series of analysis, the important six innovation conclusions about Iris, FCM, and Quantum Clustering are proposed, and one of the most important is that there is a cryptical wave function existing in FCM, as well as several important experimental results prove it.