Fuzzy Hierarchical Multiplex

Abstract

A new fuzzy optimization framework that extends FCM causality is proposed. This model utilizes the dynamics to map data into metrics and create a framework that examines logical implication and hierarchy of concepts using a multiplex. Moreover, this is a white-theoretical paper introducing the framework and analyzing the logic and math behind it. Upon this extension the main objectives and the orientation of this framework is expounded and exemplified; this framework is meant for service optimization of information transmission in service process design. Lastly, a thorough analysis of the FHM is included which is done following the logical steps in a simple and elegant manner.

arXiv comment11 pages, 2 figures, 1 double figure, 1 table, 12 references. This will be part of my PhD dissertation and it is a White paper-theoretical framewor. As is, it s meant for a basis that will be later used to further developed an FHM. It might not be math-logic related and I am willing to change it, I just felt that it belonged to mathematical modeling. Yours truly, AK