Network susceptibilities: Theory and applications

Network susceptibilities: Theory and applications.

We introduce the concept of network susceptibilities quantifying the response of the collective dynamics of a network to small parameter changes. We distinguish two types of susceptibilities: vertex susceptibilities and edge susceptibilities, measuring the responses due to changes in the properties of units and their interactions, respectively. We derive explicit forms of network susceptibiliti...

FUZZY SOFT SET THEORY AND ITS APPLICATIONS

In this work, we define a fuzzy soft set theory and its related properties. We then define fuzzy soft aggregation operator that allows constructing more efficient decision making method. Finally, we give an example which shows that the method can be successfully applied to many problems that contain uncertainties.

The Gaussian Network Model: Theory and Applications

CONTENTS 3.

Network flows - theory, algorithms and applications

Modular Network SOM: Theory, Algorithm and Applications

The modular network SOM (mnSOM) proposed by authors is an extension and generalization of a conventional SOM in which each nodal unit is replaced by a module such as a neural network. It is expected that the mnSOM will extend the area of applications beyond that of a conventional SOM. We set out to establish the theory and algorithm of a mnSOM, and to apply it to several research topics, to cre...