Group Theory and its Applications to Physical Problems

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.

An Introduction to Percolation Theory and Its Physical Applications

In this paper, we discuss the basic elements of percolation theory, beginning with the physical motivation for the abstraction and the essentials of the bond model on the LD square lattice. The critical phenomenon is introduced, a fundamental concept in percolation theory. We then describe the general use of percolation theory to analyze physical phenomena. We examine one such application in de...

Lecture notes : Group theory and its applications in physics

Fuzzy Adaptive Resonance Theory with Group Learning and its Applications

Adaptive Resonance Theory (ART) is an unsupervised neural network based on competitive learning which is capable of automatically finding categories and creating new ones. Fuzzy ART is a variation of ART, allows both binary and continuous input pattern. In this study, we propose an additional step, called “Group Learning”, for the Fuzzy ART in order to obtain more effective categorization. This...

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.