Author/Authors :
Baharun, Sabariah Universiti Teknologi Malaysia - Faculty of Science - Department of Mathematics, Malaysia , Ahmad, Tahir Universiti Teknologi Malaysia - Faculty of Science - Department of Mathematics, Malaysia , Mohd Yusof, Mohd Rashid Universiti Teknologi Malaysia - Faculty of Chemical and Natural Resourses Engineering - Department of Chemical Engineering, Malaysia
Abstract :
Structured networks of interacting components are hallmarks of several complex systems and clinical waste incineration process is an example of such a system. Fuzzy graph theory provides important tools to capture various aspects of complexity, imprecision and fuzziness of the network structure of the incineration system as compared to the discrete description of relation of its crisp graph. This paper discusses the use of fuzzy edge connectivity in describing the relation between the variables in the incineration process. It begins with the definition of fuzzy graph that involves five different types of graph fuzziness in which fuzzy edge connectivity constitutes its third type. The fuzzy edge connectivity and the membership values of the fuzzy edge connectivity based on the chemical reactions of the variables of the system are defined and illustrated respectively. Fuzzy graph showing the relation between the variables are also depicted in a diagram to give a better picture of the relation between these variables.
