On Linear Diophantine Fuzzy Graph Structures under Optimization Parameter with Application in Decision Making

Abstract

In this thesis we have presented various concepts related to linear Diophantine fuzzy graphic structures (LDFGS's) in terms of weighted mean product (WMP) such as linear Diophantine weighted mean fuzzy graph structures (LDWMGFGS), various operations of fuzzy graphs (FG) such as Cartesian product, composition, union and join are presented and defined by using weighted mean product (WMP) with the help of examples. Some results have also been described. At last by using fuzzy relations (FR) and definition of weighted mean product we have constructed an algorithm based on comparison of five major cities of Pakistan in terms of rankings of basic facilities present.