OPERASI DAN ISOMORFISMA PADA GRAF FUZZY M-STRONG

Abstract

The fuzzy graph M-strong part of the fuzzy graph whose degree of membership is equal to the minimum of the two-point membership degree that links it. The aim of this research is to prove the close nature of M-strong fuzzy graph on join operation, cartesian product, composition and its complement and also to prove the isomorphism of M-strong fuzzy graph. The result of this research is that the join of two fuzzy graphs is M-strong fuzzy graph if and only if both are M-strong fuzzy graphs. Cartesian product and the composition of two M-strong fuzzy graphs will produce an M-strong fuzzy graph. If the complement of the fuzzy graph complement is the same as the fuzzy graph itself, then the fuzzy graph is the M-strong fuzzy graph. If there is an 𝐺𝐺 and 𝐺𝐺 'isomorphic fuzzy graph then 𝐺𝐺 is an M-fuzzy graph if and only if 𝐺𝐺' is also an M-strong fuzzy graph. If fuzzy graph 𝐺𝐺 isomorphic co-weak with M-strong fuzzy graph 𝐺𝐺 'then 𝐺𝐺 is also an M-strong fuzzy graph and if 𝐺𝐺 isomorphic with 𝐺𝐺' then 𝐺𝐺 is connected if and only if 𝐺𝐺 'is also connected.