Abstract In the theory of line graphs undirected graphs, there exists an important theorem linking incidence matrix root graph to adjacency its graph. For directed or mixed however, no analogous result. The goal this article is present aligned definitions matrix, and a such that mentioned valid for graphs.

This paper introduce two types of edge degrees (line degree and near line degree) total (total an in a fuzzy semigraph, where semigraph is defined as (V, σ, μ, η) on G* which σ : V → [0, 1], μ VxV 1] η X satisfy the conditions that for all vertices u, v vertex set, μ(u, v) ≤ σ(u) ᴧ σ(v) η(e) = μ(u1, u2) μ(u2, u3) … μ(un-1, un) σ(u1) σ(un), if e (u1, u2, …, un), n ≥ 2 G*, pair sets X) set non - ...

abstract in this paper, a fuzzy pid with new structure is proposed to solve the load frequency control in interconnected power systems. in this study, a new structure and effective of the fuzzy pid-type load frequency control (lfc) is proposed to solve the load frequency control in interconnected power systems. the main objective is to eliminate the deviations in the frequency of different area...

Let be a simple undirected fuzzy graph. A subset S of V is called a dominating set in G if every vertex in V-S is effectively adjacent to at least one vertex in S. A dominating set S of V is said to be a Independent dominating set if no two vertex in S is adjacent. The independent domination number of a fuzzy graph is denoted by (G) which is the smallest cardinality of a independent dominating ...

We introduce a new fuzzy linear regression method. The method is capable of approximating relationships between an independent and dependent variable. variables are expected to be real value triangular numbers, respectively. demonstrate on twenty datasets that the reliable, it less sensitive outliers, compare with possibilistic-based methods. Unlike other commonly used methods, presented simple...