On uncertain nodule fuzzy graph & resemblance coefficients

Abstract

To overcome the uncertainty of graph theory, fuzzy graph theory is adopted. Customarily, the imprecise and uncertain data can be effectively evaluated and analyzed by fuzzy graph theory. Fuzzy graph theory can be extended and an uncertain nodule fuzzy graph is originated. As the uncertain nodule is difficult to scrutinize, here the uncertain nodule is changed to a simple fuzzy graph utilizing triangular function group. Moreover, the association within the nodules is analyzed by defining uncertain eventuality table. In this paper, five topics are discussed, (a)innovative triangular function “GKT product”, (b) uncertain nodule fuzzy graph, (c) uncertain eventuality table, (d) entropy measures of uncertainty and (e) selection scrutiny of ideal esteem Fμ0 in the fuzzy graph series {Fμ}. Through the utilization of uncertain nodule fuzzy graph theory, the innovative triangular function and the uncertain eventuality table, the associational architecture of uncertain data is clarified. Based upon the selection procedure in this paper, the ideal esteem Fμ0 in the fuzzy graph series {Fμ}, and the architectural feature of uncertain nodule fuzzy graph can be found.