Dominating Competition Graphs: Network Dynamics with Linguistic Z-Numbers

Domination and competition have been there since the beginning of the Universe. Bigger stars dominate the smaller ones and draw them towards themselves. Domination and competition are such phenomena that nothing in this universe can stay without. Stronger things and animals dominate the weaker ones. Again, when there is more than one strong dominant, there comes competition among them. To measure domination and competition together, we introduce here a domination competition graph, through which we identify the most competitive and dominating variables. By dominating the competition number, we calculate which nodes (when we draw a graph corresponding perception) are more powerful and how powerful. The nature of domination is also discussed by using true domination and false domination using the Linguistic Z-number theory. A few more properties have also been discussed.