Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 12 2 2021 11 01 Fuzzy equality co-neighborhood domination of graphs 537 545 5101 10.22075/ijnaa.2021.5101 EN Sahib Sh. Kahat Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq Ahmed Omran Department of Mathematics, College of Education for Pure Science, University of Babylon, Babylon, Iraq. Manal Al-Harere Department of Applied Sciences, University of Technology Baghdad, Iraq Journal Article 2020 10 27 In that paper the fuzzy equality co-neighborhood domination and denoted by $\gamma_{en}(G)$ for a new definition of domination was described for the fuzzy graph. This new definition was studied in a strong fuzzy graph and constraints were found for many several graphs. Complementary strong fuzzy graphs of the same graphs were examined and studied in detail. Fuzzy equality co-neighborhood dominating set fuzzy equality co-neighborhood domination number strong fuzzy graph complement fuzzy graph https://ijnaa.semnan.ac.ir/article_5101_71ac3e8cb3ee98864c11a98c17d8e174.pdf