eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences April 2010 22 1 179 186 jusps-A 1042 article α - Domination in Fuzzy graphs S.K. Ayyasamy (sjcayya@yahoo.co.in) 1 C. Natarajan (natarajan_c@maths.sastra.educ 1 Department of Mathematics, SASTRA University, Thirumalaisamudram, Thanjavur - 613 402 (Tamil Nadu ) INDIA) <p style="text-align: justify;">In this paper we introduce the concept of a- domination in fuzzy graphs. We determine the a- fuzzy domination number &nbsp;for fuzzy graphs and obtain bounds for the same. This paper also contains many counter examples especially to show that Nordhaus Gaddum type result need not be true not only for fuzzy graphs but also for crisp graphs.<br /> &nbsp;</p> https://www.ultrascientist.org/paper/1042/ Fuzzy graphs fuzzy domination a - domination a - fuzzy dominating set