A study of g*-fuzzy closed set via αm in double fuzzy topological space

Document Type : Research Paper


1 Ministry of Education, Salah al-Din Education Directorate, Tikrit, Iraq

2 Department of Mathematics, University of Tikrit, Iraq


The aim of this research paper is to present and study a new class of generalized closed sets in double fuzzy topological spaces, by using the fuzzy  $\alpha^m$-closed set, that was previously presented. This new class is called the fuzzy $\alpha^m- g^*$-closed set. The relationship of the new concept with previous concepts is studied and the characteristics of this concept is investigated through important theorems that determine the position of this set in relation to sets that have been studied or that will be presented later. Also, generalizations of the functions are presented according to the concept, their properties are studied, and some necessary examples that show the properties of this concept and its relationships.