No abstract

No abstract

Picture fuzzy relation is an important and powerful concept which is suitable for describing correspondences between objects. It represents the strength of association of the elements of picture fuzzy sets. In this paper we have defined min-max composition for picture fuzzy relations and some properties are explored based on this definition. Also we have discussed some properties of max-min composition for picture fuzzy relations. Finally, an application is discussed as illustration to show how the picture fuzzy relation are applied in decision making.

In this article, we define the arithmetic operations of generalized trapezoidal picture fuzzy numbers by vertex method which is assembled on a combination of the (α, γ, β)-cut concept and standard interval analysis. Various related properties are explored. Finally, some computations of picture fuzzy functions over generalized picture fuzzy variables are illustrated by using our proposed technique.