New Type of Open Sets and Decomposition of Continuity Via Picture Fuzzy Topological Spaces

Abstract

Picture fuzzy set gained attention in the field of decision making because many situation may have more than one choice and investigators are looking for optimum choice/decision. Elements in general topological space deals only one case while picture fuzzy topological space deals the case which has three components. This motivates to introduced new type of open sets as well as closed sets are in picture fuzzy topological space. Also, picture fuzzy continuous functions and some properties of picture fuzzy continuous functions are introduced and studied in this paper.