Characterization of 0-1 Possibility Measure: Continuity and Regularity Conditions of Possibility Measures

The purpose of this work is to investigate the topological nature of Fuzzy measure and relationship on the continuities between possibility density function and Possibility measure on compact topological spaces. The research deals with the concept of compactness of fuzzy topological spaces, continuities and regularity between Possibility measure and possibility density function of compact topological spaces and related ideas.