Our main objective of this paper is to find out the new fuzzy tool called Triangular Fuzzy Cognitive Maps to analyze the social problem. Usually in FCM we analyze the causes and effects of the relationships among the concepts to model the behavior of any system. But this new model gives the causes and effect of the relationships among the concepts to model behavior with ranking of any system. In this paper, we analyze the divorce problem using Triangular Fuzzy Cognitive Maps, it has five sections. In first section, we give the brief introduction to Fuzzy Cognitive Maps (FCM), Section two gives the basic definitions of FCM. In section three we derive the definitions for Triangular Fuzzy Cognitive Maps (TrFCM) and Hidden pattern of the dynamical system. In Fourth section we analyzed the concept of the problem using Triangular Fuzzy Cognitive Maps (TrFCM).In Final section we give the conclusion based on our study.