Construction of Fuzzy Relational Map in Bipolar Fuzzy Environment with an Application to Study the Causal Influence of Self-Beliefs on the Formation of Self-Concept in Children

Abstract

Cognitive maps are knowledge structures that demonstrate the causal relationship among the concepts. Cognitive map models based on fuzzy sets have contributed to the development of knowledge processing methods. The fuzzy relational map is a cognitive map model in which concepts are divided into two sets which are disjoint. The fuzzy sets that denote the concepts and the causal links determine the efficiency of the model. The advanced fuzzy sets enable the model to capture the uncertainty in the system and the vagueness in the expert opinions, making it more sophisticated and efficient. Bipolar fuzzy set is an extension of ordinary fuzzy set that can capture the bipolar information involved in the causal relationship. In this work, a fuzzy relational map is constructed based on bipolar fuzzy sets to study the causal influence of self-beliefs on the formation of self-concept in children.