Exploiting Fuzzy Strength Relations of Social Behaviors on a Graph Model

Authors : Sevcan Emek, Melike Beyza Aytekin

Pages : 99-109

View : 35 | Download : 104

Publication Date : 2025-12-23

Article Type : Research Paper

Abstract :Fuzzy logic offers sociology a flexible, mathematical framework to capture the nuances of social reality, especially where ambiguity and subjective experience are central. This approach enables a more accurate and rich analysis of social systems and human behavior. Fuzzy relations represent the strength or closeness of social relations. Fuzzy relations methods measure the degree of closeness, conflict, or cooperation between social groups, providing a more nuanced understanding of intergroup relationships. In this study, the similarity relations between societies are evaluated by using the fuzzy logic method. Fuzzy logic provides a powerful relational model through membership degrees between 0 and 1. This work aims to present the mathematical model of the similarity relations among social groups. Regions belonging to social groups are presented through a graph model. Membership degrees are assigned to the parameters representing social differentiations. Similarity matrices of the regions are calculated using the algorithm proposed in this study. Fuzzy equivalence and tolerance relations of the regions are observed in similarity matrices. The fuzzy composition method is used to strengthen the similarity between regions. As a result of this study, the similarity effect of social differentiation parameters on regions can be observed through similarity matrices and graphs.
Keywords : Bulanık ilişki, Bulanık benzerlik, Çizge modeli, Sosyal farklılık

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