Cognitive and Non-cognitive States in Romeo and Juliet’s Love Model and Its Chaotic Behaviors by Complex Fuzzy Numbers

When a person feels some emotion such as happiness, sadness, or love, the person consciously knows that such feelings appear, or it is done unconsciously, and sometimes it appears as a compound result of the two. In this paper, these two are defined as cognition and noncognition. By applying these two to the fuzzy love model using complex fuzzy numbers, we observe the chaotic behavior that appears in this model. We verify chaotic behaviors in the love model with fuzzy triangular and trapezoidal external forces using phase portrait and bifurcation diagram. The love model is known as the differential equation that can represent how a person feels love with respect to the time when the positive or negative external force is changed. Because love is a person’s feeling that includes vagueness and ambiguity of human emotion. Even more the external force also can express some external influence that is also can be human’s response. Because a person’s feeling is vague and ambiguous, fuzzy valued sinusoidal functions and Gaussian have been used to express those feelings and external forces.