Generalized variational inequalities for linguistic interpretations using intuitionistic fuzzy relations and projected dynamical systems

Abstract The fuzzy set theory enables us to represent our knowledge under multiple interpretations and axiomatic foundations from linguistic computational representations. While the intuitionistic set, as a generalization of cannot only tolerance levels, but also intolerance levels which decision maker can tolerate in accomplishment interpretation, this paper, we introduce generalized variational inequalities for using relations. It is shown that such problems be transformed into classical (nonfuzzy) by means level sets relation. Furthermore, equivalence between with relations fixed point established. Finally, based on projection method, propose an iterative algorithm projected neural network model relations, stability proposed dynamical system investigated.