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To browse Academia. Pixie Lizz. Alexandra Chavarria Arnau , Tamara Lewit. Globalization is an inevitable and objective trend, strongly attracting the participation of all countries and regions in the world. With its vast and complex nature, globalization has strongly affected all countries, all areas of social life, especially culture.
For Vietnam, globalization has been bringing opportunities and opportunities, while also creating real challenges and dangers in the preservation and development of culture. Therefore, the urgent issue now is to fully and deeply define and have a reasonable strategy, both taking advantage of opportunities and overcoming threats to promote the role of culture in society.
The process of globalization has important theoretical and practical implications. Frank t-norms are parametric family of continuous Archimedean t-norms which are also strict when the parameter is nonnegative. Very often, this family of t-norms is also called the family of fundamental t-norms because of the role it plays in several applications.
In this paper, we study a nonlinear optimization problem with a special system of Fuzzy Relational Equations FRE as its constraints. We firstly investigate the resolution of the feasible solutions set when it is defined with max-Frank composition and present some necessary and sufficient conditions for determining the feasibility and some procedures for simplifying the problem.
Since the feasible solutions set of FREs is non-convex and the finding of all minimal solutions is an NP-hard problem, conventional nonlinear programming methods may involve high computation complexity.