Nonlinear Programming and Nitrosophic Logic A focus of study at the International Private University of Science and Technology

Nonlinear programming is one of the main pillars of operations research, as its applications extend across diverse fields such as engineering, physics, chemistry, management, economics, and even the military, and it plays an important role in forecasting, estimation, applied statistics, and cost calculation associated with the production, purchase, and storage of goods.

In the context of recent developments, nitrosophic logic emerged to effectively address the uncertainties inherent in the real world, and came to replace binary logic that recognizes right and wrong by introducing a neutral third state that can be interpreted as indeterminate or uncertain.

This logic was founded by the American philosopher and mathematician Florentin Smarandacke in 1995 and presented it as a generalization of fuzzy logic and an extension of the theory of fuzzy categories presented by Lotfi Zadeh in 1965.

In this context, a researcher from the International Private University of Science and Technology, working jointly with the founder of nitrosophic logic from the University of New Mexico, presented a scientific study entitled “Nitrosophic Unconstrained Nonlinear Programming Problems, Gradient Projection Method“ that aimed to provide a new (nitrosophic) vision of some important foundations and principles of nonlinear programming and the gradient projection method used in the search for the optimal solution of unconstrained nonlinear programming problems.

The study focused on the improvement provided by the nitrosophic values when used in the field of applied mathematics, through the more accurate and comprehensive solutions obtained, which give a margin of freedom commensurate with the reality of the situation in light of the changes that can occur to the data of the real issue under study, which requires decision makers to prepare several alternatives suitable for each change.

The study was published in the International Journal of Nitrosophycology.