2020_10_20_CIE_bejines
Fuzzy Logic applied to decision making. This is the research that can help companies to be better
Carlos Bejines' doctoral thesis demonstrates the effectiveness of certain algebraic Structures in decision making in multiple fields.
PHOTO: Courtesy
To hire a person or not to hire a person. To bring a product to market or not to do so. To make an investment in risky situations or not to do it. Carlos Bejines, PhD from the University of Navarra, researches in the field of Fuzzy Logic, discipline of Mathematics that gathers information from environments that contain uncertainty, vagueness and imprecision.
Bejines' research could contribute to improve organizational decision making through the analysis of fuzzy equivalence relationships. "Although many times the information or the data obtained are imprecise or incomplete, the final decision must be clear, for example, to bring a certain product to the market. And it is in this process that information aggregation plays a role core topic".
Dr. Bejines has studied the behavior of algebraic Structures through fuzzy operators. "Equivalence relations serve to catalog different elements of a given set (for example, formed by people, numbers or plants) based on properties they have in common. The structure of group is inherent in many natural and physical processes. They help us understand how nature works through the mathematical laws that govern it," says the young researcher.
One of the important innovations that Dr. Bejines brings to the table is the knowledge of how different algebraic Structures behave through fuzzy aggregation operators. "Carlos Bejines points out that the data contains, in most cases, an uncertainty and that the final output value must be clear, for which "a process of de-fuzzyification is necessary".
The results of this research could help the development of other disciplines such as Computer Science, Engineering or Physics -among others-, because the behavior of the different algebraic Structures -through the aggregation process- can constitute in themselves fruitful tools in these areas of knowledge. "Fuzzy Logic is interdisciplinary and we need the partnership of many researchers -from different areas-, to generate knowledge and create real-life applications", he adds.
Dr. Bejines points out that this field has a wide doctrinal development because there are still Structures mathematics that are not classified. "Knowing the grouping and distribution of the algebraic Structures using fuzzy operators would help to better understand nature through fuzzy mathematical models, as has already happened with other areas within Mathematics", he concludes.