Integrating fuzzy numbers in analyzing students’ decisions on higher education and employment

G. Aruna1, J. Jesintha Rosline1, Maria Singaraj Rosary2, Mohammad Reza Farahani3, Mehdi Alaeiyan3, Murat Cancan4
1PG and Research Department of Mathematics,Auxilium College (Autonomous), Affiliated to Thiruvalluvar university, Serkadu,Vellore, Tamil Nadu, India
2Department of Mathematics, Vel Tech High-Tech Dr. Rangarajan Dr. Sakunthala Engineering College, Chennai 600062, Tamil Nadu, India
3Department of Mathematics and Computer Science, University of Science and Technology (IUST), Narmak, Tehran, 16844, Iran
4Faculty of Education, Van Yuzuncu Yıl University, Zeve Campus, Tuşba, 65080, Van, Turkey

Abstract

A prism fuzzy number is the integration of triangular and trapezoidal fuzzy numbers. In this artifact, the balancing point and the grading value of the prism fuzzy number is defined. By using prism fuzzy number, we were able to infer the Trapezoidal and Triangular fuzzy numbers. A comparative study with the current model is done to corroborate our findings. An enhanced grading technique for evaluating the prism fuzzy numbers is defined. Finally, the application of prism fuzzy numbers to assess student’s interest in higher studies and employment is illustrated using the MATLAB simulation. A statistical analysis is demonstrated using the Python programme with real-life data.

Keywords: prism fuzzy number (PrFN), balancing point, grading value, decision making