PCM with Linguistic Contradiction Degree Representations in Decision making on Academic Stress causing Factors
N. Angel1, P. Pandiammal2, N. Ramila Gandhi 3, Nivetha Martin4,*, Florentin Smarandache5
1 School of Mathematics, Madurai Kamaraj University, Madurai, Tamil Nadu, India
2Department of Mathematics, GTN college of Arts & Science, Dindigul, Tamilnadu, India
3 Department of Mathematics, PSNA College of Education and Technology, Dindigul
4 Department of Mathematics, Arul Anandar College(Autonomous),Karumathur, Tamil Nadu, India
5 Emeritus Professor University of New Mexico, Mathematics, Physics, and Natural Science Division, USA
Emails: angelkeeri@gmail.com; pandiammal5781@gmail.com; satrami@psnacet.edu.in; nivetha.martin710@gmail.com; fsmarandache@gmail.com
Abstract
Plithogenic Cognitive Map (PCM) is the generalized form of Cognitive maps that has recently ebbed into the field of decision-making. The first developed PCM model comprises of factors, connection matrix with numeric contradiction degree between the factors. In this research work a PCM model with linguistic contradiction degree representations between the core and sub factors is developed to make the decision-making more comprehensive. The model formulated in this research work is illustrated with the factors causing academic stress to the students of digital educational system. Personal, Social, Economic and Institutional are considered as the core factors and the contradiction degree in linguistic sense is considered with respect to each of these core factors and ten sub factors. The obtained results on comparing with conventional models are highly promising and this model will certainly set new benchmarks of a comprehensive decision-making model.
Keywords: PCM; linguistic variable; contradiction degree; academic stress