Fuzzy modeling of cortisol secretion of job strain due to stress using extended hausdroff distances for Intuitionistic fuzzy sets Kumar P. Senthil*, Harif B. Mohamed** Assistant Professor, Mathematics, Rajah Serofji Government College, Thanjavur, (T.N) *E-mail: senthilscas@yahoo.com
**E-mail: harif1984@gmail.com
2000 Mathematics Subject Classification: Primary 90B22 Secondary 90B05; 60K30 Online published on 10 February, 2015. Abstract In this paper, Fuzzy model of extended hausdroff distance for intuitonistic fuzzy sets and interval-valued fuzzy sets based on the hausdroff metric (four inputs–one output and two inputs–one output) were developed to test the hypothesis that high job demands and low job control (job strain) are associated with elevated free cortisol levels early in the working day and with reduced variability across the day and to evaluate the contribution of anger expression to this pattern. The quality of the model was determined by comparing predicted and actual fuzzy classification and defuzzification of the predicted outputs to get crisp values for correlating estimates with published values. A modified form of the Hamming distance and Euclidian distance measure is proposed to compare predicted and actual fuzzy classification. An entropy measure is used to describe the ambiguity associated with the predicted fuzzy outputs. The two inputs (high and low) predicted over 40% of the test data within one-half of a fuzzy class of the published data. Comparison of the model (men and women) shows that the hausdroff hamming distances exhibited less entropy than the hausdroff Euclidian distance. Top Keywords Job strain, cortisol, anger, work stress, teaching, Intuitionistic fuzzy set, Mamdani fuzzy modeling, Hamming distance, Hausdroff Hamming distance, Hausdroff Euclidean distance, Extended Hausdroff distance. Top |