Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2015
  • Volume: 7
  • Issue: 1

Forecasting the free cortisol levels after awakening based on high-order fuzzy logical relationship

  • Author:
  • P. Senthil Kumar, B. Mohamed Harif, A. Nithya
  • Total Page Count: 10
  • Page Number: 13 to 22

*Assistant professor of Mathematics, Rajah Serofji Government College, Thanjavur. (T.N.), E-mail: senthilscas@yahoo.com

**Assistant professor of Mathematics, Rajah Serofji Government College, Thanjavur (T.N.), E-mail: harif1984@gmail.com

**Research Scholar, Department of Mathematics, Rajah Serofji Government College, Thanjavur, (T.N), E-mail: harif84@yahoo.co.in

2000 Mathematics Subject Classification: Primary 90B22, Secondary 90B05, 60K30

Abstract

People usually use many methods to predict the weather, the temperature, the stock index, the enrollments, the earthquake, the economy, etc. A growing body of data suggests that a significantly enhanced salivary cortisol response to waking may indicate an enduring tendency to abnormal cortisol regulation. Based on these forecasting results, our objective was to apply the response test to a population already known to have long-term hypothalamo–pituitary–adrenocortical (HPA) axis dysregulation. We hypothesized that the free cortisol response to waking, believed to be genetically influenced, would be elevated in a significant percent age of cases, regard less of the afternoon Dexamethasone Suppression Test (DST) value based on high-order fuzzy logical relationships. First, the proposed method fuzzifies the historical data into fuzzy sets to form high-order fuzzy logical relationships. Then, it calculates the value of the variable between the subscripts of adjacent fuzzy sets appearing in the antecedents of high-order fuzzy logical relationships. Then, it lets the high-order fuzzy logical relationships with the same variable value form a high-order fuzzy logical relationship group. Finally, it chooses a high order fuzzy logical relationships group to forecast the free cortisol response to walking and the short day time profile.

Keywords

Fuzzy Time Series, Fuzzy Logical Relationship, Fuzzy Logical Relationship Groups, Mean Square Error, glucocorticoids, salivary cortisol, bipolar disorder, lithium, Dexamethasone Suppression Test, DST