Arithmetic operations of trapezoidal fuzzy variable using credibility theory. (2017)

• Record Type: Journal Article
• Authors: Garai, Totan; Chakraborty, Dipankar; Roy, Tapan Kumar
• Is Part Of: International journal of business forecasting and marketing intelligence. Volume 3:Number 1(2017)
• Page Start: 78
• Page End: 92
• Publication Date: 2017
• Subjects: trapezoidal fuzzy variables -- fuzzy membership function -- credibility theory -- credibility distribution -- density function -- arithmetic operations; Business forecasting -- Periodicals; Marketing research -- Periodicals; 658.40355
• Languages: English
• ISSNs: 1744-6635

Abstract

In this paper, we have developed an alternative method of finding the fuzzy membership function which leads the functions of trapezoidal fuzzy variables. Here we have used the concept of credibility theory to find out an alternative method of computing different type arithmetic operations of trapezoidal fuzzy variables. This method also lead us to find the membership function for the nth root of a trapezoidal fuzzy variable. The method has been illustrated with the help of some numerical examples.