Arithmetic operations of trapezoidal fuzzy variable using credibility theory

Totan Garai, Dipankar Chakraborty and Tapan Kumar Roy

International Journal of Business Forecasting and Marketing Intelligence, 2017, vol. 3, issue 1, 78-92

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.

Keywords: trapezoidal fuzzy variables; fuzzy membership function; credibility theory; credibility distribution; density function; arithmetic operations. (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:ids:ijbfmi:v:3:y:2017:i:1:p:78-92

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