Title: Arithmetic operations of trapezoidal fuzzy variable using credibility theory

Authors: Totan Garai; Dipankar Chakraborty; Tapan Kumar Roy

Addresses: Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah – 711103, West Bengal, India ' Department of Mathematics, Heritage Institute of Technology, Anandapur, Kolkata-700107, West Bengal, India ' Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah – 711103, West Bengal, India

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.

DOI: 10.1504/IJBFMI.2017.082550

International Journal of Business Forecasting and Marketing Intelligence, 2017 Vol.3 No.1, pp.78 - 92

Received: 17 Nov 2016
Accepted: 09 Dec 2016
Published online: 28 Feb 2017 *

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