A computational method for normalization of Trapezoidal Fuzzy Numbers

Abstract

In multi criteria decision making, if the judgments are expressed as fuzzy numbers, the normalization process is necessary in obtaining the rank of alternatives. Extent analysis method on Fuzzy Analytical Hierarchy Process is a popular decision making method introduced by D.Y. Chang (1996). This method was applied on various applications to obtain the rank of alternatives. The normalization method is to normalize Triangular Fuzzy Numbers, it has some flaws according to Wang and Elhag (2006). This paper presents the modified extent analysis method with accurate normalization procedure and an extent analysis method was introduced to find the weights of alternatives when the judgments are provided as Trapezoidal Fuzzy Numbers.

Cite as

G. Mahender Reddy, Sameena Afreen, V. Shyam Prasad, & Abdul Majeed. (2022). A computational method for normalization of Trapezoidal Fuzzy Numbers. Journal of Applied Mathematics and Statistical Analysis, 3(3), 1–5. https://doi.org/10.5281/zenodo.7110031