A Novel Study On Defuzzification Using Centroids Of Centroid In Ranking Fuzzy Numbers With Fuzzy Operations

Abstract

In this study, the defuzzification technique for generalized hexagonal newlinefuzzy numbers (GHFNs), generalized hexagonal fuzzy numbers newlinewith varying heights, Trapezoidal Fuzzy Numbers (TFN) with newlinevarying heights, and parabolic trapezoidal fuzzy numbers (PTFN) that newlineconvert right into a crisp is elaborated. Defuzzification refers to the newlinetechnique of extracting a single number from the output of the fuzzy newlinenumber (FN). It is used to switch fuzzy inference performance into newlinecrisp value. A new ranking numbers has been explained and applied to newlineoptimization problems like assignment problems, LPP and FRA. It also newlinedemonstrated the effectiveness of our new ranking method in comparison newlineto other previously existing methods; this approach shortens newlinecomputation time more than others methods. newlineHexagonal fuzzy number with Constant left and right height and newlinesome of the authors defined Hexagonal fuzzy number with distinct left newlineand right height by including side slope. In thesis research, the various newlinevii newlineheights have been modified. A solution is derived in this paper since newlineassuming the height of all the hexagonal fuzzy numbers have been a newlinequestion in the entire situation. newlineThis research explains how to defuzzify quadrilateral fuzzy numbers newlineto transform them into crisp. A new ranking algorithm for generalized newlinequadrilateral fuzzy numbers is obtained in this research with newlinemain aim to provide a new method for evaluating fuzzy numbers newlinewhich is simple to understand. Also the rating techniques were numerically newlinedescribed. newlineNumerous academics have recently suggested various scoring newlinefunction formulae for PFNs based on the concept of mathematical expressions newlineand used to multi-attribute information DM issues. Although newlinethe positioning strategies for PFNs today vary and each has its own newlinebenefits, they also create new vulnerabilities while addressing the newlineshortcomings of previous strategies. The new ranking of Pythagorean newlinefuzzy numbers depending on membership and non-membership values newlineis presented in this study. newline newline