New Operations for Linear Pentagonal Fuzzy Numbers

Abstract

Fuzzy predicates as pentagonal fuzzy variable increases the precision and considered to be more appropriate and effective translational fuzzy set model in characterizing decision variables. This paper aims at revisiting the theoretical developments on pentagonal fuzzy variable along with the existing operational properties. Also, the algebraic properties for linear symmetric pentagonal fuzzy number have been introduced with suitable illustrations. Further, the significance of proposed algebraic properties in the decision-making models has been discussed with numerical illustration.