A Spherical Fuzzy Set Based Approach to the Job Sequencing Problem

Abstract: Job sequencing problems aim to find an optimal sequence of jobs, are fundamental in production and operations management. The optimal sequence helps to minimize objectives such as makespan, total tardiness, or flow time. Fuzzy set theory is considered better over classical theory as it handles vagueness more appropriately. These days, Spherical Fuzzy Numbers (SFNs) are gaining attention of researchers due to their ability to represent membership, non-membership and hesitancy simultaneously subject to a spherical constraint. In this paper sequencing problems are introduced in which processing times are taken as SFNs and a ranking based on score function is proposed for job prioritization. The proposed method is explained with the help of illustrative example.

Keywords: Job sequencing problem, Spherical fuzzy set, Spherical fuzzy numbers, membership function, non- membership function, hesitancy, score function.