Applications of neutrosophic set theory in an industry for the distribution of projects and its maple implementation

摘要

In this paper, we proposed the average composition relation method (ACRM) using the notion of neutrosophic set (NFS) operations and composition relations to identify the suitable contractors for allotment of projects. Identifying suitable contractors in any industry is not only based on bid price. Before allowing the bid price, we want to ensure the prequalification criteria, which affect non-price related factors like design, quality, time management, experience, and financial problems. We cannot measure these factors qualitatively in classical mathematics because it is imprecise, vague and uncertain in nature. The expectations of the selection of contractors and the project criteria are recorded via a neutrosophic set and the projects' allotment is effectively done in two stages. The proposed algorithm is validated through a case study. The implementation of the proposed algorithm in Maple is also discussed and sample computations are presented.