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

Authors: Bizuwork Derebew; P. Shanmugasundaram; Srinivasarao Thota

Addresses: Department of Mathematics and Statistics, College of Natural and Computational Sciences, Mizan Tepi University, Post Box No. 260, Mizan Tepi, Ethiopia ' Department of Mathematics and Statistics, College of Natural and Computational Sciences, Mizan Tepi University, Post Box No. 260, Mizan Tepi, Ethiopia ' Department of Mathematics, School of Sciences, SR University, Warangal, Telangana – 506371, India

Abstract: 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.

Keywords: neutrosophic sets; neutrosophic relations; composition relations; maple programming; fuzzy approach methods; distribution of projects in industry; applications of neutrosophic set theory; multi-criteria decision making.

DOI: 10.1504/IJCSM.2022.128651

International Journal of Computing Science and Mathematics, 2022 Vol.16 No.4, pp.377 - 388

Received: 06 Jan 2020
Accepted: 22 Sep 2020
Published online: 01 Feb 2023 *

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