Title: Fuzzy weak autocatalytic set for decision making and its application to the project manager selection

Authors: Siti Salwana Mamat; Siti Rahmah Awang; Tahir Ahmad

Addresses: Centre of Foundation Studies, Universiti Teknologi MARA, Cawangan Selangor, Kampus Dengkil, Selangor, Malaysia ' Faculty of Management, Universiti Teknologi Malaysia, Johor, Malaysia ' Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Johor, Malaysia

Abstract: In decision-making procedures, the comparison of alternatives is often necessary to determine the most suitable option among a set of choices. One commonly used approach is pairwise comparison, where each alternative is compared to every other alternative based on certain criteria. FWACS method offers a way to represent the pairwise comparisons of alternatives as a directed graph with fuzzy edges. The FWACS is a technique used to address problems involving multiple criteria. In this study, a new ranking approach using FWACS is implemented on a previously published MCDM problem. The purpose of this implementation is to showcase the effectiveness of the FWACS method in addressing decision problems that involve multiple criteria.

Keywords: fuzzy weak autocatalytic set; FWACS; decision making; project manager selection; ranking; graph theory.

DOI: 10.1504/IJMOR.2025.144550

International Journal of Mathematics in Operational Research, 2025 Vol.30 No.1, pp.63 - 80

Received: 24 Jun 2023
Accepted: 14 Jul 2023
Published online: 19 Feb 2025 *

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