Fermatean Fuzzy CODAS Approach with Topology and Its Application to Sustainable Supplier Selection

Abstract

A Fermatean fuzzy set (FFS) is a reliable method for representing uncertainty in “multi-criteria decision-making” (MCDM). This research seeks to examine the topological properties of FFSs and to establish the notion of “Fermatean fuzzy topology” (FFT). An FFT is the generalisation of existing fuzzy topologies. Several aspects of FFT are examined and various novel concepts are proposed, which include Fermatean fuzzy α-continuity between FFTSs and Fermatean fuzzy connectedness. To deal multiple challenges in sustainable supply chain management, a Fermatean fuzzy “combinative distance-based assessment” (CODAS) method was developed. The proposed FF CODAS technique involves various key features for MCDM. Firstly, a known reputation vector or equal expert weights is determined based on the reputation, experience and qualifications of the experts. Secondly, the Fermatean fuzzy direct rating approach is used to establish the relative relevance of criteria based on the expert group’s evaluation preferences. Thirdly, the Fermatean fuzzy CODAS approach is used to construct alternative orderings based on their assessment scores. Finally, an application is developed to show the benefit of the suggested supplier selection approach. Additionally, the symmetry of an optimal decision in application is carried out by a comparison analysis of the suggested models with some existing models.

Analysis of the Impact of Big Data and Artificial Intelligence Technology on Supply Chain Management

“…This could be due to a lack of information or general unfamiliarity with the topic. These advancements in technology have an impact on human deployment, as well as the management of supplies and purchases [37].…”

Sustainable Supplier Selection and Order Allocation Using an Integrated ROG-Based Type-2 Fuzzy Decision-Making Approach

“…Determine the ranking values of the composite WASPAS measures. This step employs Equations (10) to (23) (the proposed ROG-based ranking technique) to determine ranking values (S i ) for the composite WASPAS measurements of the alternatives (suppliers). These ranking values will be utilized as relative scores for suppliers in the evaluation and order allocation model.…”

“…It allows for a more flexible approach to decision-making, where criteria and weights are assigned based on linguistic variables [22]. Fuzzy MCDM is important for the evaluation and selection of sustainable suppliers for SCM because it can help to handle uncertainty and imprecision in the evaluation process [23]. Decision-makers may have different opinions and preferences regarding the importance of different criteria, and the criteria themselves may be vague and imprecise.…”

Generalization of Fermatean Fuzzy Set and Implementation of Fermatean Fuzzy PROMETHEE II Method for Decision Making via PROMETHEE GAIA

“…Kalaichelvan K [22] used fuzzy theory and machine learning for optimizing the economic order quantity. Farid H M A [23] applied the FF CODAS (Combinative Distance Based Assessment) approach to sustainable supplier selection, Gul M [24] used the FF TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) approach for occupational risk assessment in manufacturing, Mishra A R [25] used FF copula aggregation operators and similarity measures based complex proportional assessment approach for renewable energy source selection, Moreira M P [26] used PROMETHEE and fuzzy PROMETHEE multi criteria methods for ranking equipment failure modes, Zeng S [27] introduced integrated FF EDAS (Evaluation Based on Distance from Average Solution) in green supplier selection, and Akram M [28] used the Extended COPRAS method with linguistic FFSs and Hamy mean operators. Regarding other currently available multi-criteria analysis techniques for implementation, the PROMETHEE II method is a substantially simpler concept and is more user-friendly to apply to real-life problems.…”