A Fermatean Fuzzy Decision-Making Model for Manufacturing Outsourcing Vendor Selection: An Improved Combined Compromise Solution Method

Abhijit  Saha; Prasenjit Chatterjee

doi:10.31181/smeor21202544

Authors

Abhijit Saha Department of Computing Technologies, SRM Institute of Science and Technology (SRMIST), Tamil Nadu, India Author https://orcid.org/0000-0001-5765-6922
Prasenjit Chatterjee Department of Mechanical Engineering, MCKV Institute of Engineering, West Bengal, India Author https://orcid.org/0000-0002-7994-4252

DOI:

https://doi.org/10.31181/smeor21202544

Keywords:

Manufacturing outsourcing vendors, Fermatean fuzzy sets, Improved CoCoSo, Consensus reaching, Group decision-making

Abstract

Selecting the most suitable manufacturing outsource vendors (MOVs) is crucial, as these decisions significantly influence organizational performance, environmental sustainability, and resilience to disruptions. However, the evaluation process often involves subjective judgments, which can introduce uncertainty and inconsistency. To address this problem, this study adopts the improved Combined Compromise Solution (CoCoSo) method, enhanced with Fermatean fuzzy logic, as a consensus-driven decision-making framework. To further improve accuracy, Fermatean fuzzy Generalized Dombi weighted aggregation operators are employed. Criteria weights are determined using dispersion measures and cross-entropy techniques. The application of the proposed method is demonstrated through a case study involving a precision gearbox manufacturing company. Among the evaluated criteria, carbon emission reduction, waste recycling rate, and on-time delivery rate are identified as the most critical, with respective weights of 0.3160, 0.1254, and 0.1254. Of the four candidate MOVs (A1, A2, A3, and A4), vendor A4 is ranked highest with a utility score of 1.96145. A comparative analysis confirms the superior performance of the proposed approach compared to alternative decision-making models.

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