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The Fuzzy-Weighted Zero-Inconsistency (FWZIC) and Fuzzy-Decision-by-Opinion-Score-Method (FDOSM) are considered the recent advance methods. FDOSM generates a ranking for possible alternatives, while FWZIC produces a weight for criterion. Keeping up with the stream of academic publications on the FDOSM and FWZIC methods is complicated. This study aims to provide a comprehensive review of the literature on the latest advanced methods of MCDM in order to reorganize the findings of the previous literature and provide decisive evidence for ongoing research and future studies. Based on previous literature, the current study used the Prisma method to collect data from multiple databases such as IEEE Xplore®, ScienceDirect, and Web of Science. There were 45 papers discovered relevant to this subject; however, only 23 studies were relevant for the FDOSM & FWZIC study. The results included theoretical and practical implications. Theoretically, additions of new aggregation operators or usage of new fuzzy sets in the FDOSM & FWZIC model to solve the uncertainty problem are the key obstacles. Practically, agriculture and architectural fields are considered to be a hotspot of research. Finally, a number of potential points for future research to develop methods with high certainty and low ambiguity are presented. [ABSTRACT FROM AUTHOR] more...

The environmental, social, and economic challenges associated with the massive activities of the oil and gas industry require analysis and evaluation of companies' sustainability priorities. Evaluating the environmental performance of oil companies requires the application of strict mathematical tools and models that provide rigorous results. Multi-criteria decision-making (MCDM) is a rigorous tool that evaluates the performance and practices of oil and sustainable energy companies. However, classical multi-criteria decision analysis has problems related to inconsistency because of the subjective nature of pairwise comparisons. This study responded to the literature call by utilizing the weight fuzzy judgment method (WFJM) to determine the weight coefficients of criteria with zero consistency. Such a method employed criteria values and expert judgment for decision-making to create a bridge between the mathematical approach and the human approach. This study aims to develop a solid decision support system by evaluating and benchmarking 11 companies utilizing the fuzzy judgment method based on fuzzy theory and the VIekriterijumsko KOmpromisno Rangiranje (VIKOR) method to determine sustainability priorities for oil and gas companies. The oil companies' criteria were efficiently weighted by the fuzzy judgment method, and the organizational capabilities represented the greatest weight value of 0.128, whilst the low-weight criteria were the high costs of technologies at 0.080. Besides, the benchmarking results for oil companies revealed that COM 8 was the best, whilst COM 11 was the worst. The fuzzy judgment technique is a unique approach to solving complicated decision-making problems, and its influence can be significant. Furthermore, this method can be applied in sectors other than energy, including banking, medical services, and engineering, where decision-making is not straightforward and requires a systematic approach. [Display omitted] • We developed a novel method called the weight fuzzy judgment method (WJSM). • This study arised the decision matrix based on 9 main criteria and 11 alternatives. • This study evaluated oil and gas companies' sustainability behaviors. • A comparison analysis was conducted between WJSM and BWM methods. [ABSTRACT FROM AUTHOR] more...