Methodology for integrated multicriteria decision-making with uncertainty: Extending the compromise ranking method for uncertain evaluation of alternatives

Juanpera, Marc; Domenech, Bruno; Ferrer‐Martí, Laia; García‐Villoria, Alberto; Pastor, Rafael

doi:10.1016/j.fss.2021.08.008

Cited by 20 publications

(14 citation statements)

References 82 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Multicriteria group decision making (MCGDM) is one of the most important human activities [ 1 – 6 ]. Due to the complexity and vagueness of information in group decision making, however, it is usually difficult for decision makers to evaluate the alternatives by crisp numerical values [ 7 , 8 ].…”

Section: Introductionmentioning

confidence: 99%

Picture Fuzzy Einstein Hybrid-Weighted Aggregation Operator and Its Application to Multicriteria Group Decision Making

Cao

2022

Computational Intelligence and Neuroscience

View full text Add to dashboard Cite

As an extension of intuitionistic fuzzy sets (IFSs), picture fuzzy sets (PFSs) can better model and represent the hesitancy and uncertainty of decision makers’ preference information. In this study, we propose a multicriteria group decision making (MCGMD) method based on picture fuzzy sets. We first define some basic picture Einstein operations with closed properties among PFSs on the basis of the Einstein t-norms and t-conorms. Then, utilizing the hybrid-weighted operator and the developed picture Einstein operations laws, we put forward a picture fuzzy Einstein hybrid-weighted aggregation operator for aggregating PFSs and discuss its several important properties. Furthermore, we present a new MCGMD method based on the proposed picture fuzzy Einstein hybrid-weighted aggregation operator. Finally, an example is conducted to validate the effectiveness of the proposed MCGMD method.

show abstract

Section: Introductionmentioning

confidence: 99%

Picture Fuzzy Einstein Hybrid-Weighted Aggregation Operator and Its Application to Multicriteria Group Decision Making

Cao

2022

Computational Intelligence and Neuroscience

View full text Add to dashboard Cite

show abstract

“…selected criteria [14]. The best alternative will be the one with the lower distance to the ideal solution, which is an utopian solution that performs optimally (achieving the best evaluations) for all the criteria considered [7]. In particular, MIMDU includes a fuzzy version of the CRM (F-CRM), represented in Eqs.…”

Section: Sure (S) 15%mentioning

confidence: 99%

“…Thus, each FN is represented as a sequence of a discrete number of intervals for different cuts (from the bottom α =0, to the top α =1) according to different values of α. The reader is referred to [7] for an exhaustive explanation of the α-cut arithmetic.…”

Section: Sure (S) 15%mentioning

confidence: 99%

See 1 more Smart Citation

Perspective Chapter: A Novel Method for Integrated Multicriteria Decision-Making with Uncertainty – A Case Study on Sustainable Agriculture in Colombia

Juanpera¹,

Ferrer‐Martí²,

Garfí³

et al. 2023

Business, Management and Economics

View full text Add to dashboard Cite

Multicriteria decision-making usually requires a set of experts to evaluate the importance of selected criteria and the adequacy of feasible alternatives according to the criteria. Uncertainty can arise in these evaluations, since experts can be hesitant about their responses due to the difficulty of quantifying human language or lack of required knowledge. The Methodology for Integrated Multicriteria Decision-making with Uncertainty (MIMDU) tackles both factors of uncertainty by using non-predefined fuzzy numbers that are continuously adapted taking into account the level of confidence of the experts’ opinions. The methodology also offers useful and complementary information to lead to a robust decision-making. This chapter proposes a novel methodology and provides a sample use case to demonstrate its capability to model uncertainty during decision-making process. In particular, a sensitivity analysis is included, which demonstrates (i) how uncertainty is incorporated into alternatives evaluation, and (ii) that the integrated multicriteria decision-making with uncertainty can be more reliable for decision-makers. The methodology is applied to the robust selection of the most sustainable technology to improve agriculture efficiency in rural areas by means of a case study of a low-cost biogas digester in a small-scale farm in Colombia.

show abstract

“…Thus, multicriteria decision support tools are needed to assess and design these solutions [8]. Moreover, uncertainty can arise when ranking and selecting the best alternative for a particular case [24], since the relative importance of one criterion in front of another may not be clear [25], and its evaluation may be difficult to quantify [26]. For example, it might be difficult to assess how much more or less important is the criterion "cost" compared to the criterion "ease of maintenance", since both might compromise the sustainability of the project but at a different phase or intensity.…”

Section: Introductionmentioning

confidence: 99%

A robust multicriteria analysis for the post-treatment of digestate from low-tech digesters. Boosting the circular bioeconomy of small-scale farms in Colombia

Juanpera

Ferrer‐Martí

Díez-Montero

et al. 2022

Renewable and Sustainable Energy Reviews

Self Cite

View full text Add to dashboard Cite

Methodology for integrated multicriteria decision-making with uncertainty: Extending the compromise ranking method for uncertain evaluation of alternatives

Cited by 20 publications

References 82 publications

Picture Fuzzy Einstein Hybrid-Weighted Aggregation Operator and Its Application to Multicriteria Group Decision Making

Picture Fuzzy Einstein Hybrid-Weighted Aggregation Operator and Its Application to Multicriteria Group Decision Making

Perspective Chapter: A Novel Method for Integrated Multicriteria Decision-Making with Uncertainty – A Case Study on Sustainable Agriculture in Colombia

A robust multicriteria analysis for the post-treatment of digestate from low-tech digesters. Boosting the circular bioeconomy of small-scale farms in Colombia

Contact Info

Product

Resources

About