A hierarchical interval outranking approach with interacting criteria

Fernández, Eduardo; Navarro, Jorge; Solares, Efrain

doi:10.1016/j.ejor.2021.06.065

Cited by 16 publications

(6 citation statements)

References 31 publications

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“…Interval numbers were used to simulate imprecise assessments. 189 projects were classified as acceptable by HI-INTERCLASS-nC (Fernández et al, 2022a). At portfolio level, twenty one elementary, non-elementary and conformity criteria were considered and optimized.…”

Section: Resultsmentioning

confidence: 99%

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A new method to project portfolio selection with multiple interacting criteria hierarchically structured

Fernández

Solares

Navarro

et al. 2022

Proceedings of MOL2NET'22, Conference on Molecular, Biomedical &Amp; Computational Sciences and Engineering, 8th Ed. - MOL2NET:

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Project portfolio selection is very complex. Often the multiple criteria used to assess projects are hierarchically structured and show interaction. Most of these criteria are also used at portfolio level to assess the supported projects as a whole; however, additional criteria must be considered to define the conformity of the decision maker with the portfolios. Here, we present a novel method to comprehensively address all the characteristics MOL2NET, 2022, 7,

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Section: Resultsmentioning

confidence: 99%

“…This is a multiple criteria ordinal classification statement. In this work, we use as fundamental tool the hierarchical interval outranking approach proposed by Fernández et al (2022a). This method allows:…”

Section: Methodsmentioning

confidence: 99%

A new method to project portfolio selection with multiple interacting criteria hierarchically structured

Fernández

Solares

Navarro

et al. 2022

Proceedings of MOL2NET'22, Conference on Molecular, Biomedical &Amp; Computational Sciences and Engineering, 8th Ed. - MOL2NET:

View full text Add to dashboard Cite

show abstract

“…The hierarchy can also ease the process for calculating the weights of criteria. Several methods have been proposed in solving the MCDM problems with a hierarchical criteria tree, for example, the multiple criteria hierarchy process (MHCP) for different MCDM methods (Corrente et al, 2012; Corrente, Greco, & Słowiński, 2013), AHP (Saaty & Vargas, 2012), hierarchical versions of the INTERCLASS method (Fernández, 2022), hierarchical multi‐attribute value function (Brownlow & Watson, 1987). In the future, a preprocessing framework that addresses hierarchical criteria structure problems could be developed.…”

Section: Discussionmentioning

confidence: 99%

“…for different MCDM methods (Corrente et al, 2012;, AHP (Saaty & Vargas, 2012), hierarchical versions of the INTERCLASS method (Fernández, 2022), hierarchical multi-attribute value function (Brownlow & Watson, 1987). In the future, a preprocessing framework that addresses hierarchical criteria structure problems could be developed.…”

Section: Limitations and Future Workmentioning

confidence: 99%

Criteria preprocessing in multi‐actor multi‐criteria analysis

Huang

Canoy

Brusselaers

et al. 2023

Multi Criteria Decision Anal

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Multi‐actor multi‐criteria analysis is a group decision‐making framework that allows multiple stakeholder groups to be involved in the decision‐making process, facilitating the understanding of the points of consensus and conflict among the stakeholder groups. Carefully selecting suitable criteria is important as they illustrate the possibly divergent priorities of the respective stakeholder group, and overlooking important criteria can lead to erroneous outcomes. Furthermore, the number of criteria needs specific consideration, as a too large number poses problems for human cognition, but a too small number inaccurately represents the stakeholder's interest. In stakeholder groups with many members, such as those representing citizens, defining a criteria set is likely to be even more complicated. Currently, there is no formal guideline to assist facilitators in defining these criteria sets. In this paper, we propose a novel framework for criteria preprocessing with stakeholder involvement that includes a guideline for firstly selecting criteria into a tentative list and secondly selecting the final criteria set. It provides a procedure on how to determine criteria considering the priorities of stakeholder groups with regard to the context. As a final step, we propose a mathematical model for selecting a number of criteria that are both cognitively manageable and representative for the participants' priorities. Based on the principles of the Pareto analysis, as well as the cognitive judgment theory “magic number seven plus or minus two”, a recommendation list of the criteria is generated. It prevents key criteria from being omitted while at the same time limiting the overall number of criteria. This framework is applied to a social decision‐making case for construction logistics, and the results are compared with the conventional approach of criteria definition.

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“…Frequent interactions between attributes in real decisionmaking problems [13][14][15], such as the correlation between the interior decoration and comfort of automobile products, promoted the interactive decision-making of criteria to become one of the important branches of multi-criteria decision-making [13][14][15]. Distortion of decision-making results can be caused by the information superposition effect between related criteria.…”

Section: Introductionmentioning

confidence: 99%

Pythagorean Fuzzy Bonferroni Mean with Weighted Interaction Operator and Its Application in Fusion of Online Multidimensional Ratings

Yang

Chen

et al. 2022

Int J Comput Intell Syst

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Aiming at the aggregation problem of online multi-attribute interactive ratings, a decision-making method based on Pythagorean Fuzzy Bonferroni mean with weighted interaction (PFWIBM) operator is developed by mining the advantages of ratings driven decision-making and the quantitative advantages of Pythagorean fuzzy sets on linguistic ratings. First, the shortcomings of existing operators in criterion interactive representation are analyzed, and the improved Bonferroni mean with weighted interaction and its dual operator are defined, which are used to aggregate the membership information and non-membership information under the Pythagorean fuzzy environment, respectively, and then the PFWIBM operator is constructed. Second, a generation method of interaction coefficients embedded in the PFWIBM operator is designed by combining expert knowledge and user ratings to overcome the limitations of the method of relying on subjective setting parameter values. Third, based on the proposed operator and the transformation relationship between Pythagorean fuzzy sets and linguistic ratings, an online multi-dimensional rating aggregation decision-making approach for solving product raking problems is developed. Finally, the proposed method is applied to a passenger car ranking example to show the feasibility of the method, and through some comparative analysis, the advantages of the proposed operator are clarified, and the influence of operator parameters on the decision-making results is analyzed.

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A hierarchical interval outranking approach with interacting criteria

Cited by 16 publications

References 31 publications

A new method to project portfolio selection with multiple interacting criteria hierarchically structured

A new method to project portfolio selection with multiple interacting criteria hierarchically structured

Criteria preprocessing in multi‐actor multi‐criteria analysis

Pythagorean Fuzzy Bonferroni Mean with Weighted Interaction Operator and Its Application in Fusion of Online Multidimensional Ratings

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