Deriving priorities from pairwise comparison matrices with a novel consistency index

Liu, Fang; Zou, Shu-Cai; Li, Qing

doi:10.1016/j.amc.2020.125059

Cited by 13 publications

(3 citation statements)

References 47 publications

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“…Thirdly, the consistency of the weighting value assessment-Saaty's consistency ratio (CR), as quoted in [37]-was assessed. The CR is a comparison of the consistency index (CI) with a random index (RI) value, as follows:…”

Section: Cfr-new Methodsmentioning

confidence: 99%

Urban Coastal Flood-Prone Mapping under the Combined Impact of Tidal Wave and Heavy Rainfall: A Proposal to the Existing National Standard

Sutrisno

Rahadiati

Rudiastuti

et al. 2020

IJGI

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The drivers for coastal flooding may vary from extremely high intensity and persistent rainfall, morphological factors of the coastal area, to extreme waves from the ocean. This means that the flood vulnerability of a coastal area does not solely depend on a single driver but can be a combination with others. A national standard for coastal flooding based on rainfall drivers has been developed. As an evaluation, this study aimed to develop a method for coastal flood-prone mapping by combining rainfall with tidal waves. The steps included the assessment of the coastal flood-prone areas driven by rainfall (CFR) and the coastal flood-prone areas by combined drivers (CFC), which was developed by employing the analytic hierarchy process (AHP), spatial-overlaid, weighted-scored, and logical tests. The coastal area of Mataram City on the Island of Lombok in Indonesia was selected as the study area, since it is frequently affected by flooding. The findings determined the essentiality of the CFC method for identifying flood vulnerability areas. Thus, the minimum standard for CFC parameters can be defined with climatic and land characteristic factors. Further, the findings also identified the need for expert judgment in the development of the CFC weighted score-based method.

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Section: Cfr-new Methodsmentioning

confidence: 99%

Urban Coastal Flood-Prone Mapping under the Combined Impact of Tidal Wave and Heavy Rainfall: A Proposal to the Existing National Standard

Sutrisno

Rahadiati

Rudiastuti

et al. 2020

IJGI

View full text Add to dashboard Cite

show abstract

“…To form a statistical evaluation of the correct execution of the AHP method, the consistency index (CI) was used [37]. In this index, the value of λ represents the maximum eigenvalue of the matrix and n the size of the matrix itself:…”

Section: Statistical Verification Of Consistencymentioning

confidence: 99%

Application of a Quality-Specific Environmental Risk Index for the Location of Hives in Areas with Different Pollution Impacts

et al. 2023

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Honeybees and hive products have long been recognized as excellent bio-indicators, as they provide valuable information on the state of the environments concerned. As yet, however, no tool is capable of contextually assessing the level of pollution of different environmental matrices in order to create maps of areas in which to place hives. In this paper, a possible method of creating a regional map to support the implementation of targeted monitoring plans on beekeeping is described. We obtained and identified related-activity pressure factors, which were subsequently combined by means of a multi-criteria approach through the analytic hierarchy process method (AHP). The different levels used were drawn up by first attributing qualitative values; these were converted into quantitative values through scoring elaborations and pair comparisons and then elaborated and standardized by means of different techniques in order to create an index with a spatial distribution of five risk classes throughout the region. To verify the correct execution of the procedure, a consistency ratio method was implemented on this index and validated the reliability of the application as the main source of information for sampling activities on beekeeping products. Creation of the specific environmental risk index enabled us to construct a map displaying the areas of greatest impact on beekeeping activities and a representation of the cumulative effects generated by the different pollutants in the air, water, soil and subsoil compartments. This index may, therefore, constitute an essential tool to support beekeepers in choosing sites for their apiaries.

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“…The concept of acceptable consistency was proposed by Saaty for a multiplicative pairwise comparison matrix [14]. Recently, the idea in [14] was developed by considering the percentage of the values of the consistency index in [51]. The percentage 22.086% corresponds to the threshold 0.1 of the consistency ratio in [14].…”

Section: A Novel Additive Consistency Indexmentioning

confidence: 99%

A consensus building model in group decision making with non-reciprocal fuzzy preference relations

Liu

Chen

2022

Complex Intell. Syst.

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Group decision making (GDM) is a wisdom extracting process where a group of decision makers (DMs) could reach a consensus on the optimal solution to the choice problem with a finite set of alternatives. This paper reports a consensus model in GDM, where the opinions of experts are expressed as fuzzy preference relations (FPRs) without additively reciprocal property to cope with the existing uncertainty. The concept of non-reciprocal fuzzy preference relations (NrFPRs) is proposed to capture the considered situation. A novel additive consistency index is constructed to quantify the inconsistency degree of NrFPRs using the relationship of two column/row vectors. An optimization model is constructed, where a new fitness function is proposed by considering the consistency degrees of NrFPRs and the consensus level of a group of experts. A novel concept of acceptable consensus standard is proposed to characterize the acceptance of the consensus process. The particle swarm optimization (PSO) algorithm is utilized to solve the constructed optimization problem. As compared to the existing models, numerical results show that the proposed model can be used to effectively reach an optimal solution to a GDM problem with NrFPRs.

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Deriving priorities from pairwise comparison matrices with a novel consistency index

Cited by 13 publications

References 47 publications

Urban Coastal Flood-Prone Mapping under the Combined Impact of Tidal Wave and Heavy Rainfall: A Proposal to the Existing National Standard

Urban Coastal Flood-Prone Mapping under the Combined Impact of Tidal Wave and Heavy Rainfall: A Proposal to the Existing National Standard

Application of a Quality-Specific Environmental Risk Index for the Location of Hives in Areas with Different Pollution Impacts

A consensus building model in group decision making with non-reciprocal fuzzy preference relations

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