Investigation of the aggregation effectiveness of expert estimates obtained by the pairwise comparison method

Tsyganok, Vitaliy

doi:10.1016/j.mcm.2010.03.052

Cited by 42 publications

(31 citation statements)

References 5 publications

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“…• it proves to be an effective aggregation tool (in comparison to other aggregation methods), when it comes to group decision making, as shown in (Tsyganok, 2010);…”

Section: Methodology Description: Phases and Steps Of Problem Solutionmentioning

confidence: 99%

“…If an expert finds it confusing to mix several scales while evaluating one and the same set of objects, he or she is free to provide all the estimates in the same scale.To derive priorities from pair‐wise comparison matrices, we suggest using the combinatorial approach, described in Tsyganok () and mentioned in Tsyganok et al (). The reasons are as follows: combinatorial method utilizes the redundancy of expert information most thoroughly; it proves to be an effective aggregation tool (in comparison to other aggregation methods), when it comes to group decision making, as shown in (Tsyganok, ); it can be used for incomplete pair‐wise comparison matrices as well as for complete ones; it can be used for aggregation of expert estimates, provided in scales with different numbers of grades; it involves a single‐phase priority vector calculation (in contrast to two‐phase procedures of aggregation of judgements [AIJ] and aggregation of priorities [AIP], described, for instance, in Forman and Peniwati, ). As a result, it allows us to organize a step‐by‐step consistency or compatibility improvement process through feedback with experts (if consistency and compatibility levels are considered insufficient for aggregation of estimates and deriving of the priority vector).…”

Section: Methodology Description: Phases and Steps Of Problem Solutionmentioning

confidence: 99%

“…As it has been shown, for instance, in Olenko and Tsyganok (), spectral consistency coefficient Kc , suggested in Zgurovsky et al (), has drawbacks. Olenko and Tsyganok () provide an approach, allowing to eliminate these drawbacks.The essence of spectral approach is as follows: for every spanning tree (basic set of pair comparisons; Tsyganok, ), we calculate weights of alternatives (using any of available ways); for every alternative, we obtain a spectrum of weights rounded to discrete scale (see Figure ). In this figure, r i is the number of priorities (weights) that can be rounded to the same values.…”

Section: Methodology Description: Phases and Steps Of Problem Solutionmentioning

confidence: 99%

“…To derive priorities from pair-wise comparison matrices, we suggest using the combinatorial approach, described in Tsyganok (2010) and mentioned in Tsyganok et al (2015). The reasons are as follows:…”

Section: Methodology Description: Phases and Steps Of Problem Solutionmentioning

confidence: 99%

See 3 more Smart Citations

Usage of multicriteria decision‐making support arsenal for strategic planning in environmental protection sphere

Tsyganok

Kadenko

Andriychuk

et al. 2017

Multi Criteria Decision Anal

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This paper outlines an approach to strategic planning, based on decision‐making support methods. It provides a description of a step‐by‐step procedure, allowing the decision maker to build a strategy, targeted at solution of some weakly structured problem or at achievement of some complex goal, influenced by multiple tangible and intangible criteria. Criteria are formulated by experts and arranged into a hierarchy, as prescribed by the analytic hierarchy process. Relative weights of criteria are calculated on the basis of expert estimates, using the combinatorial approach, which is, in a way, an extension of analytic hierarchy process toolkit. In the context of this paper, a strategy is defined as the optimal way of currently available resource distribution among specific factors or projects, which influence the main goal of a strategic plan. Each project is characterized by certain funding volume constraints (minimum and maximum resource amounts) as well as time frames (launching and completion or termination dates). As an example of implementation of our approach, we consider a case of resource distribution among environmental projects.

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“…• it proves to be an effective aggregation tool (in comparison to other aggregation methods), when it comes to group decision making, as shown in (Tsyganok, 2010);…”

Section: Methodology Description: Phases and Steps Of Problem Solutionmentioning

confidence: 99%

Section: Methodology Description: Phases and Steps Of Problem Solutionmentioning

confidence: 99%

Section: Methodology Description: Phases and Steps Of Problem Solutionmentioning

confidence: 99%

Section: Methodology Description: Phases and Steps Of Problem Solutionmentioning

confidence: 99%

See 2 more Smart Citations

Usage of multicriteria decision‐making support arsenal for strategic planning in environmental protection sphere

Tsyganok

Kadenko

Andriychuk

et al. 2017

Multi Criteria Decision Anal

Self Cite

View full text Add to dashboard Cite

show abstract

“…Based on this strength the business analyst can builds a semantic model and then they can use the inference capability of the logical platform to facilitate assessment on any situation, decision making or knowledge discovery. In [21] appears an state-of-theart overview on aggregation theory based on fuzzy logic, also in [22][23][24] is showed the aggregation methods approach. We propose in this research the use the aforementioned methods to define the indicators in the BSC cascade based on best practice frameworks for IT service management such as COBIT and ITIL.…”

Section: Related Wordmentioning

confidence: 99%

Architecture for Business Intelligence Design on the IT Service Management Scope

Ortega

Lorences

Marx-Gómez

2013

Intelligent Systems Reference Library

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In the present research we propose new business intelligence architecture to support the IT balanced scorecard cascade based on the integration of business and technological domains for the IT service management. This paper presents some preliminary results on the state of the art analysis on the topics: IT BSC, business intelligence, and aggregation methods based on the fuzzy logic operators to build management indicators. The main contributions are: new architecture for business intelligence design, an aggregation method to design new indicators based on the statistic and compensatory fuzzy logic approach taking into account as sources the indicators defined in the COBIT and ITIL frameworks. As the first result we define a new IT BSC for the Cuban enterprise.

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Significance of the order of pair‐wise comparisons in Analytic Hierarchy Process: an experimental study

Andriichuk,

Kadenko,

Tsyganok

2024

Multi Criteria Decision Anal

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The article describes an approach, ensuring higher credibility of expert estimation results, based on specific order of pair‐wise comparisons. The order of pair‐wise comparisons is, in its turn, based on the distance between estimated objects in the ranking. According to the suggested approach (and some human psychophysiological features), the most ordinally distant objects should be compared before ordinally closer ones. In order to empirically confirm this assumption, a special experiment involving real experts has been conducted. The results of the experiment indicate that if objects are presented to the expert for comparison in the suggested order, then in the majority of cases relative weights of objects, obtained using eigenvector method, most adequately reflect this expert's priorities. Moreover, pair‐wise comparison matrices constructed using the suggested comparison order tend to be slightly more consistent. The suggested approach to re‐ordering of pair‐wise comparisons can be applied as part of the AHP algorithm in weakly structured subject domains, influenced by multiple intangible criteria. It also provides conceptual basis for reduction of the number of pair‐wise comparisons, required to obtain credible results, in AHP without loss or distortion of expert data. It can also be used for modification of combinatorial pair‐wise comparison aggregation method, based on spanning tree enumeration. And, finally, it will improve the overall multi‐criteria decision‐making process in diverse subject domains, characterized by high uncertainty levels.

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Investigation of the aggregation effectiveness of expert estimates obtained by the pairwise comparison method

Cited by 42 publications

References 5 publications

Usage of multicriteria decision‐making support arsenal for strategic planning in environmental protection sphere

Usage of multicriteria decision‐making support arsenal for strategic planning in environmental protection sphere

Architecture for Business Intelligence Design on the IT Service Management Scope

Significance of the order of pair‐wise comparisons in Analytic Hierarchy Process: an experimental study

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