Weighted-selective aggregated majority-OWA operator and its application in linguistic group decision making

Yusoff, Binyamin; Merigó, José M.; Hornero, David Ceballos; Peláez, José Ignacio

doi:10.1002/int.22004

Cited by 10 publications

(5 citation statements)

References 29 publications

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“…Table 8, the best strategy for investment is given as for all values of , even though the rankings for are slightly different. Moreover, by using the median values based on the experimental studies carried out in [21], specifically for , and , we still get as the best strategy for investment. Analogously, with respect to and such in Tables 9 and 10, is consistently ranked as the best option.…”

Section: Resultsmentioning

confidence: 99%

“…There are some other families of MA-OWA which can be summarized as [21]: . This operator generalizes the other family of MA-OWA operators where it can be reduced to the SAM-OWA when and for , the SMA-OWA can be recovered.…”

Section: Majority Additive-owa Operatorsmentioning

confidence: 99%

“…. Then, for the purpose of this study, these data are converted into the crisp values using the transformation function such in [21]. Step 1:…”

Section: A Case Study: Investment Selection Strategymentioning

confidence: 99%

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TODIM under Group Decision Making based on Weighted Selective Aggregated Majority-OWA Operator

Rosli¹,

Yusoff²,

Taib³

et al. 2020

IJETT

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TODIM (an acronym in Portuguese for Interactive Multiple Criteria Decision Making) is one of the discrete MCDM methods whose fundamental feature is to compare alternatives with respect to each criterion in terms of gains and losses. The inclusion of risk behaviour of expert is one of its key advantages. TODIM was recently extended to deal with group decision making (GDM) problems. However, the collective decision in the existing method is merely based on the aggregation of experts with the main emphasis on full consensus measure. In this article, we propose an extension of TODIM under GDM based on the WSAM-OWA operator which generalizes the aggregation process to include the majority-based consensus measure. Under this operator, the majority and minority concepts can be integrated as to represent a collective decision to deal with the complex decision-making problems. Moreover, it provides the flexibility to significantly analyse the experts' judgments with different degree of importance. A numerical example in strategy investment selection problem was presented to illustrate the proposed method. Based on the analysis, the cardinality relevant factor (CRF) as a measure of partial consensus in TODIM-GDM has shown a significant impact on the final ranking.

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Section: Resultsmentioning

confidence: 99%

Section: Majority Additive-owa Operatorsmentioning

confidence: 99%

See 1 more Smart Citation

TODIM under Group Decision Making based on Weighted Selective Aggregated Majority-OWA Operator

Rosli¹,

Yusoff²,

Taib³

et al. 2020

IJETT

Self Cite

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“…These values are determined based on Formula (7). The following is an example of how to calculate the weights for the quantifier At least one (α = 0.0001), and n = 6, as several indicators should have the same weight, although Numbeo uses eight sub-indicators to calculate the quality of life [72,86,87]…”

Section: Methodsmentioning

confidence: 99%

Multiple Scenarios of Quality of Life Index Using Fuzzy Linguistic Quantifiers: The Case of 85 Countries in Numbeo

et al. 2022

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In economic development, in addition to comparing the gross domestic product (GDP) between nations, it is critical to assess the quality of life to gain a holistic perspective of their different aspects. However, the quality of life index (QOLI) is a subjective term that can be difficult to quantify. Although this composite index is typically calculated using universal weights proposed by experts to aggregate indicators, such as safety indexes, healthcare indexes, pollution indexes, and housing indicators, it is complicated to balance multiple dimensions whose weights are adjusted to account for different countries’ circumstances. Therefore, this paper aims to construct various scenarios of the QOLI, using linguistic quantifiers of the ordered weighted averaging (OWA) operator, and the 2-tuple linguistic model. Numbeo, one of the largest quality of life information databases, was used in this paper to estimate the QOLI in 85 countries. Uncertainty and sensitivity analyses were employed to assess the robustness of the QOLI. The results of the proposed model are compared with those obtained using the Numbeo formulation. The results show that the proposed model increases the linguistic interpretability of the QOLI, and obtains different QOLIs, based on diverse country contexts.

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“…One of the appealing points of the OWA operator is the notion of orness . The orness measure reflects the and‐like or or‐like aggregation result of an OWA operator, which is very important both in theory and practical applications . Liu proposed a general optimization model to obtain the consistency of OWA operator family by changing the orness level; however, one important observation regarding Yager's orness is the lack of categorization of orness and andness.…”

Section: Introductionmentioning

confidence: 99%

On the orness of Bonferroni mean and its variants

Figueira

Das

2019

Int J Intell Syst

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This article addresses orness measures to reflect the orlike degree of the Bonferroni mean (BM) and its variants. Some properties of these operators associated with their orness measures are portrayed analytically. However, the general orness measure involves the multiple integrals with the integral fold number being the number of the aggregated elements and as a result, the computation becomes complicated when the number of the aggregated elements is large. Furthermore, the analytical formula of the orness measure often cannot be obtained. For this reason, this study concentrates on Monte Carlo simulation to validate the result. We estimate the two parameters of the BM for a predefined orness value and a fixed length of the input vector. Besides the theoretical study of orness measure related to BM and its variants, the article also explores the simulation-based results. To support this, we provide four numerical examples. K E Y W O R D S aggregation operator, Bonferroni mean, decision-making, Monte Carlo simulation, orness measure

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Weighted-selective aggregated majority-OWA operator and its application in linguistic group decision making

Cited by 10 publications

References 29 publications

TODIM under Group Decision Making based on Weighted Selective Aggregated Majority-OWA Operator

TODIM under Group Decision Making based on Weighted Selective Aggregated Majority-OWA Operator

Multiple Scenarios of Quality of Life Index Using Fuzzy Linguistic Quantifiers: The Case of 85 Countries in Numbeo

On the orness of Bonferroni mean and its variants

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