Grey Best-Worst Method for Multiple Experts Multiple Criteria Decision Making Under Uncertainty

Mahmoudi, Amin; Mi, Xiaomei; Liao, Huchang; Feylizadeh, Mohammad Reza; Turskis, Zenonas

doi:10.15388/20-infor409

Cited by 31 publications

(27 citation statements)

References 50 publications

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“…In Equations 9 to 11, X is the problem decision vector, A (⊗) is the grey consumption matrix, C (⊗) is the grey price vector, and b (⊗) is the grey constraints vector. Equations 12 and 13 have represented the related vectors for C (⊗) and b (⊗), while matrix A (⊗) has been presented in Equation 14 (Mahmoudi, Mi, et al, 2020).

C (() \otimes) = {[C_{1} (\otimes) C_{2} (\otimes) \dots C_{n} (\otimes)]}^{T},

normalb (() \otimes) = {[{normalb}_{1} (\otimes) {normalb}_{2} (\otimes) \dots {normalb}_{normalm} (\otimes)]}^{T},

A (() \otimes) = ([], \begin{matrix} a_{11} (() \otimes) a_{11} (() \otimes) \dots a_{1 n} (() \otimes) \\ a_{21} (() \otimes) a_{11} (() \otimes) \dots a_{2 n} (() \otimes) \\ \dots \dots \dots \dots \\ a_{m 1} (() \otimes) a_{11} (() \otimes) \dots a_{mn} (()) \end{matrix}),

where:

c_{j} (\otimes) \in ([])

…”

Section: Grey System Theorymentioning

confidence: 99%

“…One of the purposes of the current study is addressing MCDM methods and uncertainty approaches to propose a suitable framework for the decision‐making process. Several MCDM methods have been proposed in recent decades based on different approaches include pairwise comparison‐based, distance‐based, and outranking‐based methods (Javed, Mahmoudi, & Liu, 2020; Mahmoudi, Mi, Liao, Feylizadeh, & Turskis, 2020). However, there are some obvious limitations in MCDM methods, which are shown in Figure 2 briefly.…”

Section: Introductionmentioning

confidence: 99%

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Sustainable Supplier Selection in Megaprojects: Grey Ordinal Priority Approach

et al. 2020

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Due to mounting environmental and social challenges, supplier selection has become one of the most critical tasks of project‐oriented organizations. Because supplier selection can affect the long‐term success and profitability of the organizations and their projects, directly, embracing sustainability can add value in the equation. Considering sustainability measures can positively guide project managers in making better decisions for the projects in the long term. Therefore, the current study attempts to provide a conceptual model for selecting the best supplier based on a sustainability framework in megaprojects. Meanwhile, decision‐making methods can be employed as a proper tool to find the best supplier. Ordinal priority approach (OPA) is a recent development in multiple criteria decision making (MCDM), while it has many benefits compared with other methods like analytic hierarchy process (AHP) and technique for order of preference by similarity to ideal solution (TOPSIS). However, this method cannot consider multiple ranks during the decision‐making process, and using an uncertainty approach feels strongly. Grey systems theory (GST) can consider uncertainties with no need for large sample or proposing membership function. Hence, the current study employed the GST to consider multiple ranks for criteria and alternatives in the OPA method. This is the first time that a sustainable supplier selection framework has been presented for megaprojects with the aid of the Grey OPA (OPA‐G) method. Finally, a case study has been examined to evaluate the performance of the proposed approach. The results show that the proposed approach can be used in real‐world situations and it has acceptable performance under uncertainty conditions.

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C (() \otimes) = {[C_{1} (\otimes) C_{2} (\otimes) \dots C_{n} (\otimes)]}^{T},

normalb (() \otimes) = {[{normalb}_{1} (\otimes) {normalb}_{2} (\otimes) \dots {normalb}_{normalm} (\otimes)]}^{T},

A (() \otimes) = ([], \begin{matrix} a_{11} (() \otimes) a_{11} (() \otimes) \dots a_{1 n} (() \otimes) \\ a_{21} (() \otimes) a_{11} (() \otimes) \dots a_{2 n} (() \otimes) \\ \dots \dots \dots \dots \\ a_{m 1} (() \otimes) a_{11} (() \otimes) \dots a_{mn} (()) \end{matrix}),

where:

c_{j} (\otimes) \in ([])

…”

Section: Grey System Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Sustainable Supplier Selection in Megaprojects: Grey Ordinal Priority Approach

et al. 2020

Self Cite

View full text Add to dashboard Cite

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“…That is why the MCDM methods are invented. A significant part of the methods is invented in the previous century e.g., [1][2][3], but their wide application and-sometimes-their imperfections push the scientist to invent the new MCDM methods or modify existing ones e.g., [4][5][6][7][8]. Table 1 summarizes state-of-the-art on the variety of MCDM methods (concerning mainly the problems met in the construction industry and related ones as transport, logistics).…”

Section: Introductionmentioning

confidence: 99%

“…It was used in 18 analysed articles. The MCDM analysis becomes more complex when uncertainty issues are considered [4,60]. The construction industry is a specific one.…”

Section: Introductionmentioning

confidence: 99%

Pareto Optimal Decisions in Multi-Criteria Decision Making Explained with Construction Cost Cases

et al. 2020

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In multi-criteria decision-making (MCDM) problems the decision-maker is often forced to accept a not ideal solution. If the ideal choice exists, it would be certainly chosen. The acceptance of a non- ideal solution leads to some inadequate properties in the chosen solution. MCDM methods help the decision-maker to structure his needs considering different units, in which the properties of the solutions are expressed. Secondly, with MCDM tools the assessment of the available solutions can be calculated with consideration of the decision-maker’s needs. The incorporation of the cost criterion into the decision maker’s preferences calculation, and the solution assessment calculation, deprives the decision-maker of the ability to calculate the financial result of the decision he must make. A new multi-criteria decision making with cost criterion analysed at the final stage (MCDM-CCAF) method is developed based on principle of Pareto optimal decisions. It is proposed to exclude the cost criterion from the MCDM analysis and consider it at the final phase of the decision-making process. It is illustrated by example solutions with consideration of cost criterion and without it. It is proposed to apply the invented post-processing method to all MCDM analyses where the cost criterion of analysed variants is considered.

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“…Rani et al 23 established a new concept of extended pythagorean fuzzy TOPSIS method based on similarity measure for sustainable recycling partner selection. A grey best‐worst method is developed by Mahmoudi et al 24 for multiple expert multicriteria decision making problems that can employ grey linguistic variable as input data to cover the uncertainty. A new notion of generalized Z‐number with hesitant fuzzy linguistic information are developed and applied for medicine selection of the patients suffering with mild symptoms of the COVID‐19 25 …”

Section: Introductionmentioning

confidence: 99%