A projection method for multiple attribute group decision making with probabilistic linguistic term sets

Zhang, Xiaofang; Gou, Xunjie; Zhang, Xu; Liao, Huchang

doi:10.1007/s13042-018-0886-6

Cited by 27 publications

(20 citation statements)

References 33 publications

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“…The main advantage of our method was the consideration of the dominance flow and the unknown weights, which indicates that our method is valid for managing actual decision-making issues. However, in our method, the dominance flow is simply derived using the difference value between score results, which will lead to information loss; thus, in the future, we shall continue to study the MAGDM issues with our developed method and find a more suitable way to describe the dominance flow in other decision-making domains [ 65 , 66 , 67 , 68 , 69 , 70 ].…”

Section: Discussionmentioning

confidence: 99%

Entropy-Based GLDS Method for Social Capital Selection of a PPP Project with q-Rung Orthopair Fuzzy Information

Liu

Wei

et al. 2020

Entropy

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The social capital selection of a public–private-partnership (PPP) project could be regarded as a classical multiple attribute group decision-making (MAGDM) issue. In this paper, based on the traditional gained and lost dominance score (GLDS) method, the q-rung orthopair fuzzy entropy-based GLDS method was used to solve MAGDM problems. First, some basic theories related to the q-rung orthopair fuzzy sets (q-ROFSs) are briefly reviewed. Then, to fuse the q-rung orthopair fuzzy information effectively, the q-rung orthopair fuzzy Hamacher weighting average (q-ROFHWA) operator and q-rung orthopair fuzzy Hamacher weighting geometric (q-ROFHWG) operator based on the Hamacher operation laws are proposed. Moreover, to determine the attribute weights, the q-rung orthopair fuzzy entropy (q-ROFE) is proposed and some significant merits of it are discussed. Next, based on the q-ROFHWA operator, q-ROFE, and the traditional GLDS method, a MAGDM model with q-rung orthopair fuzzy information is built. In the end, a numerical example for social capital selection of PPP projects is provided to testify the proposed method and deliver a comparative analysis.

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Section: Discussionmentioning

confidence: 99%

Entropy-Based GLDS Method for Social Capital Selection of a PPP Project with q-Rung Orthopair Fuzzy Information

Liu

Wei

et al. 2020

Entropy

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“…Step 3. Utilize Equations (16) and (17) to compute the deviation degrees between each alternative and the PIS L(p) * and NIS L(p) # , respectively: (17) Step 4. Derive the closeness index CI(x i ) of each alternative x i ∈ X(i = 1, 2, • • • , 4):…”

Section: Comparative Analysismentioning

confidence: 99%

“…Many scholars also extended some classic decision-making methods to PLTS situations, and explored their usefulness in decision making areas [1,[8][9][10][11][12][13][14][15]. Several scholars have successfully explored the application of the technique for order of preference by similarity to ideal solution (TOPSIS) in the PLTS environment [1,[16][17][18].…”

Section: Introductionmentioning

confidence: 99%

A Probabilistic Linguistic Multiple Attribute Decision Making Based on a New Correlation Coefficient Method and its Application in Hospital Assessment

Luo

Zeng

2020

Mathematics

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The probabilistic linguistic term set (PLTS) is a newly emerging mathematical tool for handling uncertainties. It is considered a useful extension of linguistic term sets associated with probability information and can improve the effectiveness of multiple attribute decision making (MADM). This paper proposes a new PLTS correlation coefficient and addresses its usefulness in MADM problems. For achieving this aim, some new concepts of mean, variance, and covariance of the PLTS are first proposed. Moreover, a novel PLTS Pearson correlation coefficient is defined to overcome the shortcomings of the existing methods, whose significant feature is that it lies in the interval [−1,1], which makes it more effective in reflecting the negative and positive correlation between PLTSs. A weighted PLTS Pearson correlation coefficient is further defined to consider the importance of attribute weights and expand the scope of application. Then, a relative PLTS closeness coefficient is constructed based on the developed Pearson correlation coefficient, and based on which, a Pearson correlation-based TOPSIS (technique for order of preference by similarity to ideal solution) approach for MADM problems is developed. Finally, the effectiveness as well as the applicability of the developed method are illustrated through numerical examples and comparative analysis.

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“…For example, Pang et al (2016) presented a distance-based extended TOPSIS method with PLTSs. Zhang X.F. et al (2019) argued that this extended TOPSIS only considered the distance proximity of alternatives with respect to ideal and negative ideal solutions, while ignored the proximity in direction.…”

Section: Introductionmentioning

confidence: 99%

“…et al (2019) argued that this extended TOPSIS only considered the distance proximity of alternatives with respect to ideal and negative ideal solutions, while ignored the proximity in direction. In response to this problem, Zhang X.F. et al (2019) developed a projection method to solve MAGDM with PLTSs.…”

Section: Introductionmentioning

confidence: 99%

An Entropy-Based Method for Probabilistic Linguistic Group Decision Making and its Application of Selecting Car Sharing Platforms

Xu¹,

Wan²,

Dong³

2020

Informatica

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As the tourism and mobile internet develop, car sharing is becoming more and more popular. How to select an appropriate car sharing platform is an important issue to tourists. The car sharing platform selection can be regarded as a kind of multi-attribute group decision making (MAGDM) problems. The probabilistic linguistic term set (PLTS) is a powerful tool to express tourists' evaluations in the car sharing platform selection. This paper develops a probabilistic linguistic group decision making method for selecting a suitable car sharing platform. First, two aggregation operators of PLTSs are proposed. Subsequently, a fuzzy entropy and a hesitancy entropy of a PLTS are developed to measure the fuzziness and hesitancy of a PLTS, respectively. Combining the fuzzy entropy and hesitancy entropy, a total entropy of a PLTS is generated. Furthermore, a cross entropy between PLTSs is proposed as well. Using the total entropy and cross entropy, DMs' weights and attribute weights are determined, respectively. By defining preference functions with PLTSs, an improved PL-PROMETHEE approach is developed to rank alternatives. Thereby, a novel method is proposed for solving MAGDM with PLTSs. A car sharing platform selection is examined at length to show the application and superiority of the proposed method.

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A projection method for multiple attribute group decision making with probabilistic linguistic term sets

Cited by 27 publications

References 33 publications

Entropy-Based GLDS Method for Social Capital Selection of a PPP Project with q-Rung Orthopair Fuzzy Information

Entropy-Based GLDS Method for Social Capital Selection of a PPP Project with q-Rung Orthopair Fuzzy Information

A Probabilistic Linguistic Multiple Attribute Decision Making Based on a New Correlation Coefficient Method and its Application in Hospital Assessment

An Entropy-Based Method for Probabilistic Linguistic Group Decision Making and its Application of Selecting Car Sharing Platforms

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