A Regret-Based Three-Way Decision Model Under Interval Type-2 Fuzzy Environment

Wang, Tianxing; Li, Huaxiong; Qian, Yuhua; Huang, Bing; Zhou, Xianzhong

doi:10.1109/tfuzz.2020.3033448

Cited by 97 publications

(6 citation statements)

References 69 publications

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“…To further illustrate the superiority of the proposed model, we select Jia and Liu's method [20], Gao et al's method [13], and Wang et al's method [56] for comparison. These three methods are first applied to the example in this section to obtain the classification results, which are listed in Table 21.…”

Section: Comparison Between the Proposed Methods And Existing 3wd Met...mentioning

confidence: 99%

“…From this perspective, the proposed model is superior because of its flexibility and universality in the presentation of results. (3) Wang et al's method [56] introduces regret theory into the 3WD process, which is a great improvement to the 3WD and provides a guiding direction for our future research work. However, both the attribute weights and outcome matrix are decided subjectively by the decision-maker, which lacks transparency and interpretability.…”

Section: Pos(c) Bnd(c) Neg(c)mentioning

confidence: 99%

“…However, both the attribute weights and outcome matrix are decided subjectively by the decision-maker, which lacks transparency and interpretability. The method proposed in this paper uses a combination of BWM and entropy-weight methods to determine the attribute weights, which is more scientific than the method of Wang et al [56]. At the same time, the proposed model uses GRA to construct the loss functions, which effectively connects the attribute values in the MADM with the loss functions in the 3WD from an objective perspective.…”

Section: Pos(c) Bnd(c) Neg(c)mentioning

confidence: 99%

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GRA-Based Dynamic Hybrid Multi-Attribute Three-Way Decision-Making for the Performance Evaluation of Elderly-Care Services

Jia

Wang

2023

Mathematics

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As an important branch of modern decision-making theory, multi-attribute decision-making (MADM) plays an important role in various fields. Classic MADM methods can provide a ranking of alternatives, and decision-makers need to evaluate the level subjectively based on the ranking results. Because of the limitation of knowledge, this is likely to lead to potential individual losses. Three-way decision (3WD) theory has good classification ability. Therefore, this paper proposes a dynamic hybrid multi-attribute 3WD (MA3WD) model. First, a new scheme for constructing loss functions is proposed from the perspective of gray relational analysis (GRA), which is an accurate and objective way to describe the relationship between loss functions and attribute values. Then, conditional probabilities are determined by employing the gray relational analysis technique for order preference by similarity to the ideal solution (GRA-TOPSIS). With these discussions, a GRA-based hybrid MA3WD model for a single period is proposed by considering multi-source information. Furthermore, by extending the single-period scenario to a multi-period one, we construct a dynamic hybrid MA3WD model, which can obtain the final three-way decision rules as well as the results of each period and each attribute. Finally, the proposed method is applied to the case of performance evaluation of elderly-care services to demonstrate the effectiveness of the method, and comparative analyses are given to verify the superiority of the proposed method.

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Section: Comparison Between the Proposed Methods And Existing 3wd Met...mentioning

confidence: 99%

Section: Pos(c) Bnd(c) Neg(c)mentioning

confidence: 99%

Section: Pos(c) Bnd(c) Neg(c)mentioning

confidence: 99%

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GRA-Based Dynamic Hybrid Multi-Attribute Three-Way Decision-Making for the Performance Evaluation of Elderly-Care Services

Jia

Wang

2023

Mathematics

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“…Gong et al [42] gave a cloud model with linguistic structure by extending the RT concept over dual expectation of stock evaluation. Wang et al [43] developed RT-based TOPSIS (a technique for order of preference by similarity to ideal solution) with interval type-2 data in a three-way decision context. Liu et al [44] assessed projects for venture capitalists under probabilistic hesitant setting by adopting RT and mathematical model formulated using entropy and water-filling strategy.…”

Section: Literature Reviewmentioning

confidence: 99%

A New Interactive Decision Approach with Probabilistic Linguistic Data: An Application in the Academic Sector

Ravichandran

Krishankumar

Deb

et al. 2022

Mathematical Problems in Engineering

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As an innovative generalization to a linguistic term set, the probabilistic variant is gaining abundant attraction in the decision process. However, earlier studies with this variant for decision-making have not adequately explored hesitation in data articulation and interactive ranking. Driven by the claim, in this paper, a new integrated approach is put forward under the probabilistic linguistic context, which attempts to address the claims by presenting a regret/rejoice technique and an interactive WASPAS algorithm for determining the significance of factors and personalized ranking of alternatives. To test the usefulness of the approach, the online course prioritization problem based on empirical data is exemplified, and a comparison demonstrates the benefits and limitations of the proposed work.

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“…Recently, TWD models have been extended from different perspectives. Wang et al ( 2020 ) constructed a regret-based TWD in the context of interval type-2 fuzzy information systems. Liu and Liang ( 2017 ) presented a TWD model in an ordered information system.…”

Section: Introductionmentioning

confidence: 99%

A three-way decision method with tolerance dominance relations in decision information systems

et al. 2022

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In recent years, various medical diagnosis problems have been addressed from the perspective of multi-attribute decision making. Among them, the three-way decision theory can provide a novel scheme to solve medical diagnosis issues under the framework of multi-attribute decision making via considering transforming relationships between loss functions and decision matrices. In this paper, we primarily explore a three-way decision method with tolerance dominance relations in ordered decision information systems. In existing three-way decision models, all objects can be divided into two states, we utilize decision attributes to obtain the set of two states in ordered decision information systems. Then, in order to improve the accuracy of patient classifications, the paper simultaneously considers the influence of loss and gain functions for each object, and uses loss and gain functions to obtain net profit functions as new measurement functions. Meanwhile, a class of three-way decisions in terms of multi-attribute decision making rules based on a tolerance dominance relation is established. In light of the proposed three-way decision method, we further construct a multi-attribute decision making method by using tolerance dominance relations and the constructed method is applied to a medical diagnosis issue of Lymphography. Finally, a comparison analysis and an experimental evaluation are performed to illustrate the feasibility and effectiveness of the presented methodology.

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A Regret-Based Three-Way Decision Model Under Interval Type-2 Fuzzy Environment

Cited by 97 publications

References 69 publications

GRA-Based Dynamic Hybrid Multi-Attribute Three-Way Decision-Making for the Performance Evaluation of Elderly-Care Services

GRA-Based Dynamic Hybrid Multi-Attribute Three-Way Decision-Making for the Performance Evaluation of Elderly-Care Services

A New Interactive Decision Approach with Probabilistic Linguistic Data: An Application in the Academic Sector

A three-way decision method with tolerance dominance relations in decision information systems

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