Three-Way Decision Models Based on Ideal Relations in Multi-Attribute Decision-Making

Chen, Xiaozhi; Zou, Ligeng

doi:10.3390/e24070986

Cited by 3 publications

(1 citation statement)

References 24 publications

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“…It succeeds in rationally assigning semantic interpretations to the positive, negative, and boundary domains of rough sets, which correspond to acceptance, rejection, and delay decisions, respectively, in practical decision making. Since the proposal of the three-way decisions, many scholars have refined and extended it, and it has been widely used in many fields [19][20][21][22][23][24][25].…”

Section: Ma Et Al [10] Cloud Modelmentioning

confidence: 99%

A New Multi-Target Three-Way Threat Assessment Method with Heterogeneous Information and Attribute Relevance

Gao,

Lyu

2024

Mathematics

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Target threat assessment provides support for combat decision making. The multi-target threat assessment method based on a three-way decision can obtain threat classification while receiving threat ranking, thus avoiding the limitation of traditional two-way decisions. However, the heterogeneous situation information, attribute relevance, and adaptive information processing needs in complex battlefield environment bring challenges to existing methods. Therefore, this paper proposes a new multi-target three-way threat assessment method with heterogeneous information and attribute relevance. Firstly, dynamic assessment information is represented by heterogeneous information, and attribute weights are calculated by heterogeneous Criteria Importance Through Intercriteria Correlation (CRITIC). Then, the conditional probability is calculated by the heterogeneous weighted Technique for Order Preference by Similarity to Ideal Solution (TOPSIS), and the adaptive risk avoidance coefficients are constructed by calculating the uncertainty of the assessment value, and then the relative loss function matrices are constructed. Finally, the comprehensive loss function matrices are obtained by the weighted Heronian mean (HM) operator, and the comprehensive thresholds are calculated to obtain the three-way rules. The case study shows that compared with the existing methods, the proposed method can effectively handle the heterogeneous information and attribute relevance, and obtain the risk avoidance coefficients without presetting or field subjective settings, which is more suitable for the complex mission environment.

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Section: Ma Et Al [10] Cloud Modelmentioning

confidence: 99%

A New Multi-Target Three-Way Threat Assessment Method with Heterogeneous Information and Attribute Relevance

Gao,

Lyu

2024

Mathematics

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Effective Motive Profile Compositions for Cooperative Ad-Hoc Teams

Arukgoda,

Lakshika,

Barlow

et al. 2024

IEEE Trans. Cogn. Dev. Syst.

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Probability numbers for multi-attribute decision-making

Weng,

Huang,

2024

IFS

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In the face of increasingly complex data forms and decision-making problems, the uncertainty of information poses a major challenge to multi-attribute decision-making methods. How to effectively organize information and serve realistic decision-making problems has attracted extensive attention in the academic circles. In view of this, based on the distribution law of random variables, we put forward the basic concept of probability numbers and construct a general framework, including the concepts of type, order, item, isomorphism and isomerism, same domain and same distribution of probability numbers. On this basis, we further define the expectation and variance formula of probability numbers, and its operation rules are defined for the same type of probability numbers. To compare the dominance and inferiority of probability numbers further accurately, we put forward the concepts of dominance degree and comparability degree of probability numbers, so that decision makers can realize the ranking of probability numbers by calculating the comprehensive dominance degree. In view of the related concepts of probability numbers, we summarize the properties and theorems of probability numbers and prove them. In addition, a probability numbers-based multi-attribute decision-making framework model is proposed to solve the multi-attribute decision-making problem. Decision makers can select appropriate sub-models to construct personalized multi-attribute decision-making methods according to actual needs. At the end of the paper, we apply the method to the multi-attribute decision case of campus express stations evaluation and verify the scientificity and rationality of the evaluation method. The concept of probability numbers and its decision model proposed in this paper extend the concept category of numbers, enrich the multi-attribute decision-making method based on probability numbers, and have certain reference significance for further research of uncertain decision theory and method.

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Three-Way Decision Models Based on Ideal Relations in Multi-Attribute Decision-Making

Cited by 3 publications

References 24 publications

A New Multi-Target Three-Way Threat Assessment Method with Heterogeneous Information and Attribute Relevance

A New Multi-Target Three-Way Threat Assessment Method with Heterogeneous Information and Attribute Relevance

Effective Motive Profile Compositions for Cooperative Ad-Hoc Teams

Probability numbers for multi-attribute decision-making

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