A probabilistic linguistic TODIM method considering cumulative probability-based Hellinger distance and its application in waste mobile phone recycling

Chang, Jiaying; Liao, Huchang; Mi, Xiaomei; Al-Barakati, Abdullah

doi:10.1007/s10489-021-02185-w

Cited by 12 publications

(5 citation statements)

References 31 publications

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“…A generalized mixed distance was presented by Lin et al (2021) to measure the distance between two PLTSs based on the probabilistic segmentation algorithm. Considering cumulative probability and Hellinger distance, a new distance measure to measure the distance between PLTSs was built by Chang et al (2021). Furthermore, the deviation between linguistic terms and probability information in PLTSs was considered and a new distance measure model was constructed by Zhang et al (2020).…”

Section: Introductionmentioning

confidence: 99%

A novel distance measure for probabilistic linguistic term sets with application to emergency decision-making

Liu,

Wang,

Jia

2024

Preprint

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The probabilistic linguistic term sets (PLTSs), as a form of fuzzy language, is capable of effectively expressing the evaluation information of decision-makers (DMs) in emergency decision-making (EDM). In response to the uncertainty of decision-making information and the non-complete rationality of DMs in EDM, a method for EDM based on PLTSs and regret theory has been developed. Firstly, a novel distance measure model based on the Euclidean distance, Jensen-Shannon (JS) divergence, and Jousselme distance is established for the PLTSs. Secondly, the expert weight is calculated based on both the degree of trust in the expert and the degree of similarity in viewpoints. In the process of consensus reaching, a feedback adjustment coefficient is introduced to reasonably retain the original evaluation information provided by experts. Then, a combined weighting model is established based on both objective attribute weight and subjective attribute weight in order to solve the comprehensive attribute weight. It is important to consider that DMs are often not entirely rational; therefore, an EDM method is constructed using PLTSs and regret theory to prioritize alternatives. Finally, the effectiveness and feasibility of the proposed method are validated through the selection of a transportation scheme for earthquake relief materials.

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Section: Introductionmentioning

confidence: 99%

A novel distance measure for probabilistic linguistic term sets with application to emergency decision-making

Liu,

Wang,

Jia

2024

Preprint

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“…Some studies have introduced and defined some new distance formulas. Chang et al (2021) introduced Hellinger distance measure. Jiang and Liao (2021) defined Kolmogorov-Smirnov distance measure on the PLTSs.…”

Section: Introductionmentioning

confidence: 99%

Location Selection of Express Distribution Centre with Probabilistic Linguistic MABAC Method Based on the Cumulative Prospect Theory

Tang¹,

Wei²,

Chen³

2022

Informatica

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In our daily life, we could be confronted with numerous multiple attribute group decision making (MAGDM) problems. For such problems we designed a model which employs probabilistic linguistic MABAC (multi-attributive border approximation area comparison) based on the cumulative prospect theory (CPT-PL-MABAC) method to solve the MAGDM. The CPT-PL-MABAC method can take experts' psychological behaviour and preferences into consideration. Furthermore, we utilize the combined weight consisting of subjective weight and objective weight. The objective weight is acquired by the entropy method. Additionally, the concrete calculating steps of CPT-PL-MABAC method are proposed to solve the MAGDM for selecting the optimal location of express distribution centre. Also, a numerical example for location selection of express distribution centre is given as the justification of the usefulness of the designed method. Finally, we compare the designed model with the other three existing models, and summarize the advantages and shortcomings.

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“…Wang et al [38] investigated multicriteria group decision problems with PLTSs. Chang et al [39]; based on cumulative probability-based Hellinger distance, proposed a probabilistic linguistic TODIM method for waste mobile phone recycling. Darko and Liang [40] proposed a probabilistic linguistic WASPAS method by designing and reconciling prioritized Maclaurin symmetric mean aggregation operators for patients' prioritization.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic Linguistic PROMETHEE I and II Methods for Evaluation of the Reform Scheme of Postgraduate Innovation and Entrepreneurship Education Talent Training Mode under the Big Data Environment

2022

Mathematical Problems in Engineering

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Talent training quality is an important field within higher education research. Innovating the talent training mode and deepening educational reform programs are both of great significance for enhancing the quality of postgraduate innovation and entrepreneurship education in universities. In this study, Preference Ranking Organization Method for Enrichment Evaluation (PROMETHEE) I and II methods are extended with the probability linguistic term set (PLTS) to accurately express and quantitatively evaluate the reform scheme of postgraduate innovation and entrepreneurship education talent training mode under the big data environment. First, probabilistic linguistic PROMETHEE I and II methods are presented for quantitatively evaluating the reform scheme of postgraduate innovation and entrepreneurship education talent training, which have the advantages of good effectiveness and feasibility. Second, the PLTS is imported into the evaluation methods and applied to accurately depict qualitative information about the index data of the reform scheme effect by the degree of probability. Third, the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) with PLTS is proposed to perform a comparative study and conduct visual analysis to verify the effectiveness of the extended probabilistic linguistic PROMETHEE I and II methods. Fourth, an empirical example illustrates the specific evaluation process, verifies the feasibility of the extended methods, and explains the effectiveness of the results. The research findings indicate that the proposed method to reform scheme evaluation can lead to better decision quality, especially in a complex fuzzy and uncertain decision-making environment.

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A probabilistic linguistic TODIM method considering cumulative probability-based Hellinger distance and its application in waste mobile phone recycling

Cited by 12 publications

References 31 publications

A novel distance measure for probabilistic linguistic term sets with application to emergency decision-making

A novel distance measure for probabilistic linguistic term sets with application to emergency decision-making

Location Selection of Express Distribution Centre with Probabilistic Linguistic MABAC Method Based on the Cumulative Prospect Theory

Probabilistic Linguistic PROMETHEE I and II Methods for Evaluation of the Reform Scheme of Postgraduate Innovation and Entrepreneurship Education Talent Training Mode under the Big Data Environment

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