A novel dissimilarity measure on picture fuzzy sets and its application in multi-criteria decision making

Duong, Truong Thi Thuy; Thảo, Nguyễn Xuân

doi:10.1007/s00500-020-05405-6

Cited by 18 publications

(8 citation statements)

References 35 publications

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“…(iii) e suggested divergence metric may be expanded and implemented in an image fuzzy soft set environment. (iv) e suggested DMs may be used to a wide range of real-world problems [36].…”

Section: Discussionmentioning

confidence: 99%

A Novel Multiple-Criteria Decision-Making Approach Based on Picture Fuzzy Sets

Karamti

Sindhu

Ahsan

et al. 2022

Journal of Function Spaces

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Experts are using picture fuzzy sets (PFSs) in their probes to resolve the uncertain and vague information during the process of decision making because PFSs describe human attitudes naturally. Divergence measure (DM) plays a dominant role in discriminating between two distributions of probability and extracting consequences from that discrimination. In the present work, a novel picture fuzzy divergence measure (PF-DM) is developed between two PFSs. Some of the suggested measure’s important qualities are also discussed with particular situations to validate it. Based on the suggested PF-DM, a multiple-criteria decision-making (MCDM) model is established to grab the fuzzy information. The suggested measure’s performance is compared to that of various existing measures in the literature. An MCDM model has been proven for the usefulness of the suggested technique in dealing with real-life scenarios in the context of dengue sickness and pattern identification. Validation of the suggested MCDM model has been further investigated using validity testing. To improve the generated model, a thorough comparison with several current methodologies has been carried out while taking the time complexity (TC) factor into account.

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“…(iii) e suggested divergence metric may be expanded and implemented in an image fuzzy soft set environment. (iv) e suggested DMs may be used to a wide range of real-world problems [36].…”

Section: Discussionmentioning

confidence: 99%

A Novel Multiple-Criteria Decision-Making Approach Based on Picture Fuzzy Sets

Karamti

Sindhu

Ahsan

et al. 2022

Journal of Function Spaces

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“…Unlike IFS, PFS indicates the degree of refusal and brings about better accuracy and granularity in the analysis, which involves a considerable amount of subjectivity and impreciseness in the available information [41]. Due to its potential for superior analysis under uncertainty, PFS has been utilized by various researchers (e.g., [42][43][44][45][46][47][48]) in distinct situations, for multi-criteria decision making (MCDM) related problems. In the following section, we mention some of the basic definitions, operations and properties of PFS [49,50].…”

Section: Pfsmentioning

confidence: 99%

A Cross-Sectional Study on Mental Health of School Students during the COVID-19 Pandemic in India

Deb¹,

Kar

Deb

et al. 2022

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The broad objective of the present study is to assess the levels of anxiety and depression of school students during the COVID-19 lockdown phase and their association with students’ background, stress, concerns and social support. In this regard, the present study follows a novel two stage approach. In the first phase, an empirical survey was carried out, based on multivariate statistical analysis, wherein a group of 273 school students participated in the study voluntarily. In the second phase, a novel Picture Fuzzy FFA (PF-FFA) method was applied for understanding the dynamics of facilitating and prohibiting factors for three categories of focus groups (FG), formulated on the basis of attendance in online classes. Findings revealed a significant impact of anxiety and depression on mental health. Further, PF-FFA examinedthe impact of the driving forces that steered children to attend class as contrasted to the the impact of the restricting forces.

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“…Liu et al (Liu et al, 2019b) presented a picture fuzzy ordered weighted distance measure and adopted it in a practical application of investment alternatives selection. Duong et al (Duong & Thao, 2021) proposed a novel dissimilarity measure on PFSs and adopted it in multi-criteria decision making problem. Although these distance measure methods are widely used, these distance measures can not satisfy the axiomatic requirements of being distance measures between PFSs, and may produce counterintuitive results in calculating the distance between different PFSs.…”

Section: Distance Measures Of Pfssmentioning

confidence: 99%

An improving failure mode and effect analysis method for pallet exchange rack risk analysis

2021

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In order to enhance quality and reliability of mechanical and electrical products, the methods of taking corresponding corrective measures to eliminate or alleviate product failure in advance have been widely concerned. Failure mode and effects analysis (FMEA) is a typical prevention reliability analysis method. However, there are some drawbacks in traditional FMEA method. To overcome these drawbacks, we propose a hybrid risk evaluation method, which combines picture fuzzy sets (PFSs), the PF-linear programming model (PF-LPM) method and the PF-weighted aggregated sum product assessment (PF-WASPAS) method. We adopt PFSs to evaluate risks of products. In order to overcome drawback of the traditional distance between PFSs, some new distance measures between PFSs based on the Dice similarity and the Jaccard similarity are proposed by us. The PF-LPM method which considers the subjective weights of risk factors and calculates synthetical deviation with the Dice similaritybased distance is utilized to calculate the weights of risk factors. Moreover, the PFWA operator and the PFWG operator are used by us to fuse experts' evaluation information. Then, the PF-WASPAS method is utilized to rank failure modes. Finally, an illustrative example with respect to pallet exchange rack is introduced, and the rationality, effectiveness and applicability of the proposed method are verified by a discussion and comparison.

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A novel dissimilarity measure on picture fuzzy sets and its application in multi-criteria decision making

Cited by 18 publications

References 35 publications

A Novel Multiple-Criteria Decision-Making Approach Based on Picture Fuzzy Sets

A Novel Multiple-Criteria Decision-Making Approach Based on Picture Fuzzy Sets

A Cross-Sectional Study on Mental Health of School Students during the COVID-19 Pandemic in India

An improving failure mode and effect analysis method for pallet exchange rack risk analysis

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