Normal wiggly probabilistic hesitant fuzzy-based TODIM approach for optimal solid waste disposal method selection
The normal wiggly probabilistic hesitant fuzzy set (NWPHFS) enhances the conventional probabilistic hesitant fuzzy set (PHFS) by capturing not only explicit probabilistic information but also critical underlying details that may be hidden in the original inputs provided by decision-makers (DMs). Thi...
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Elsevier
2025-01-01
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| Series: | Heliyon |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844025002889 |
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| author | Jawad Ali Dragan Pamucar |
| author_facet | Jawad Ali Dragan Pamucar |
| author_sort | Jawad Ali |
| collection | DOAJ |
| description | The normal wiggly probabilistic hesitant fuzzy set (NWPHFS) enhances the conventional probabilistic hesitant fuzzy set (PHFS) by capturing not only explicit probabilistic information but also critical underlying details that may be hidden in the original inputs provided by decision-makers (DMs). This paper introduces a novel extension of the Tomada de Decisão Interativa Multicritério (TODIM) method, called the normal wiggly probabilistic hesitant fuzzy TODIM (NWPHFT) method based on the proposed distance measures of NWPHFSs. Initially, two novel basic operations over NWPHFSs—the subtraction and division operations—are defined. Additionally, several distance measures specific to normal wiggly probabilistic hesitant fuzzy sets are developed, and their properties are thoroughly examined. Furthermore, for scenarios where the weights of criteria are partially or completely unknown, two optimization models are established to determine these weights using the maximizing deviation approach and the Lagrange function technique, respectively. Next, the traditional TODIM approach is extended to develop the NWPHFT for addressing MCDM problems by utilizing the proposed distance measures and criteria weight determination models. The proposed method is then applied to a problem related to selecting solid waste disposal methods to demonstrate its practical applicability. Finally, comprehensive sensitivity analyses and comparisons are conducted to illustrate the stability and effectiveness of the proposed approach. |
| format | Article |
| id | doaj-art-b2c6511949884500a4cb54732cb8dd5a |
| institution | Kabale University |
| issn | 2405-8440 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj-art-b2c6511949884500a4cb54732cb8dd5a2025-02-02T05:28:32ZengElsevierHeliyon2405-84402025-01-01112e41908Normal wiggly probabilistic hesitant fuzzy-based TODIM approach for optimal solid waste disposal method selectionJawad Ali0Dragan Pamucar1Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat 26000, KPK, PakistanSzéchenyi István University, Győr, Hungary; Corresponding author.The normal wiggly probabilistic hesitant fuzzy set (NWPHFS) enhances the conventional probabilistic hesitant fuzzy set (PHFS) by capturing not only explicit probabilistic information but also critical underlying details that may be hidden in the original inputs provided by decision-makers (DMs). This paper introduces a novel extension of the Tomada de Decisão Interativa Multicritério (TODIM) method, called the normal wiggly probabilistic hesitant fuzzy TODIM (NWPHFT) method based on the proposed distance measures of NWPHFSs. Initially, two novel basic operations over NWPHFSs—the subtraction and division operations—are defined. Additionally, several distance measures specific to normal wiggly probabilistic hesitant fuzzy sets are developed, and their properties are thoroughly examined. Furthermore, for scenarios where the weights of criteria are partially or completely unknown, two optimization models are established to determine these weights using the maximizing deviation approach and the Lagrange function technique, respectively. Next, the traditional TODIM approach is extended to develop the NWPHFT for addressing MCDM problems by utilizing the proposed distance measures and criteria weight determination models. The proposed method is then applied to a problem related to selecting solid waste disposal methods to demonstrate its practical applicability. Finally, comprehensive sensitivity analyses and comparisons are conducted to illustrate the stability and effectiveness of the proposed approach.http://www.sciencedirect.com/science/article/pii/S2405844025002889Distance measureNormal wiggly probabilistic hesitant fuzzy setReal preference degreeWaste disposalMaximizing deviation methodTODIM method |
| spellingShingle | Jawad Ali Dragan Pamucar Normal wiggly probabilistic hesitant fuzzy-based TODIM approach for optimal solid waste disposal method selection Heliyon Distance measure Normal wiggly probabilistic hesitant fuzzy set Real preference degree Waste disposal Maximizing deviation method TODIM method |
| title | Normal wiggly probabilistic hesitant fuzzy-based TODIM approach for optimal solid waste disposal method selection |
| title_full | Normal wiggly probabilistic hesitant fuzzy-based TODIM approach for optimal solid waste disposal method selection |
| title_fullStr | Normal wiggly probabilistic hesitant fuzzy-based TODIM approach for optimal solid waste disposal method selection |
| title_full_unstemmed | Normal wiggly probabilistic hesitant fuzzy-based TODIM approach for optimal solid waste disposal method selection |
| title_short | Normal wiggly probabilistic hesitant fuzzy-based TODIM approach for optimal solid waste disposal method selection |
| title_sort | normal wiggly probabilistic hesitant fuzzy based todim approach for optimal solid waste disposal method selection |
| topic | Distance measure Normal wiggly probabilistic hesitant fuzzy set Real preference degree Waste disposal Maximizing deviation method TODIM method |
| url | http://www.sciencedirect.com/science/article/pii/S2405844025002889 |
| work_keys_str_mv | AT jawadali normalwigglyprobabilistichesitantfuzzybasedtodimapproachforoptimalsolidwastedisposalmethodselection AT draganpamucar normalwigglyprobabilistichesitantfuzzybasedtodimapproachforoptimalsolidwastedisposalmethodselection |