Probabilistic linguistic multi-attribute decision making approach based upon novel GMSM operators
Probabilistic linguistic terms set (PLTS), a new tool for expressing uncertain decision information, is composed of all possible linguistic terms (LTs) and their related probabilities. It also increases the corresponding probability of LTs in hesitant fuzzy linguistic term set (HFLTS). On the other...
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| Format: | Article |
| Language: | English English |
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AIMS Press
2023
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| Online Access: | https://eprints.ums.edu.my/id/eprint/38410/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/38410/2/FULL%20TEXT.pdf |
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| author | Ya Qin Siti Rahayu Mohd. Hashim Jumat Sulaiman |
| author_facet | Ya Qin Siti Rahayu Mohd. Hashim Jumat Sulaiman |
| author_sort | Ya Qin |
| collection | UMS |
| description | Probabilistic linguistic terms set (PLTS), a new tool for expressing uncertain decision information, is composed of all possible linguistic terms (LTs) and their related probabilities. It also increases the corresponding probability of LTs in hesitant fuzzy linguistic term set (HFLTS). On the other hand, aggregation operator is an important information fusion tool, the Maclaurin symmetric mean (MSM) operator can provide more flexibility and robustness in information fusion and make it more suitable for solving MADM problems with independent attributes. This current study adopts the merits of PLTS and MSM operator, and then a novel probabilistic linguistic decision-making approach are targeted. Firstly, the operations of two PLTSs are redefined based upon Archimedean t-norm (ATN) and Archimedean t-conorm (ATC); Secondly, the probabilistic linguistic generalized MSM operator (PLGMSM) is proposed based on ATN and ATC, some properties of PLGMSM are investigated, then some special PLGMSM operators have been studied in detail when the parameters take different values and the generator of ATN takes different functions. Thirdly, the weighted probabilistic linguistic generalized MSM operator (WPLGMSM) is studied along with some properties of PLGMSM, some special WPLGMSM operators have been also investigated in detail when the parameters take different values and the generator of ATN takes different functions. Finally, on the basis of our proposed aggregation operators, the aggregated-based decision-making approach is designed and an example is supplied to manifest the effectiveness of the proposed approach. Furthermore, some comparison analyses with extant decision approaches are carried out to illustrate the validity and feasibility of the proposed approach. |
| first_indexed | 2024-03-06T03:28:13Z |
| format | Article |
| id | ums.eprints-38410 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-03-06T03:28:13Z |
| publishDate | 2023 |
| publisher | AIMS Press |
| record_format | dspace |
| spelling | ums.eprints-384102024-02-29T03:04:42Z https://eprints.ums.edu.my/id/eprint/38410/ Probabilistic linguistic multi-attribute decision making approach based upon novel GMSM operators Ya Qin Siti Rahayu Mohd. Hashim Jumat Sulaiman Q1-390 Science (General) QA1-939 Mathematics Probabilistic linguistic terms set (PLTS), a new tool for expressing uncertain decision information, is composed of all possible linguistic terms (LTs) and their related probabilities. It also increases the corresponding probability of LTs in hesitant fuzzy linguistic term set (HFLTS). On the other hand, aggregation operator is an important information fusion tool, the Maclaurin symmetric mean (MSM) operator can provide more flexibility and robustness in information fusion and make it more suitable for solving MADM problems with independent attributes. This current study adopts the merits of PLTS and MSM operator, and then a novel probabilistic linguistic decision-making approach are targeted. Firstly, the operations of two PLTSs are redefined based upon Archimedean t-norm (ATN) and Archimedean t-conorm (ATC); Secondly, the probabilistic linguistic generalized MSM operator (PLGMSM) is proposed based on ATN and ATC, some properties of PLGMSM are investigated, then some special PLGMSM operators have been studied in detail when the parameters take different values and the generator of ATN takes different functions. Thirdly, the weighted probabilistic linguistic generalized MSM operator (WPLGMSM) is studied along with some properties of PLGMSM, some special WPLGMSM operators have been also investigated in detail when the parameters take different values and the generator of ATN takes different functions. Finally, on the basis of our proposed aggregation operators, the aggregated-based decision-making approach is designed and an example is supplied to manifest the effectiveness of the proposed approach. Furthermore, some comparison analyses with extant decision approaches are carried out to illustrate the validity and feasibility of the proposed approach. AIMS Press 2023 Article NonPeerReviewed text en https://eprints.ums.edu.my/id/eprint/38410/1/ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/38410/2/FULL%20TEXT.pdf Ya Qin and Siti Rahayu Mohd. Hashim and Jumat Sulaiman (2023) Probabilistic linguistic multi-attribute decision making approach based upon novel GMSM operators. AIMS Mathematics, 8. pp. 11727-11751. ISSN 2473-6988 |
| spellingShingle | Q1-390 Science (General) QA1-939 Mathematics Ya Qin Siti Rahayu Mohd. Hashim Jumat Sulaiman Probabilistic linguistic multi-attribute decision making approach based upon novel GMSM operators |
| title | Probabilistic linguistic multi-attribute decision making approach based upon novel GMSM operators |
| title_full | Probabilistic linguistic multi-attribute decision making approach based upon novel GMSM operators |
| title_fullStr | Probabilistic linguistic multi-attribute decision making approach based upon novel GMSM operators |
| title_full_unstemmed | Probabilistic linguistic multi-attribute decision making approach based upon novel GMSM operators |
| title_short | Probabilistic linguistic multi-attribute decision making approach based upon novel GMSM operators |
| title_sort | probabilistic linguistic multi attribute decision making approach based upon novel gmsm operators |
| topic | Q1-390 Science (General) QA1-939 Mathematics |
| url | https://eprints.ums.edu.my/id/eprint/38410/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/38410/2/FULL%20TEXT.pdf |
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