Multiattribute Group Decision-Making Approach With Linguistic Pythagorean Fuzzy Information
The purpose of this study is to construct the multi-attribute group decision making (MAGDM) approach with linguistic Pythagorean fuzzy information (LPFI) based on generalized linguistic Pythagorean fuzzy aggregation operators (GLPFA). To begin with, we define the generalized indeterminacy degree-pre...
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8854073/ |
| _version_ | 1818935699107217408 |
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| author | Yi Liu Ya Qin Lei Xu Hao-Bin Liu Jun Liu |
| author_facet | Yi Liu Ya Qin Lei Xu Hao-Bin Liu Jun Liu |
| author_sort | Yi Liu |
| collection | DOAJ |
| description | The purpose of this study is to construct the multi-attribute group decision making (MAGDM) approach with linguistic Pythagorean fuzzy information (LPFI) based on generalized linguistic Pythagorean fuzzy aggregation operators (GLPFA). To begin with, we define the generalized indeterminacy degree-preference distance of linguistic Pythagorean fuzzy numbers (LPFNs), on the basis of it, we build a new approach for ranking the alternatives after analysing the existed comparison rule. In addition, we introduce the new version of t-norms (TNs) and t-conorms (TCs) named linguistic Pythagorean t-norms (LPTNs) and linguistic Pythagorean t-conorms (LPTCs), which can be used to handle the LPFI; some special cases for LPTNs and LPTCs are obtained and they can deal with Pythagorean fuzzy information (PFI). Thirdly, we introduce the generalized linguistic Pythagorean fuzzy average aggregation operator (GLPFAA) based on LPTN and LPTC along with their properties are also investigated, whilst, some special cases of GLPAA are obtained when LPTN and LPTC take some special TNs and TCs. Finally, a MAGDM approach based on some LPTNs and LPTCs is constructed to deal with some MAGDM problems with unknown attributes'weights and experts' weights, before building the MAGDM approach, we define new cross-entropy to fix the experts's weights and use the maximizing deviation to calculate the attributes' weights based on the proposed indeterminacy degree-preference distance. Consequently, an illustrative example is provided in order to show the effectiveness and advantages of the proposed method and some comparisons are also carried out. |
| first_indexed | 2024-12-20T05:24:19Z |
| format | Article |
| id | doaj.art-cd786a9e59e348edb03cce25f67ec02a |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-20T05:24:19Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-cd786a9e59e348edb03cce25f67ec02a2022-12-21T19:51:56ZengIEEEIEEE Access2169-35362019-01-01714341214343010.1109/ACCESS.2019.29450058854073Multiattribute Group Decision-Making Approach With Linguistic Pythagorean Fuzzy InformationYi Liu0https://orcid.org/0000-0001-5304-235XYa Qin1Lei Xu2Hao-Bin Liu3Jun Liu4Data Recovery Key Laboratory of Sichuan Province, Neijiang Normal University, Neijiang, ChinaSchool of Mathematics and Information Sciences, Neijiang Noraml University, Neijiang, ChinaData Recovery Key Laboratory of Sichuan Province, Neijiang Normal University, Neijiang, ChinaData Recovery Key Laboratory of Sichuan Province, Neijiang Normal University, Neijiang, ChinaSchool of Computing, Ulster University at Jordanstown, Newtownabbey, U.K.The purpose of this study is to construct the multi-attribute group decision making (MAGDM) approach with linguistic Pythagorean fuzzy information (LPFI) based on generalized linguistic Pythagorean fuzzy aggregation operators (GLPFA). To begin with, we define the generalized indeterminacy degree-preference distance of linguistic Pythagorean fuzzy numbers (LPFNs), on the basis of it, we build a new approach for ranking the alternatives after analysing the existed comparison rule. In addition, we introduce the new version of t-norms (TNs) and t-conorms (TCs) named linguistic Pythagorean t-norms (LPTNs) and linguistic Pythagorean t-conorms (LPTCs), which can be used to handle the LPFI; some special cases for LPTNs and LPTCs are obtained and they can deal with Pythagorean fuzzy information (PFI). Thirdly, we introduce the generalized linguistic Pythagorean fuzzy average aggregation operator (GLPFAA) based on LPTN and LPTC along with their properties are also investigated, whilst, some special cases of GLPAA are obtained when LPTN and LPTC take some special TNs and TCs. Finally, a MAGDM approach based on some LPTNs and LPTCs is constructed to deal with some MAGDM problems with unknown attributes'weights and experts' weights, before building the MAGDM approach, we define new cross-entropy to fix the experts's weights and use the maximizing deviation to calculate the attributes' weights based on the proposed indeterminacy degree-preference distance. Consequently, an illustrative example is provided in order to show the effectiveness and advantages of the proposed method and some comparisons are also carried out.https://ieeexplore.ieee.org/document/8854073/Linguistic Pythagorean fuzzy set (LPFS)Linguistic Pythagorean t-norms (LPTNs)linguistic Pythagorean t-conorms (LPTCs)generalized linguistic Pythagorean aggregation operatorsgeneralized indeterminacy degree-preference distancegeneralized linguistic Pythagorean cross-entropy |
| spellingShingle | Yi Liu Ya Qin Lei Xu Hao-Bin Liu Jun Liu Multiattribute Group Decision-Making Approach With Linguistic Pythagorean Fuzzy Information IEEE Access Linguistic Pythagorean fuzzy set (LPFS) Linguistic Pythagorean t-norms (LPTNs) linguistic Pythagorean t-conorms (LPTCs) generalized linguistic Pythagorean aggregation operators generalized indeterminacy degree-preference distance generalized linguistic Pythagorean cross-entropy |
| title | Multiattribute Group Decision-Making Approach With Linguistic Pythagorean Fuzzy Information |
| title_full | Multiattribute Group Decision-Making Approach With Linguistic Pythagorean Fuzzy Information |
| title_fullStr | Multiattribute Group Decision-Making Approach With Linguistic Pythagorean Fuzzy Information |
| title_full_unstemmed | Multiattribute Group Decision-Making Approach With Linguistic Pythagorean Fuzzy Information |
| title_short | Multiattribute Group Decision-Making Approach With Linguistic Pythagorean Fuzzy Information |
| title_sort | multiattribute group decision making approach with linguistic pythagorean fuzzy information |
| topic | Linguistic Pythagorean fuzzy set (LPFS) Linguistic Pythagorean t-norms (LPTNs) linguistic Pythagorean t-conorms (LPTCs) generalized linguistic Pythagorean aggregation operators generalized indeterminacy degree-preference distance generalized linguistic Pythagorean cross-entropy |
| url | https://ieeexplore.ieee.org/document/8854073/ |
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