Trapezoid fuzzy linguistic prioritized weighted average operators and their application to multiple attribute group decision-making
Abstract The prioritized weighted average (PWA) operator was originally introduced by Yager. The prominent characteristic of the PWA operator is that it takes into account prioritization among attributes and decision makers. Motivated by the idea of PWA operator, we develop some prioritized weighted...
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| Autor*in: |
Verma, Rajkumar [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2014 |
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| Anmerkung: |
© Verma and Sharma; licensee Springer. 2014. This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License ( |
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| Übergeordnetes Werk: |
Enthalten in: Journal of Uncertainty Analysis and Applications - Berlin : SpringerOpen, 2013, 2(2014), 1 vom: 28. Apr. |
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| Übergeordnetes Werk: |
volume:2 ; year:2014 ; number:1 ; day:28 ; month:04 |
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| DOI / URN: |
10.1186/2195-5468-2-10 |
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| 520 | |a Abstract The prioritized weighted average (PWA) operator was originally introduced by Yager. The prominent characteristic of the PWA operator is that it takes into account prioritization among attributes and decision makers. Motivated by the idea of PWA operator, we develop some prioritized weighted aggregation operators for aggregating trapezoid fuzzy linguistic information. The properties of the new aggregation operators are studied in detail. Furthermore, based on the proposed operators, some approaches to deal with multiple attribute group decision-making problems under trapezoid fuzzy linguistic environments are developed. Finally, a practical example is provided to illustrate the multiple attribute group decision-making process. | ||
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10.1186/2195-5468-2-10 doi (DE-627)SPR036488275 (SPR)2195-5468-2-10-e DE-627 ger DE-627 rakwb eng Verma, Rajkumar verfasserin aut Trapezoid fuzzy linguistic prioritized weighted average operators and their application to multiple attribute group decision-making 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Verma and Sharma; licensee Springer. 2014. This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License ( Abstract The prioritized weighted average (PWA) operator was originally introduced by Yager. The prominent characteristic of the PWA operator is that it takes into account prioritization among attributes and decision makers. Motivated by the idea of PWA operator, we develop some prioritized weighted aggregation operators for aggregating trapezoid fuzzy linguistic information. The properties of the new aggregation operators are studied in detail. Furthermore, based on the proposed operators, some approaches to deal with multiple attribute group decision-making problems under trapezoid fuzzy linguistic environments are developed. Finally, a practical example is provided to illustrate the multiple attribute group decision-making process. Multiple attribute group decision-making (MAGDM) (dpeaa)DE-He213 Trapezoid fuzzy linguistic variables (dpeaa)DE-He213 Prioritized weighted average operator (dpeaa)DE-He213 Trapezoid fuzzy linguistic prioritized weighted average operator (dpeaa)DE-He213 Trapezoid fuzzy linguistic prioritized weighted geometric operator (dpeaa)DE-He213 Trapezoid fuzzy linguistic prioritized weighted harmonic average operator (dpeaa)DE-He213 Sharma, Bhu Dev aut Enthalten in Journal of Uncertainty Analysis and Applications Berlin : SpringerOpen, 2013 2(2014), 1 vom: 28. Apr. (DE-627)745007392 (DE-600)2713511-1 2195-5468 nnns volume:2 year:2014 number:1 day:28 month:04 https://dx.doi.org/10.1186/2195-5468-2-10 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2 2014 1 28 04 |
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10.1186/2195-5468-2-10 doi (DE-627)SPR036488275 (SPR)2195-5468-2-10-e DE-627 ger DE-627 rakwb eng Verma, Rajkumar verfasserin aut Trapezoid fuzzy linguistic prioritized weighted average operators and their application to multiple attribute group decision-making 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Verma and Sharma; licensee Springer. 2014. This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License ( Abstract The prioritized weighted average (PWA) operator was originally introduced by Yager. The prominent characteristic of the PWA operator is that it takes into account prioritization among attributes and decision makers. Motivated by the idea of PWA operator, we develop some prioritized weighted aggregation operators for aggregating trapezoid fuzzy linguistic information. The properties of the new aggregation operators are studied in detail. Furthermore, based on the proposed operators, some approaches to deal with multiple attribute group decision-making problems under trapezoid fuzzy linguistic environments are developed. Finally, a practical example is provided to illustrate the multiple attribute group decision-making process. Multiple attribute group decision-making (MAGDM) (dpeaa)DE-He213 Trapezoid fuzzy linguistic variables (dpeaa)DE-He213 Prioritized weighted average operator (dpeaa)DE-He213 Trapezoid fuzzy linguistic prioritized weighted average operator (dpeaa)DE-He213 Trapezoid fuzzy linguistic prioritized weighted geometric operator (dpeaa)DE-He213 Trapezoid fuzzy linguistic prioritized weighted harmonic average operator (dpeaa)DE-He213 Sharma, Bhu Dev aut Enthalten in Journal of Uncertainty Analysis and Applications Berlin : SpringerOpen, 2013 2(2014), 1 vom: 28. Apr. (DE-627)745007392 (DE-600)2713511-1 2195-5468 nnns volume:2 year:2014 number:1 day:28 month:04 https://dx.doi.org/10.1186/2195-5468-2-10 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2 2014 1 28 04 |
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10.1186/2195-5468-2-10 doi (DE-627)SPR036488275 (SPR)2195-5468-2-10-e DE-627 ger DE-627 rakwb eng Verma, Rajkumar verfasserin aut Trapezoid fuzzy linguistic prioritized weighted average operators and their application to multiple attribute group decision-making 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Verma and Sharma; licensee Springer. 2014. This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License ( Abstract The prioritized weighted average (PWA) operator was originally introduced by Yager. The prominent characteristic of the PWA operator is that it takes into account prioritization among attributes and decision makers. Motivated by the idea of PWA operator, we develop some prioritized weighted aggregation operators for aggregating trapezoid fuzzy linguistic information. The properties of the new aggregation operators are studied in detail. Furthermore, based on the proposed operators, some approaches to deal with multiple attribute group decision-making problems under trapezoid fuzzy linguistic environments are developed. Finally, a practical example is provided to illustrate the multiple attribute group decision-making process. Multiple attribute group decision-making (MAGDM) (dpeaa)DE-He213 Trapezoid fuzzy linguistic variables (dpeaa)DE-He213 Prioritized weighted average operator (dpeaa)DE-He213 Trapezoid fuzzy linguistic prioritized weighted average operator (dpeaa)DE-He213 Trapezoid fuzzy linguistic prioritized weighted geometric operator (dpeaa)DE-He213 Trapezoid fuzzy linguistic prioritized weighted harmonic average operator (dpeaa)DE-He213 Sharma, Bhu Dev aut Enthalten in Journal of Uncertainty Analysis and Applications Berlin : SpringerOpen, 2013 2(2014), 1 vom: 28. Apr. (DE-627)745007392 (DE-600)2713511-1 2195-5468 nnns volume:2 year:2014 number:1 day:28 month:04 https://dx.doi.org/10.1186/2195-5468-2-10 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2 2014 1 28 04 |
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10.1186/2195-5468-2-10 doi (DE-627)SPR036488275 (SPR)2195-5468-2-10-e DE-627 ger DE-627 rakwb eng Verma, Rajkumar verfasserin aut Trapezoid fuzzy linguistic prioritized weighted average operators and their application to multiple attribute group decision-making 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Verma and Sharma; licensee Springer. 2014. This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License ( Abstract The prioritized weighted average (PWA) operator was originally introduced by Yager. The prominent characteristic of the PWA operator is that it takes into account prioritization among attributes and decision makers. Motivated by the idea of PWA operator, we develop some prioritized weighted aggregation operators for aggregating trapezoid fuzzy linguistic information. The properties of the new aggregation operators are studied in detail. Furthermore, based on the proposed operators, some approaches to deal with multiple attribute group decision-making problems under trapezoid fuzzy linguistic environments are developed. Finally, a practical example is provided to illustrate the multiple attribute group decision-making process. Multiple attribute group decision-making (MAGDM) (dpeaa)DE-He213 Trapezoid fuzzy linguistic variables (dpeaa)DE-He213 Prioritized weighted average operator (dpeaa)DE-He213 Trapezoid fuzzy linguistic prioritized weighted average operator (dpeaa)DE-He213 Trapezoid fuzzy linguistic prioritized weighted geometric operator (dpeaa)DE-He213 Trapezoid fuzzy linguistic prioritized weighted harmonic average operator (dpeaa)DE-He213 Sharma, Bhu Dev aut Enthalten in Journal of Uncertainty Analysis and Applications Berlin : SpringerOpen, 2013 2(2014), 1 vom: 28. Apr. (DE-627)745007392 (DE-600)2713511-1 2195-5468 nnns volume:2 year:2014 number:1 day:28 month:04 https://dx.doi.org/10.1186/2195-5468-2-10 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2 2014 1 28 04 |
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10.1186/2195-5468-2-10 doi (DE-627)SPR036488275 (SPR)2195-5468-2-10-e DE-627 ger DE-627 rakwb eng Verma, Rajkumar verfasserin aut Trapezoid fuzzy linguistic prioritized weighted average operators and their application to multiple attribute group decision-making 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Verma and Sharma; licensee Springer. 2014. This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License ( Abstract The prioritized weighted average (PWA) operator was originally introduced by Yager. The prominent characteristic of the PWA operator is that it takes into account prioritization among attributes and decision makers. Motivated by the idea of PWA operator, we develop some prioritized weighted aggregation operators for aggregating trapezoid fuzzy linguistic information. The properties of the new aggregation operators are studied in detail. Furthermore, based on the proposed operators, some approaches to deal with multiple attribute group decision-making problems under trapezoid fuzzy linguistic environments are developed. Finally, a practical example is provided to illustrate the multiple attribute group decision-making process. Multiple attribute group decision-making (MAGDM) (dpeaa)DE-He213 Trapezoid fuzzy linguistic variables (dpeaa)DE-He213 Prioritized weighted average operator (dpeaa)DE-He213 Trapezoid fuzzy linguistic prioritized weighted average operator (dpeaa)DE-He213 Trapezoid fuzzy linguistic prioritized weighted geometric operator (dpeaa)DE-He213 Trapezoid fuzzy linguistic prioritized weighted harmonic average operator (dpeaa)DE-He213 Sharma, Bhu Dev aut Enthalten in Journal of Uncertainty Analysis and Applications Berlin : SpringerOpen, 2013 2(2014), 1 vom: 28. Apr. (DE-627)745007392 (DE-600)2713511-1 2195-5468 nnns volume:2 year:2014 number:1 day:28 month:04 https://dx.doi.org/10.1186/2195-5468-2-10 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2 2014 1 28 04 |
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Verma, Rajkumar misc Multiple attribute group decision-making (MAGDM) misc Trapezoid fuzzy linguistic variables misc Prioritized weighted average operator misc Trapezoid fuzzy linguistic prioritized weighted average operator misc Trapezoid fuzzy linguistic prioritized weighted geometric operator misc Trapezoid fuzzy linguistic prioritized weighted harmonic average operator Trapezoid fuzzy linguistic prioritized weighted average operators and their application to multiple attribute group decision-making |
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Trapezoid fuzzy linguistic prioritized weighted average operators and their application to multiple attribute group decision-making Multiple attribute group decision-making (MAGDM) (dpeaa)DE-He213 Trapezoid fuzzy linguistic variables (dpeaa)DE-He213 Prioritized weighted average operator (dpeaa)DE-He213 Trapezoid fuzzy linguistic prioritized weighted average operator (dpeaa)DE-He213 Trapezoid fuzzy linguistic prioritized weighted geometric operator (dpeaa)DE-He213 Trapezoid fuzzy linguistic prioritized weighted harmonic average operator (dpeaa)DE-He213 |
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Trapezoid fuzzy linguistic prioritized weighted average operators and their application to multiple attribute group decision-making |
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Abstract The prioritized weighted average (PWA) operator was originally introduced by Yager. The prominent characteristic of the PWA operator is that it takes into account prioritization among attributes and decision makers. Motivated by the idea of PWA operator, we develop some prioritized weighted aggregation operators for aggregating trapezoid fuzzy linguistic information. The properties of the new aggregation operators are studied in detail. Furthermore, based on the proposed operators, some approaches to deal with multiple attribute group decision-making problems under trapezoid fuzzy linguistic environments are developed. Finally, a practical example is provided to illustrate the multiple attribute group decision-making process. © Verma and Sharma; licensee Springer. 2014. This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License ( |
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Abstract The prioritized weighted average (PWA) operator was originally introduced by Yager. The prominent characteristic of the PWA operator is that it takes into account prioritization among attributes and decision makers. Motivated by the idea of PWA operator, we develop some prioritized weighted aggregation operators for aggregating trapezoid fuzzy linguistic information. The properties of the new aggregation operators are studied in detail. Furthermore, based on the proposed operators, some approaches to deal with multiple attribute group decision-making problems under trapezoid fuzzy linguistic environments are developed. Finally, a practical example is provided to illustrate the multiple attribute group decision-making process. © Verma and Sharma; licensee Springer. 2014. This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License ( |
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Abstract The prioritized weighted average (PWA) operator was originally introduced by Yager. The prominent characteristic of the PWA operator is that it takes into account prioritization among attributes and decision makers. Motivated by the idea of PWA operator, we develop some prioritized weighted aggregation operators for aggregating trapezoid fuzzy linguistic information. The properties of the new aggregation operators are studied in detail. Furthermore, based on the proposed operators, some approaches to deal with multiple attribute group decision-making problems under trapezoid fuzzy linguistic environments are developed. Finally, a practical example is provided to illustrate the multiple attribute group decision-making process. © Verma and Sharma; licensee Springer. 2014. This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License ( |
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