GRA method based on spherical linguistic fuzzy Choquet integral environment and its application in multi-attribute decision-making problems
Abstract The key objective of the proposed work in this paper is to introduce a new version of picture linguistic fuzzy set, so-called spherical linguistic fuzzy sets. The novel concept of spherical linguistic fuzzy set consists of linguistic term, positive, neutral and negative membership degrees w...
Ausführliche Beschreibung
Autor*in: |
Ashraf, Shahzaib [verfasserIn] Abdullah, Saleem [verfasserIn] Mahmood, Tahir [verfasserIn] |
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E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2018 |
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Schlagwörter: |
Spherical linguistic fuzzy Choquet integral weighted averaging (SLFCIWA) operator |
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Übergeordnetes Werk: |
Enthalten in: Mathematical sciences - Tehran : Springer, 2007, 12(2018), 4 vom: 16. Okt., Seite 263-275 |
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Übergeordnetes Werk: |
volume:12 ; year:2018 ; number:4 ; day:16 ; month:10 ; pages:263-275 |
Links: |
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DOI / URN: |
10.1007/s40096-018-0266-0 |
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Katalog-ID: |
SPR032842805 |
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10.1007/s40096-018-0266-0 doi (DE-627)SPR032842805 (SPR)s40096-018-0266-0-e DE-627 ger DE-627 rakwb eng 510 ASE Ashraf, Shahzaib verfasserin aut GRA method based on spherical linguistic fuzzy Choquet integral environment and its application in multi-attribute decision-making problems 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The key objective of the proposed work in this paper is to introduce a new version of picture linguistic fuzzy set, so-called spherical linguistic fuzzy sets. The novel concept of spherical linguistic fuzzy set consists of linguistic term, positive, neutral and negative membership degrees which satisfies the conditions that the square sum of its membership degrees is less than or equal to 1. In this paper, we investigate the basic operations of spherical linguistic fuzzy sets and discuss some related results. We extend operational laws of aggregation operators and propose spherical linguistic fuzzy Choquet integral weighted averaging (SLFCIWA) operator based on spherical fuzzy numbers. Further, the proposed SLFCIWA operator of spherical fuzzy number is applied to multi-attribute group decision-making problems. Also, we propose the GRA method to aggregate the spherical fuzzy information. To implement the proposed models, we provide some numerical applications of group decision-making problems. Also compared with the previous model, we conclude that the proposed technique is more effective and reliable. Choquet integral (dpeaa)DE-He213 Spherical linguistic fuzzy Choquet integral weighted averaging (SLFCIWA) operator (dpeaa)DE-He213 GRA method (dpeaa)DE-He213 Abdullah, Saleem verfasserin aut Mahmood, Tahir verfasserin aut Enthalten in Mathematical sciences Tehran : Springer, 2007 12(2018), 4 vom: 16. Okt., Seite 263-275 (DE-627)665433077 (DE-600)2620704-7 2251-7456 nnns volume:12 year:2018 number:4 day:16 month:10 pages:263-275 https://dx.doi.org/10.1007/s40096-018-0266-0 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 12 2018 4 16 10 263-275 |
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10.1007/s40096-018-0266-0 doi (DE-627)SPR032842805 (SPR)s40096-018-0266-0-e DE-627 ger DE-627 rakwb eng 510 ASE Ashraf, Shahzaib verfasserin aut GRA method based on spherical linguistic fuzzy Choquet integral environment and its application in multi-attribute decision-making problems 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The key objective of the proposed work in this paper is to introduce a new version of picture linguistic fuzzy set, so-called spherical linguistic fuzzy sets. The novel concept of spherical linguistic fuzzy set consists of linguistic term, positive, neutral and negative membership degrees which satisfies the conditions that the square sum of its membership degrees is less than or equal to 1. In this paper, we investigate the basic operations of spherical linguistic fuzzy sets and discuss some related results. We extend operational laws of aggregation operators and propose spherical linguistic fuzzy Choquet integral weighted averaging (SLFCIWA) operator based on spherical fuzzy numbers. Further, the proposed SLFCIWA operator of spherical fuzzy number is applied to multi-attribute group decision-making problems. Also, we propose the GRA method to aggregate the spherical fuzzy information. To implement the proposed models, we provide some numerical applications of group decision-making problems. Also compared with the previous model, we conclude that the proposed technique is more effective and reliable. Choquet integral (dpeaa)DE-He213 Spherical linguistic fuzzy Choquet integral weighted averaging (SLFCIWA) operator (dpeaa)DE-He213 GRA method (dpeaa)DE-He213 Abdullah, Saleem verfasserin aut Mahmood, Tahir verfasserin aut Enthalten in Mathematical sciences Tehran : Springer, 2007 12(2018), 4 vom: 16. Okt., Seite 263-275 (DE-627)665433077 (DE-600)2620704-7 2251-7456 nnns volume:12 year:2018 number:4 day:16 month:10 pages:263-275 https://dx.doi.org/10.1007/s40096-018-0266-0 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 12 2018 4 16 10 263-275 |
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10.1007/s40096-018-0266-0 doi (DE-627)SPR032842805 (SPR)s40096-018-0266-0-e DE-627 ger DE-627 rakwb eng 510 ASE Ashraf, Shahzaib verfasserin aut GRA method based on spherical linguistic fuzzy Choquet integral environment and its application in multi-attribute decision-making problems 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The key objective of the proposed work in this paper is to introduce a new version of picture linguistic fuzzy set, so-called spherical linguistic fuzzy sets. The novel concept of spherical linguistic fuzzy set consists of linguistic term, positive, neutral and negative membership degrees which satisfies the conditions that the square sum of its membership degrees is less than or equal to 1. In this paper, we investigate the basic operations of spherical linguistic fuzzy sets and discuss some related results. We extend operational laws of aggregation operators and propose spherical linguistic fuzzy Choquet integral weighted averaging (SLFCIWA) operator based on spherical fuzzy numbers. Further, the proposed SLFCIWA operator of spherical fuzzy number is applied to multi-attribute group decision-making problems. Also, we propose the GRA method to aggregate the spherical fuzzy information. To implement the proposed models, we provide some numerical applications of group decision-making problems. Also compared with the previous model, we conclude that the proposed technique is more effective and reliable. Choquet integral (dpeaa)DE-He213 Spherical linguistic fuzzy Choquet integral weighted averaging (SLFCIWA) operator (dpeaa)DE-He213 GRA method (dpeaa)DE-He213 Abdullah, Saleem verfasserin aut Mahmood, Tahir verfasserin aut Enthalten in Mathematical sciences Tehran : Springer, 2007 12(2018), 4 vom: 16. Okt., Seite 263-275 (DE-627)665433077 (DE-600)2620704-7 2251-7456 nnns volume:12 year:2018 number:4 day:16 month:10 pages:263-275 https://dx.doi.org/10.1007/s40096-018-0266-0 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 12 2018 4 16 10 263-275 |
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10.1007/s40096-018-0266-0 doi (DE-627)SPR032842805 (SPR)s40096-018-0266-0-e DE-627 ger DE-627 rakwb eng 510 ASE Ashraf, Shahzaib verfasserin aut GRA method based on spherical linguistic fuzzy Choquet integral environment and its application in multi-attribute decision-making problems 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The key objective of the proposed work in this paper is to introduce a new version of picture linguistic fuzzy set, so-called spherical linguistic fuzzy sets. The novel concept of spherical linguistic fuzzy set consists of linguistic term, positive, neutral and negative membership degrees which satisfies the conditions that the square sum of its membership degrees is less than or equal to 1. In this paper, we investigate the basic operations of spherical linguistic fuzzy sets and discuss some related results. We extend operational laws of aggregation operators and propose spherical linguistic fuzzy Choquet integral weighted averaging (SLFCIWA) operator based on spherical fuzzy numbers. Further, the proposed SLFCIWA operator of spherical fuzzy number is applied to multi-attribute group decision-making problems. Also, we propose the GRA method to aggregate the spherical fuzzy information. To implement the proposed models, we provide some numerical applications of group decision-making problems. Also compared with the previous model, we conclude that the proposed technique is more effective and reliable. Choquet integral (dpeaa)DE-He213 Spherical linguistic fuzzy Choquet integral weighted averaging (SLFCIWA) operator (dpeaa)DE-He213 GRA method (dpeaa)DE-He213 Abdullah, Saleem verfasserin aut Mahmood, Tahir verfasserin aut Enthalten in Mathematical sciences Tehran : Springer, 2007 12(2018), 4 vom: 16. Okt., Seite 263-275 (DE-627)665433077 (DE-600)2620704-7 2251-7456 nnns volume:12 year:2018 number:4 day:16 month:10 pages:263-275 https://dx.doi.org/10.1007/s40096-018-0266-0 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 12 2018 4 16 10 263-275 |
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10.1007/s40096-018-0266-0 doi (DE-627)SPR032842805 (SPR)s40096-018-0266-0-e DE-627 ger DE-627 rakwb eng 510 ASE Ashraf, Shahzaib verfasserin aut GRA method based on spherical linguistic fuzzy Choquet integral environment and its application in multi-attribute decision-making problems 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The key objective of the proposed work in this paper is to introduce a new version of picture linguistic fuzzy set, so-called spherical linguistic fuzzy sets. The novel concept of spherical linguistic fuzzy set consists of linguistic term, positive, neutral and negative membership degrees which satisfies the conditions that the square sum of its membership degrees is less than or equal to 1. In this paper, we investigate the basic operations of spherical linguistic fuzzy sets and discuss some related results. We extend operational laws of aggregation operators and propose spherical linguistic fuzzy Choquet integral weighted averaging (SLFCIWA) operator based on spherical fuzzy numbers. Further, the proposed SLFCIWA operator of spherical fuzzy number is applied to multi-attribute group decision-making problems. Also, we propose the GRA method to aggregate the spherical fuzzy information. To implement the proposed models, we provide some numerical applications of group decision-making problems. Also compared with the previous model, we conclude that the proposed technique is more effective and reliable. Choquet integral (dpeaa)DE-He213 Spherical linguistic fuzzy Choquet integral weighted averaging (SLFCIWA) operator (dpeaa)DE-He213 GRA method (dpeaa)DE-He213 Abdullah, Saleem verfasserin aut Mahmood, Tahir verfasserin aut Enthalten in Mathematical sciences Tehran : Springer, 2007 12(2018), 4 vom: 16. Okt., Seite 263-275 (DE-627)665433077 (DE-600)2620704-7 2251-7456 nnns volume:12 year:2018 number:4 day:16 month:10 pages:263-275 https://dx.doi.org/10.1007/s40096-018-0266-0 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 12 2018 4 16 10 263-275 |
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gra method based on spherical linguistic fuzzy choquet integral environment and its application in multi-attribute decision-making problems |
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GRA method based on spherical linguistic fuzzy Choquet integral environment and its application in multi-attribute decision-making problems |
abstract |
Abstract The key objective of the proposed work in this paper is to introduce a new version of picture linguistic fuzzy set, so-called spherical linguistic fuzzy sets. The novel concept of spherical linguistic fuzzy set consists of linguistic term, positive, neutral and negative membership degrees which satisfies the conditions that the square sum of its membership degrees is less than or equal to 1. In this paper, we investigate the basic operations of spherical linguistic fuzzy sets and discuss some related results. We extend operational laws of aggregation operators and propose spherical linguistic fuzzy Choquet integral weighted averaging (SLFCIWA) operator based on spherical fuzzy numbers. Further, the proposed SLFCIWA operator of spherical fuzzy number is applied to multi-attribute group decision-making problems. Also, we propose the GRA method to aggregate the spherical fuzzy information. To implement the proposed models, we provide some numerical applications of group decision-making problems. Also compared with the previous model, we conclude that the proposed technique is more effective and reliable. |
abstractGer |
Abstract The key objective of the proposed work in this paper is to introduce a new version of picture linguistic fuzzy set, so-called spherical linguistic fuzzy sets. The novel concept of spherical linguistic fuzzy set consists of linguistic term, positive, neutral and negative membership degrees which satisfies the conditions that the square sum of its membership degrees is less than or equal to 1. In this paper, we investigate the basic operations of spherical linguistic fuzzy sets and discuss some related results. We extend operational laws of aggregation operators and propose spherical linguistic fuzzy Choquet integral weighted averaging (SLFCIWA) operator based on spherical fuzzy numbers. Further, the proposed SLFCIWA operator of spherical fuzzy number is applied to multi-attribute group decision-making problems. Also, we propose the GRA method to aggregate the spherical fuzzy information. To implement the proposed models, we provide some numerical applications of group decision-making problems. Also compared with the previous model, we conclude that the proposed technique is more effective and reliable. |
abstract_unstemmed |
Abstract The key objective of the proposed work in this paper is to introduce a new version of picture linguistic fuzzy set, so-called spherical linguistic fuzzy sets. The novel concept of spherical linguistic fuzzy set consists of linguistic term, positive, neutral and negative membership degrees which satisfies the conditions that the square sum of its membership degrees is less than or equal to 1. In this paper, we investigate the basic operations of spherical linguistic fuzzy sets and discuss some related results. We extend operational laws of aggregation operators and propose spherical linguistic fuzzy Choquet integral weighted averaging (SLFCIWA) operator based on spherical fuzzy numbers. Further, the proposed SLFCIWA operator of spherical fuzzy number is applied to multi-attribute group decision-making problems. Also, we propose the GRA method to aggregate the spherical fuzzy information. To implement the proposed models, we provide some numerical applications of group decision-making problems. Also compared with the previous model, we conclude that the proposed technique is more effective and reliable. |
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GRA method based on spherical linguistic fuzzy Choquet integral environment and its application in multi-attribute decision-making problems |
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score |
7.3998213 |