A novel cross-entropy and entropy measures of IFSs and their applications
In this paper we discussed novel cross-entropy and entropy models on intuitionism and fuzziness of intuitionistic fuzzy sets (IFSs). In order to measure the discrimination uncertain information, cross-entropy and symmetric cross-entropy are defined based on intuitionistic factor and fuzzy factor. In...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Mao, Junjun [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2013transfer abstract |
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| Schlagwörter: |
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| Umfang: |
9 |
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| Übergeordnetes Werk: |
Enthalten in: Subsurface fluid flow at an active cold seep area in the Qiongdongnan Basin, northern South China Sea - Wang, Jiliang ELSEVIER, 2018, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:48 ; year:2013 ; pages:37-45 ; extent:9 |
| Links: |
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| DOI / URN: |
10.1016/j.knosys.2013.04.011 |
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ELV027404854 |
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| 520 | |a In this paper we discussed novel cross-entropy and entropy models on intuitionism and fuzziness of intuitionistic fuzzy sets (IFSs). In order to measure the discrimination uncertain information, cross-entropy and symmetric cross-entropy are defined based on intuitionistic factor and fuzzy factor. In particular, the constructive principle of entropy is refined; relationship between cross-entropy and entropy is investigated, so we establish a novel intuitionistic fuzzy entropy formula that simultaneously takes into account intuitionistic entropy and fuzzy entropy. We also propose concepts of marginal rate of substitution (MRS) and elasticity of substitution (ES) to describe substitution effect between intuitionism and fuzziness. Moreover, we extend the cross-entropy and entropy models to general version, which could be adjusted by different parameters, and comparative analysis with other existed cross-entropy and entropy measures are presented. Finally, we give applications of pattern recognition and decision making to demonstrate the efficiency of the cross-entropy and entropy models. | ||
| 520 | |a In this paper we discussed novel cross-entropy and entropy models on intuitionism and fuzziness of intuitionistic fuzzy sets (IFSs). In order to measure the discrimination uncertain information, cross-entropy and symmetric cross-entropy are defined based on intuitionistic factor and fuzzy factor. In particular, the constructive principle of entropy is refined; relationship between cross-entropy and entropy is investigated, so we establish a novel intuitionistic fuzzy entropy formula that simultaneously takes into account intuitionistic entropy and fuzzy entropy. We also propose concepts of marginal rate of substitution (MRS) and elasticity of substitution (ES) to describe substitution effect between intuitionism and fuzziness. Moreover, we extend the cross-entropy and entropy models to general version, which could be adjusted by different parameters, and comparative analysis with other existed cross-entropy and entropy measures are presented. Finally, we give applications of pattern recognition and decision making to demonstrate the efficiency of the cross-entropy and entropy models. | ||
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| 650 | 7 | |a Intuitionistic fuzzy entropy |2 Elsevier | |
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| 650 | 7 | |a IFSs |2 Elsevier | |
| 650 | 7 | |a MRS |2 Elsevier | |
| 700 | 1 | |a Yao, Dengbao |4 oth | |
| 700 | 1 | |a Wang, Cuicui |4 oth | |
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10.1016/j.knosys.2013.04.011 doi GBVA2013015000030.pica (DE-627)ELV027404854 (ELSEVIER)S0950-7051(13)00123-8 DE-627 ger DE-627 rakwb eng 004 004 DE-600 550 VZ 38.00 bkl Mao, Junjun verfasserin aut A novel cross-entropy and entropy measures of IFSs and their applications 2013transfer abstract 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper we discussed novel cross-entropy and entropy models on intuitionism and fuzziness of intuitionistic fuzzy sets (IFSs). In order to measure the discrimination uncertain information, cross-entropy and symmetric cross-entropy are defined based on intuitionistic factor and fuzzy factor. In particular, the constructive principle of entropy is refined; relationship between cross-entropy and entropy is investigated, so we establish a novel intuitionistic fuzzy entropy formula that simultaneously takes into account intuitionistic entropy and fuzzy entropy. We also propose concepts of marginal rate of substitution (MRS) and elasticity of substitution (ES) to describe substitution effect between intuitionism and fuzziness. Moreover, we extend the cross-entropy and entropy models to general version, which could be adjusted by different parameters, and comparative analysis with other existed cross-entropy and entropy measures are presented. Finally, we give applications of pattern recognition and decision making to demonstrate the efficiency of the cross-entropy and entropy models. In this paper we discussed novel cross-entropy and entropy models on intuitionism and fuzziness of intuitionistic fuzzy sets (IFSs). In order to measure the discrimination uncertain information, cross-entropy and symmetric cross-entropy are defined based on intuitionistic factor and fuzzy factor. In particular, the constructive principle of entropy is refined; relationship between cross-entropy and entropy is investigated, so we establish a novel intuitionistic fuzzy entropy formula that simultaneously takes into account intuitionistic entropy and fuzzy entropy. We also propose concepts of marginal rate of substitution (MRS) and elasticity of substitution (ES) to describe substitution effect between intuitionism and fuzziness. Moreover, we extend the cross-entropy and entropy models to general version, which could be adjusted by different parameters, and comparative analysis with other existed cross-entropy and entropy measures are presented. Finally, we give applications of pattern recognition and decision making to demonstrate the efficiency of the cross-entropy and entropy models. Parameters Elsevier Intuitionistic fuzzy entropy Elsevier Cross-entropy Elsevier IFSs Elsevier MRS Elsevier Yao, Dengbao oth Wang, Cuicui oth Enthalten in Elsevier Science Wang, Jiliang ELSEVIER Subsurface fluid flow at an active cold seep area in the Qiongdongnan Basin, northern South China Sea 2018 Amsterdam [u.a.] (DE-627)ELV001104926 volume:48 year:2013 pages:37-45 extent:9 https://doi.org/10.1016/j.knosys.2013.04.011 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-GGO 38.00 Geowissenschaften: Allgemeines VZ AR 48 2013 37-45 9 045F 004 |
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10.1016/j.knosys.2013.04.011 doi GBVA2013015000030.pica (DE-627)ELV027404854 (ELSEVIER)S0950-7051(13)00123-8 DE-627 ger DE-627 rakwb eng 004 004 DE-600 550 VZ 38.00 bkl Mao, Junjun verfasserin aut A novel cross-entropy and entropy measures of IFSs and their applications 2013transfer abstract 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper we discussed novel cross-entropy and entropy models on intuitionism and fuzziness of intuitionistic fuzzy sets (IFSs). In order to measure the discrimination uncertain information, cross-entropy and symmetric cross-entropy are defined based on intuitionistic factor and fuzzy factor. In particular, the constructive principle of entropy is refined; relationship between cross-entropy and entropy is investigated, so we establish a novel intuitionistic fuzzy entropy formula that simultaneously takes into account intuitionistic entropy and fuzzy entropy. We also propose concepts of marginal rate of substitution (MRS) and elasticity of substitution (ES) to describe substitution effect between intuitionism and fuzziness. Moreover, we extend the cross-entropy and entropy models to general version, which could be adjusted by different parameters, and comparative analysis with other existed cross-entropy and entropy measures are presented. Finally, we give applications of pattern recognition and decision making to demonstrate the efficiency of the cross-entropy and entropy models. In this paper we discussed novel cross-entropy and entropy models on intuitionism and fuzziness of intuitionistic fuzzy sets (IFSs). In order to measure the discrimination uncertain information, cross-entropy and symmetric cross-entropy are defined based on intuitionistic factor and fuzzy factor. In particular, the constructive principle of entropy is refined; relationship between cross-entropy and entropy is investigated, so we establish a novel intuitionistic fuzzy entropy formula that simultaneously takes into account intuitionistic entropy and fuzzy entropy. We also propose concepts of marginal rate of substitution (MRS) and elasticity of substitution (ES) to describe substitution effect between intuitionism and fuzziness. Moreover, we extend the cross-entropy and entropy models to general version, which could be adjusted by different parameters, and comparative analysis with other existed cross-entropy and entropy measures are presented. Finally, we give applications of pattern recognition and decision making to demonstrate the efficiency of the cross-entropy and entropy models. Parameters Elsevier Intuitionistic fuzzy entropy Elsevier Cross-entropy Elsevier IFSs Elsevier MRS Elsevier Yao, Dengbao oth Wang, Cuicui oth Enthalten in Elsevier Science Wang, Jiliang ELSEVIER Subsurface fluid flow at an active cold seep area in the Qiongdongnan Basin, northern South China Sea 2018 Amsterdam [u.a.] (DE-627)ELV001104926 volume:48 year:2013 pages:37-45 extent:9 https://doi.org/10.1016/j.knosys.2013.04.011 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-GGO 38.00 Geowissenschaften: Allgemeines VZ AR 48 2013 37-45 9 045F 004 |
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10.1016/j.knosys.2013.04.011 doi GBVA2013015000030.pica (DE-627)ELV027404854 (ELSEVIER)S0950-7051(13)00123-8 DE-627 ger DE-627 rakwb eng 004 004 DE-600 550 VZ 38.00 bkl Mao, Junjun verfasserin aut A novel cross-entropy and entropy measures of IFSs and their applications 2013transfer abstract 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper we discussed novel cross-entropy and entropy models on intuitionism and fuzziness of intuitionistic fuzzy sets (IFSs). In order to measure the discrimination uncertain information, cross-entropy and symmetric cross-entropy are defined based on intuitionistic factor and fuzzy factor. In particular, the constructive principle of entropy is refined; relationship between cross-entropy and entropy is investigated, so we establish a novel intuitionistic fuzzy entropy formula that simultaneously takes into account intuitionistic entropy and fuzzy entropy. We also propose concepts of marginal rate of substitution (MRS) and elasticity of substitution (ES) to describe substitution effect between intuitionism and fuzziness. Moreover, we extend the cross-entropy and entropy models to general version, which could be adjusted by different parameters, and comparative analysis with other existed cross-entropy and entropy measures are presented. Finally, we give applications of pattern recognition and decision making to demonstrate the efficiency of the cross-entropy and entropy models. In this paper we discussed novel cross-entropy and entropy models on intuitionism and fuzziness of intuitionistic fuzzy sets (IFSs). In order to measure the discrimination uncertain information, cross-entropy and symmetric cross-entropy are defined based on intuitionistic factor and fuzzy factor. In particular, the constructive principle of entropy is refined; relationship between cross-entropy and entropy is investigated, so we establish a novel intuitionistic fuzzy entropy formula that simultaneously takes into account intuitionistic entropy and fuzzy entropy. We also propose concepts of marginal rate of substitution (MRS) and elasticity of substitution (ES) to describe substitution effect between intuitionism and fuzziness. Moreover, we extend the cross-entropy and entropy models to general version, which could be adjusted by different parameters, and comparative analysis with other existed cross-entropy and entropy measures are presented. Finally, we give applications of pattern recognition and decision making to demonstrate the efficiency of the cross-entropy and entropy models. Parameters Elsevier Intuitionistic fuzzy entropy Elsevier Cross-entropy Elsevier IFSs Elsevier MRS Elsevier Yao, Dengbao oth Wang, Cuicui oth Enthalten in Elsevier Science Wang, Jiliang ELSEVIER Subsurface fluid flow at an active cold seep area in the Qiongdongnan Basin, northern South China Sea 2018 Amsterdam [u.a.] (DE-627)ELV001104926 volume:48 year:2013 pages:37-45 extent:9 https://doi.org/10.1016/j.knosys.2013.04.011 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-GGO 38.00 Geowissenschaften: Allgemeines VZ AR 48 2013 37-45 9 045F 004 |
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10.1016/j.knosys.2013.04.011 doi GBVA2013015000030.pica (DE-627)ELV027404854 (ELSEVIER)S0950-7051(13)00123-8 DE-627 ger DE-627 rakwb eng 004 004 DE-600 550 VZ 38.00 bkl Mao, Junjun verfasserin aut A novel cross-entropy and entropy measures of IFSs and their applications 2013transfer abstract 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper we discussed novel cross-entropy and entropy models on intuitionism and fuzziness of intuitionistic fuzzy sets (IFSs). In order to measure the discrimination uncertain information, cross-entropy and symmetric cross-entropy are defined based on intuitionistic factor and fuzzy factor. In particular, the constructive principle of entropy is refined; relationship between cross-entropy and entropy is investigated, so we establish a novel intuitionistic fuzzy entropy formula that simultaneously takes into account intuitionistic entropy and fuzzy entropy. We also propose concepts of marginal rate of substitution (MRS) and elasticity of substitution (ES) to describe substitution effect between intuitionism and fuzziness. Moreover, we extend the cross-entropy and entropy models to general version, which could be adjusted by different parameters, and comparative analysis with other existed cross-entropy and entropy measures are presented. Finally, we give applications of pattern recognition and decision making to demonstrate the efficiency of the cross-entropy and entropy models. In this paper we discussed novel cross-entropy and entropy models on intuitionism and fuzziness of intuitionistic fuzzy sets (IFSs). In order to measure the discrimination uncertain information, cross-entropy and symmetric cross-entropy are defined based on intuitionistic factor and fuzzy factor. In particular, the constructive principle of entropy is refined; relationship between cross-entropy and entropy is investigated, so we establish a novel intuitionistic fuzzy entropy formula that simultaneously takes into account intuitionistic entropy and fuzzy entropy. We also propose concepts of marginal rate of substitution (MRS) and elasticity of substitution (ES) to describe substitution effect between intuitionism and fuzziness. Moreover, we extend the cross-entropy and entropy models to general version, which could be adjusted by different parameters, and comparative analysis with other existed cross-entropy and entropy measures are presented. Finally, we give applications of pattern recognition and decision making to demonstrate the efficiency of the cross-entropy and entropy models. Parameters Elsevier Intuitionistic fuzzy entropy Elsevier Cross-entropy Elsevier IFSs Elsevier MRS Elsevier Yao, Dengbao oth Wang, Cuicui oth Enthalten in Elsevier Science Wang, Jiliang ELSEVIER Subsurface fluid flow at an active cold seep area in the Qiongdongnan Basin, northern South China Sea 2018 Amsterdam [u.a.] (DE-627)ELV001104926 volume:48 year:2013 pages:37-45 extent:9 https://doi.org/10.1016/j.knosys.2013.04.011 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-GGO 38.00 Geowissenschaften: Allgemeines VZ AR 48 2013 37-45 9 045F 004 |
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10.1016/j.knosys.2013.04.011 doi GBVA2013015000030.pica (DE-627)ELV027404854 (ELSEVIER)S0950-7051(13)00123-8 DE-627 ger DE-627 rakwb eng 004 004 DE-600 550 VZ 38.00 bkl Mao, Junjun verfasserin aut A novel cross-entropy and entropy measures of IFSs and their applications 2013transfer abstract 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper we discussed novel cross-entropy and entropy models on intuitionism and fuzziness of intuitionistic fuzzy sets (IFSs). In order to measure the discrimination uncertain information, cross-entropy and symmetric cross-entropy are defined based on intuitionistic factor and fuzzy factor. In particular, the constructive principle of entropy is refined; relationship between cross-entropy and entropy is investigated, so we establish a novel intuitionistic fuzzy entropy formula that simultaneously takes into account intuitionistic entropy and fuzzy entropy. We also propose concepts of marginal rate of substitution (MRS) and elasticity of substitution (ES) to describe substitution effect between intuitionism and fuzziness. Moreover, we extend the cross-entropy and entropy models to general version, which could be adjusted by different parameters, and comparative analysis with other existed cross-entropy and entropy measures are presented. Finally, we give applications of pattern recognition and decision making to demonstrate the efficiency of the cross-entropy and entropy models. In this paper we discussed novel cross-entropy and entropy models on intuitionism and fuzziness of intuitionistic fuzzy sets (IFSs). In order to measure the discrimination uncertain information, cross-entropy and symmetric cross-entropy are defined based on intuitionistic factor and fuzzy factor. In particular, the constructive principle of entropy is refined; relationship between cross-entropy and entropy is investigated, so we establish a novel intuitionistic fuzzy entropy formula that simultaneously takes into account intuitionistic entropy and fuzzy entropy. We also propose concepts of marginal rate of substitution (MRS) and elasticity of substitution (ES) to describe substitution effect between intuitionism and fuzziness. Moreover, we extend the cross-entropy and entropy models to general version, which could be adjusted by different parameters, and comparative analysis with other existed cross-entropy and entropy measures are presented. Finally, we give applications of pattern recognition and decision making to demonstrate the efficiency of the cross-entropy and entropy models. Parameters Elsevier Intuitionistic fuzzy entropy Elsevier Cross-entropy Elsevier IFSs Elsevier MRS Elsevier Yao, Dengbao oth Wang, Cuicui oth Enthalten in Elsevier Science Wang, Jiliang ELSEVIER Subsurface fluid flow at an active cold seep area in the Qiongdongnan Basin, northern South China Sea 2018 Amsterdam [u.a.] (DE-627)ELV001104926 volume:48 year:2013 pages:37-45 extent:9 https://doi.org/10.1016/j.knosys.2013.04.011 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-GGO 38.00 Geowissenschaften: Allgemeines VZ AR 48 2013 37-45 9 045F 004 |
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Enthalten in Subsurface fluid flow at an active cold seep area in the Qiongdongnan Basin, northern South China Sea Amsterdam [u.a.] volume:48 year:2013 pages:37-45 extent:9 |
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Enthalten in Subsurface fluid flow at an active cold seep area in the Qiongdongnan Basin, northern South China Sea Amsterdam [u.a.] volume:48 year:2013 pages:37-45 extent:9 |
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Subsurface fluid flow at an active cold seep area in the Qiongdongnan Basin, northern South China Sea |
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A novel cross-entropy and entropy measures of IFSs and their applications |
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In this paper we discussed novel cross-entropy and entropy models on intuitionism and fuzziness of intuitionistic fuzzy sets (IFSs). In order to measure the discrimination uncertain information, cross-entropy and symmetric cross-entropy are defined based on intuitionistic factor and fuzzy factor. In particular, the constructive principle of entropy is refined; relationship between cross-entropy and entropy is investigated, so we establish a novel intuitionistic fuzzy entropy formula that simultaneously takes into account intuitionistic entropy and fuzzy entropy. We also propose concepts of marginal rate of substitution (MRS) and elasticity of substitution (ES) to describe substitution effect between intuitionism and fuzziness. Moreover, we extend the cross-entropy and entropy models to general version, which could be adjusted by different parameters, and comparative analysis with other existed cross-entropy and entropy measures are presented. Finally, we give applications of pattern recognition and decision making to demonstrate the efficiency of the cross-entropy and entropy models. |
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In this paper we discussed novel cross-entropy and entropy models on intuitionism and fuzziness of intuitionistic fuzzy sets (IFSs). In order to measure the discrimination uncertain information, cross-entropy and symmetric cross-entropy are defined based on intuitionistic factor and fuzzy factor. In particular, the constructive principle of entropy is refined; relationship between cross-entropy and entropy is investigated, so we establish a novel intuitionistic fuzzy entropy formula that simultaneously takes into account intuitionistic entropy and fuzzy entropy. We also propose concepts of marginal rate of substitution (MRS) and elasticity of substitution (ES) to describe substitution effect between intuitionism and fuzziness. Moreover, we extend the cross-entropy and entropy models to general version, which could be adjusted by different parameters, and comparative analysis with other existed cross-entropy and entropy measures are presented. Finally, we give applications of pattern recognition and decision making to demonstrate the efficiency of the cross-entropy and entropy models. |
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In this paper we discussed novel cross-entropy and entropy models on intuitionism and fuzziness of intuitionistic fuzzy sets (IFSs). In order to measure the discrimination uncertain information, cross-entropy and symmetric cross-entropy are defined based on intuitionistic factor and fuzzy factor. In particular, the constructive principle of entropy is refined; relationship between cross-entropy and entropy is investigated, so we establish a novel intuitionistic fuzzy entropy formula that simultaneously takes into account intuitionistic entropy and fuzzy entropy. We also propose concepts of marginal rate of substitution (MRS) and elasticity of substitution (ES) to describe substitution effect between intuitionism and fuzziness. Moreover, we extend the cross-entropy and entropy models to general version, which could be adjusted by different parameters, and comparative analysis with other existed cross-entropy and entropy measures are presented. Finally, we give applications of pattern recognition and decision making to demonstrate the efficiency of the cross-entropy and entropy models. |
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