On a New Kind of Collection of Subsets Noted by δ–field and Some Concepts Defined on δ–field
The objective of this paper is, first, study a new collection of sets such as field and we discuss the properties of this collection. Second, introduce a new concepts related to the field such as measure on field, outer measure on field and we obtain some important results deals with these conc...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Hassan H. Ebrahim [verfasserIn] Ibrahim S. Ahmed [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2019 |
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| Schlagwörter: |
: σ–field, measure on σ–field, monotone measure, null-additive. |
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| Übergeordnetes Werk: |
In: Ibn Al-Haitham Journal for Pure and Applied Sciences - University of Baghdad, 2019, 32(2019), 2 |
|---|---|
| Übergeordnetes Werk: |
volume:32 ; year:2019 ; number:2 |
| Links: |
Link aufrufen |
|---|
| DOI / URN: |
10.30526/32.2.2140 |
|---|
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DOAJ025964011 |
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10.30526/32.2.2140 doi (DE-627)DOAJ025964011 (DE-599)DOAJb9b3db4d090d433d80d3f381e2a84972 DE-627 ger DE-627 rakwb eng Hassan H. Ebrahim verfasserin aut On a New Kind of Collection of Subsets Noted by δ–field and Some Concepts Defined on δ–field 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The objective of this paper is, first, study a new collection of sets such as field and we discuss the properties of this collection. Second, introduce a new concepts related to the field such as measure on field, outer measure on field and we obtain some important results deals with these concepts. Third, introduce the concept of null-additive on field as a generalization of the concept of measure on field. Furthermore, we establish new concept related to - field noted by weakly null-additive on field as a generalizations of the concepts of measure on and null-additive. Finally, we introduce the restriction of a set function on field and many of its properties and characterizations are given. : σ–field, measure on σ–field, monotone measure, null-additive. Science Q Ibrahim S. Ahmed verfasserin aut In Ibn Al-Haitham Journal for Pure and Applied Sciences University of Baghdad, 2019 32(2019), 2 (DE-627)756825806 (DE-600)2727526-7 25213407 nnns volume:32 year:2019 number:2 https://doi.org/10.30526/32.2.2140 kostenfrei https://doaj.org/article/b9b3db4d090d433d80d3f381e2a84972 kostenfrei https://jih.uobaghdad.edu.iq/index.php/j/article/view/2140 kostenfrei https://doaj.org/toc/1609-4042 Journal toc kostenfrei https://doaj.org/toc/2521-3407 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 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_171 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 32 2019 2 |
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10.30526/32.2.2140 doi (DE-627)DOAJ025964011 (DE-599)DOAJb9b3db4d090d433d80d3f381e2a84972 DE-627 ger DE-627 rakwb eng Hassan H. Ebrahim verfasserin aut On a New Kind of Collection of Subsets Noted by δ–field and Some Concepts Defined on δ–field 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The objective of this paper is, first, study a new collection of sets such as field and we discuss the properties of this collection. Second, introduce a new concepts related to the field such as measure on field, outer measure on field and we obtain some important results deals with these concepts. Third, introduce the concept of null-additive on field as a generalization of the concept of measure on field. Furthermore, we establish new concept related to - field noted by weakly null-additive on field as a generalizations of the concepts of measure on and null-additive. Finally, we introduce the restriction of a set function on field and many of its properties and characterizations are given. : σ–field, measure on σ–field, monotone measure, null-additive. Science Q Ibrahim S. Ahmed verfasserin aut In Ibn Al-Haitham Journal for Pure and Applied Sciences University of Baghdad, 2019 32(2019), 2 (DE-627)756825806 (DE-600)2727526-7 25213407 nnns volume:32 year:2019 number:2 https://doi.org/10.30526/32.2.2140 kostenfrei https://doaj.org/article/b9b3db4d090d433d80d3f381e2a84972 kostenfrei https://jih.uobaghdad.edu.iq/index.php/j/article/view/2140 kostenfrei https://doaj.org/toc/1609-4042 Journal toc kostenfrei https://doaj.org/toc/2521-3407 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 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_171 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 32 2019 2 |
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10.30526/32.2.2140 doi (DE-627)DOAJ025964011 (DE-599)DOAJb9b3db4d090d433d80d3f381e2a84972 DE-627 ger DE-627 rakwb eng Hassan H. Ebrahim verfasserin aut On a New Kind of Collection of Subsets Noted by δ–field and Some Concepts Defined on δ–field 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The objective of this paper is, first, study a new collection of sets such as field and we discuss the properties of this collection. Second, introduce a new concepts related to the field such as measure on field, outer measure on field and we obtain some important results deals with these concepts. Third, introduce the concept of null-additive on field as a generalization of the concept of measure on field. Furthermore, we establish new concept related to - field noted by weakly null-additive on field as a generalizations of the concepts of measure on and null-additive. Finally, we introduce the restriction of a set function on field and many of its properties and characterizations are given. : σ–field, measure on σ–field, monotone measure, null-additive. Science Q Ibrahim S. Ahmed verfasserin aut In Ibn Al-Haitham Journal for Pure and Applied Sciences University of Baghdad, 2019 32(2019), 2 (DE-627)756825806 (DE-600)2727526-7 25213407 nnns volume:32 year:2019 number:2 https://doi.org/10.30526/32.2.2140 kostenfrei https://doaj.org/article/b9b3db4d090d433d80d3f381e2a84972 kostenfrei https://jih.uobaghdad.edu.iq/index.php/j/article/view/2140 kostenfrei https://doaj.org/toc/1609-4042 Journal toc kostenfrei https://doaj.org/toc/2521-3407 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 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_171 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 32 2019 2 |
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10.30526/32.2.2140 doi (DE-627)DOAJ025964011 (DE-599)DOAJb9b3db4d090d433d80d3f381e2a84972 DE-627 ger DE-627 rakwb eng Hassan H. Ebrahim verfasserin aut On a New Kind of Collection of Subsets Noted by δ–field and Some Concepts Defined on δ–field 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The objective of this paper is, first, study a new collection of sets such as field and we discuss the properties of this collection. Second, introduce a new concepts related to the field such as measure on field, outer measure on field and we obtain some important results deals with these concepts. Third, introduce the concept of null-additive on field as a generalization of the concept of measure on field. Furthermore, we establish new concept related to - field noted by weakly null-additive on field as a generalizations of the concepts of measure on and null-additive. Finally, we introduce the restriction of a set function on field and many of its properties and characterizations are given. : σ–field, measure on σ–field, monotone measure, null-additive. Science Q Ibrahim S. Ahmed verfasserin aut In Ibn Al-Haitham Journal for Pure and Applied Sciences University of Baghdad, 2019 32(2019), 2 (DE-627)756825806 (DE-600)2727526-7 25213407 nnns volume:32 year:2019 number:2 https://doi.org/10.30526/32.2.2140 kostenfrei https://doaj.org/article/b9b3db4d090d433d80d3f381e2a84972 kostenfrei https://jih.uobaghdad.edu.iq/index.php/j/article/view/2140 kostenfrei https://doaj.org/toc/1609-4042 Journal toc kostenfrei https://doaj.org/toc/2521-3407 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 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_171 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 32 2019 2 |
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10.30526/32.2.2140 doi (DE-627)DOAJ025964011 (DE-599)DOAJb9b3db4d090d433d80d3f381e2a84972 DE-627 ger DE-627 rakwb eng Hassan H. Ebrahim verfasserin aut On a New Kind of Collection of Subsets Noted by δ–field and Some Concepts Defined on δ–field 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The objective of this paper is, first, study a new collection of sets such as field and we discuss the properties of this collection. Second, introduce a new concepts related to the field such as measure on field, outer measure on field and we obtain some important results deals with these concepts. Third, introduce the concept of null-additive on field as a generalization of the concept of measure on field. Furthermore, we establish new concept related to - field noted by weakly null-additive on field as a generalizations of the concepts of measure on and null-additive. Finally, we introduce the restriction of a set function on field and many of its properties and characterizations are given. : σ–field, measure on σ–field, monotone measure, null-additive. Science Q Ibrahim S. Ahmed verfasserin aut In Ibn Al-Haitham Journal for Pure and Applied Sciences University of Baghdad, 2019 32(2019), 2 (DE-627)756825806 (DE-600)2727526-7 25213407 nnns volume:32 year:2019 number:2 https://doi.org/10.30526/32.2.2140 kostenfrei https://doaj.org/article/b9b3db4d090d433d80d3f381e2a84972 kostenfrei https://jih.uobaghdad.edu.iq/index.php/j/article/view/2140 kostenfrei https://doaj.org/toc/1609-4042 Journal toc kostenfrei https://doaj.org/toc/2521-3407 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 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_171 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 32 2019 2 |
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On a New Kind of Collection of Subsets Noted by δ–field and Some Concepts Defined on δ–field : σ–field, measure on σ–field, monotone measure, null-additive |
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On a New Kind of Collection of Subsets Noted by δ–field and Some Concepts Defined on δ–field |
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The objective of this paper is, first, study a new collection of sets such as field and we discuss the properties of this collection. Second, introduce a new concepts related to the field such as measure on field, outer measure on field and we obtain some important results deals with these concepts. Third, introduce the concept of null-additive on field as a generalization of the concept of measure on field. Furthermore, we establish new concept related to - field noted by weakly null-additive on field as a generalizations of the concepts of measure on and null-additive. Finally, we introduce the restriction of a set function on field and many of its properties and characterizations are given. |
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The objective of this paper is, first, study a new collection of sets such as field and we discuss the properties of this collection. Second, introduce a new concepts related to the field such as measure on field, outer measure on field and we obtain some important results deals with these concepts. Third, introduce the concept of null-additive on field as a generalization of the concept of measure on field. Furthermore, we establish new concept related to - field noted by weakly null-additive on field as a generalizations of the concepts of measure on and null-additive. Finally, we introduce the restriction of a set function on field and many of its properties and characterizations are given. |
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The objective of this paper is, first, study a new collection of sets such as field and we discuss the properties of this collection. Second, introduce a new concepts related to the field such as measure on field, outer measure on field and we obtain some important results deals with these concepts. Third, introduce the concept of null-additive on field as a generalization of the concept of measure on field. Furthermore, we establish new concept related to - field noted by weakly null-additive on field as a generalizations of the concepts of measure on and null-additive. Finally, we introduce the restriction of a set function on field and many of its properties and characterizations are given. |
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| score |
7.3975964 |