A general inequality of Chebyshev type for semi(co)normed fuzzy integrals
Abstract Generalization of the Chebyshev inequality for semi(co)normed fuzzy integrals on an abstract fuzzy measure space based on a binary operation is given. Also, Minkowski’s and Hölder’s inequalities for semi(co)normed fuzzy integrals are studied in a rather general form. The main results of thi...
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| Autor*in: |
Agahi, Hamzeh [verfasserIn] Eslami, Esfandiar [verfasserIn] |
|---|
| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2010 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Soft Computing - Springer-Verlag, 2003, 15(2010), 4 vom: Apr., Seite 771-780 |
|---|---|
| Übergeordnetes Werk: |
volume:15 ; year:2010 ; number:4 ; month:04 ; pages:771-780 |
| Links: |
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| DOI / URN: |
10.1007/s00500-010-0621-z |
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| 520 | |a Abstract Generalization of the Chebyshev inequality for semi(co)normed fuzzy integrals on an abstract fuzzy measure space based on a binary operation is given. Also, Minkowski’s and Hölder’s inequalities for semi(co)normed fuzzy integrals are studied in a rather general form. The main results of this paper generalize some previous results. Finally, a conclusion is drawn and an open problem for further investigations is given. | ||
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10.1007/s00500-010-0621-z doi (DE-627)SPR006477747 (SPR)s00500-010-0621-z-e DE-627 ger DE-627 rakwb eng Agahi, Hamzeh verfasserin aut A general inequality of Chebyshev type for semi(co)normed fuzzy integrals 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Generalization of the Chebyshev inequality for semi(co)normed fuzzy integrals on an abstract fuzzy measure space based on a binary operation is given. Also, Minkowski’s and Hölder’s inequalities for semi(co)normed fuzzy integrals are studied in a rather general form. The main results of this paper generalize some previous results. Finally, a conclusion is drawn and an open problem for further investigations is given. Fuzzy measure (dpeaa)DE-He213 Sugeno integral (dpeaa)DE-He213 Seminormed fuzzy integrals (dpeaa)DE-He213 Semiconormed fuzzy integrals (dpeaa)DE-He213 Comonotone functions (dpeaa)DE-He213 Chebyshev’s inequality (dpeaa)DE-He213 Hölder’s inequality (dpeaa)DE-He213 Minkowski’s inequality (dpeaa)DE-He213 Eslami, Esfandiar verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 15(2010), 4 vom: Apr., Seite 771-780 (DE-627)SPR006469531 nnns volume:15 year:2010 number:4 month:04 pages:771-780 https://dx.doi.org/10.1007/s00500-010-0621-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 15 2010 4 04 771-780 |
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10.1007/s00500-010-0621-z doi (DE-627)SPR006477747 (SPR)s00500-010-0621-z-e DE-627 ger DE-627 rakwb eng Agahi, Hamzeh verfasserin aut A general inequality of Chebyshev type for semi(co)normed fuzzy integrals 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Generalization of the Chebyshev inequality for semi(co)normed fuzzy integrals on an abstract fuzzy measure space based on a binary operation is given. Also, Minkowski’s and Hölder’s inequalities for semi(co)normed fuzzy integrals are studied in a rather general form. The main results of this paper generalize some previous results. Finally, a conclusion is drawn and an open problem for further investigations is given. Fuzzy measure (dpeaa)DE-He213 Sugeno integral (dpeaa)DE-He213 Seminormed fuzzy integrals (dpeaa)DE-He213 Semiconormed fuzzy integrals (dpeaa)DE-He213 Comonotone functions (dpeaa)DE-He213 Chebyshev’s inequality (dpeaa)DE-He213 Hölder’s inequality (dpeaa)DE-He213 Minkowski’s inequality (dpeaa)DE-He213 Eslami, Esfandiar verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 15(2010), 4 vom: Apr., Seite 771-780 (DE-627)SPR006469531 nnns volume:15 year:2010 number:4 month:04 pages:771-780 https://dx.doi.org/10.1007/s00500-010-0621-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 15 2010 4 04 771-780 |
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Agahi, Hamzeh misc Fuzzy measure misc Sugeno integral misc Seminormed fuzzy integrals misc Semiconormed fuzzy integrals misc Comonotone functions misc Chebyshev’s inequality misc Hölder’s inequality misc Minkowski’s inequality A general inequality of Chebyshev type for semi(co)normed fuzzy integrals |
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A general inequality of Chebyshev type for semi(co)normed fuzzy integrals Fuzzy measure (dpeaa)DE-He213 Sugeno integral (dpeaa)DE-He213 Seminormed fuzzy integrals (dpeaa)DE-He213 Semiconormed fuzzy integrals (dpeaa)DE-He213 Comonotone functions (dpeaa)DE-He213 Chebyshev’s inequality (dpeaa)DE-He213 Hölder’s inequality (dpeaa)DE-He213 Minkowski’s inequality (dpeaa)DE-He213 |
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Abstract Generalization of the Chebyshev inequality for semi(co)normed fuzzy integrals on an abstract fuzzy measure space based on a binary operation is given. Also, Minkowski’s and Hölder’s inequalities for semi(co)normed fuzzy integrals are studied in a rather general form. The main results of this paper generalize some previous results. Finally, a conclusion is drawn and an open problem for further investigations is given. |
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Abstract Generalization of the Chebyshev inequality for semi(co)normed fuzzy integrals on an abstract fuzzy measure space based on a binary operation is given. Also, Minkowski’s and Hölder’s inequalities for semi(co)normed fuzzy integrals are studied in a rather general form. The main results of this paper generalize some previous results. Finally, a conclusion is drawn and an open problem for further investigations is given. |
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Abstract Generalization of the Chebyshev inequality for semi(co)normed fuzzy integrals on an abstract fuzzy measure space based on a binary operation is given. Also, Minkowski’s and Hölder’s inequalities for semi(co)normed fuzzy integrals are studied in a rather general form. The main results of this paper generalize some previous results. Finally, a conclusion is drawn and an open problem for further investigations is given. |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">SPR006477747</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20201124002729.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">201005s2010 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00500-010-0621-z</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR006477747</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)s00500-010-0621-z-e</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Agahi, Hamzeh</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="2"><subfield code="a">A general inequality of Chebyshev type for semi(co)normed fuzzy integrals</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2010</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Generalization of the Chebyshev inequality for semi(co)normed fuzzy integrals on an abstract fuzzy measure space based on a binary operation is given. 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Finally, a conclusion is drawn and an open problem for further investigations is given.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fuzzy measure</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Sugeno integral</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Seminormed fuzzy integrals</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Semiconormed fuzzy integrals</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Comonotone functions</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Chebyshev’s inequality</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Hölder’s inequality</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Minkowski’s inequality</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Eslami, Esfandiar</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Soft Computing</subfield><subfield code="d">Springer-Verlag, 2003</subfield><subfield code="g">15(2010), 4 vom: Apr., Seite 771-780</subfield><subfield code="w">(DE-627)SPR006469531</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:15</subfield><subfield code="g">year:2010</subfield><subfield code="g">number:4</subfield><subfield code="g">month:04</subfield><subfield code="g">pages:771-780</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://dx.doi.org/10.1007/s00500-010-0621-z</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_SPRINGER</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">15</subfield><subfield code="j">2010</subfield><subfield code="e">4</subfield><subfield code="c">04</subfield><subfield code="h">771-780</subfield></datafield></record></collection>
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