Third Zadeh’s Intuitionistic Fuzzy Implication
George Klir and Bo Yuan named after Lotfi Zadeh the implication <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mrow<<mi<p</mi<<mo<→</mo<<mi<q</mi<<mo<=</mo<<m...
Ausführliche Beschreibung
Autor*in: |
Krassimir Atanassov [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2021 |
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Übergeordnetes Werk: |
In: Mathematics - MDPI AG, 2013, 9(2021), 6, p 619 |
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Übergeordnetes Werk: |
volume:9 ; year:2021 ; number:6, p 619 |
Links: |
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DOI / URN: |
10.3390/math9060619 |
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Katalog-ID: |
DOAJ056115334 |
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10.3390/math9060619 doi (DE-627)DOAJ056115334 (DE-599)DOAJf08b9bf870934f99a94beda0952c5230 DE-627 ger DE-627 rakwb eng QA1-939 Krassimir Atanassov verfasserin aut Third Zadeh’s Intuitionistic Fuzzy Implication 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier George Klir and Bo Yuan named after Lotfi Zadeh the implication <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mrow<<mi<p</mi<<mo<→</mo<<mi<q</mi<<mo<=</mo<<mo movablelimits="true" form="prefix"<max</mo<<mo stretchy="false"<(</mo<<mn<1</mn<<mo<−</mo<<mi<p</mi<<mo<,</mo<<mo movablelimits="true" form="prefix"<min</mo<<mo stretchy="false"<(</mo<<mi<p</mi<<mo<,</mo<<mi<q</mi<<mo stretchy="false"<)</mo<<mo stretchy="false"<)</mo<</mrow<</semantics<</math<</inline-formula< (also <i<Early Zadeh implication</i<). In a series of papers, the author introduced two intuitionistic fuzzy forms of Zadeh’s implication and studied their basic properties. In the present paper, a new (third) intuitionistic fuzzy form of Zadeh’s implication is proposed and some of its properties are studied. intuitionistic fuzzy implication intuitionistic fuzzy set Zadeh’s fuzzy implication Mathematics In Mathematics MDPI AG, 2013 9(2021), 6, p 619 (DE-627)737287764 (DE-600)2704244-3 22277390 nnns volume:9 year:2021 number:6, p 619 https://doi.org/10.3390/math9060619 kostenfrei https://doaj.org/article/f08b9bf870934f99a94beda0952c5230 kostenfrei https://www.mdpi.com/2227-7390/9/6/619 kostenfrei https://doaj.org/toc/2227-7390 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 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_2005 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 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 9 2021 6, p 619 |
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10.3390/math9060619 doi (DE-627)DOAJ056115334 (DE-599)DOAJf08b9bf870934f99a94beda0952c5230 DE-627 ger DE-627 rakwb eng QA1-939 Krassimir Atanassov verfasserin aut Third Zadeh’s Intuitionistic Fuzzy Implication 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier George Klir and Bo Yuan named after Lotfi Zadeh the implication <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mrow<<mi<p</mi<<mo<→</mo<<mi<q</mi<<mo<=</mo<<mo movablelimits="true" form="prefix"<max</mo<<mo stretchy="false"<(</mo<<mn<1</mn<<mo<−</mo<<mi<p</mi<<mo<,</mo<<mo movablelimits="true" form="prefix"<min</mo<<mo stretchy="false"<(</mo<<mi<p</mi<<mo<,</mo<<mi<q</mi<<mo stretchy="false"<)</mo<<mo stretchy="false"<)</mo<</mrow<</semantics<</math<</inline-formula< (also <i<Early Zadeh implication</i<). In a series of papers, the author introduced two intuitionistic fuzzy forms of Zadeh’s implication and studied their basic properties. In the present paper, a new (third) intuitionistic fuzzy form of Zadeh’s implication is proposed and some of its properties are studied. intuitionistic fuzzy implication intuitionistic fuzzy set Zadeh’s fuzzy implication Mathematics In Mathematics MDPI AG, 2013 9(2021), 6, p 619 (DE-627)737287764 (DE-600)2704244-3 22277390 nnns volume:9 year:2021 number:6, p 619 https://doi.org/10.3390/math9060619 kostenfrei https://doaj.org/article/f08b9bf870934f99a94beda0952c5230 kostenfrei https://www.mdpi.com/2227-7390/9/6/619 kostenfrei https://doaj.org/toc/2227-7390 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 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_2005 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 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 9 2021 6, p 619 |
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10.3390/math9060619 doi (DE-627)DOAJ056115334 (DE-599)DOAJf08b9bf870934f99a94beda0952c5230 DE-627 ger DE-627 rakwb eng QA1-939 Krassimir Atanassov verfasserin aut Third Zadeh’s Intuitionistic Fuzzy Implication 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier George Klir and Bo Yuan named after Lotfi Zadeh the implication <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mrow<<mi<p</mi<<mo<→</mo<<mi<q</mi<<mo<=</mo<<mo movablelimits="true" form="prefix"<max</mo<<mo stretchy="false"<(</mo<<mn<1</mn<<mo<−</mo<<mi<p</mi<<mo<,</mo<<mo movablelimits="true" form="prefix"<min</mo<<mo stretchy="false"<(</mo<<mi<p</mi<<mo<,</mo<<mi<q</mi<<mo stretchy="false"<)</mo<<mo stretchy="false"<)</mo<</mrow<</semantics<</math<</inline-formula< (also <i<Early Zadeh implication</i<). In a series of papers, the author introduced two intuitionistic fuzzy forms of Zadeh’s implication and studied their basic properties. In the present paper, a new (third) intuitionistic fuzzy form of Zadeh’s implication is proposed and some of its properties are studied. intuitionistic fuzzy implication intuitionistic fuzzy set Zadeh’s fuzzy implication Mathematics In Mathematics MDPI AG, 2013 9(2021), 6, p 619 (DE-627)737287764 (DE-600)2704244-3 22277390 nnns volume:9 year:2021 number:6, p 619 https://doi.org/10.3390/math9060619 kostenfrei https://doaj.org/article/f08b9bf870934f99a94beda0952c5230 kostenfrei https://www.mdpi.com/2227-7390/9/6/619 kostenfrei https://doaj.org/toc/2227-7390 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 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_2005 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 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 9 2021 6, p 619 |
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10.3390/math9060619 doi (DE-627)DOAJ056115334 (DE-599)DOAJf08b9bf870934f99a94beda0952c5230 DE-627 ger DE-627 rakwb eng QA1-939 Krassimir Atanassov verfasserin aut Third Zadeh’s Intuitionistic Fuzzy Implication 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier George Klir and Bo Yuan named after Lotfi Zadeh the implication <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mrow<<mi<p</mi<<mo<→</mo<<mi<q</mi<<mo<=</mo<<mo movablelimits="true" form="prefix"<max</mo<<mo stretchy="false"<(</mo<<mn<1</mn<<mo<−</mo<<mi<p</mi<<mo<,</mo<<mo movablelimits="true" form="prefix"<min</mo<<mo stretchy="false"<(</mo<<mi<p</mi<<mo<,</mo<<mi<q</mi<<mo stretchy="false"<)</mo<<mo stretchy="false"<)</mo<</mrow<</semantics<</math<</inline-formula< (also <i<Early Zadeh implication</i<). In a series of papers, the author introduced two intuitionistic fuzzy forms of Zadeh’s implication and studied their basic properties. In the present paper, a new (third) intuitionistic fuzzy form of Zadeh’s implication is proposed and some of its properties are studied. intuitionistic fuzzy implication intuitionistic fuzzy set Zadeh’s fuzzy implication Mathematics In Mathematics MDPI AG, 2013 9(2021), 6, p 619 (DE-627)737287764 (DE-600)2704244-3 22277390 nnns volume:9 year:2021 number:6, p 619 https://doi.org/10.3390/math9060619 kostenfrei https://doaj.org/article/f08b9bf870934f99a94beda0952c5230 kostenfrei https://www.mdpi.com/2227-7390/9/6/619 kostenfrei https://doaj.org/toc/2227-7390 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 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_2005 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 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 9 2021 6, p 619 |
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10.3390/math9060619 doi (DE-627)DOAJ056115334 (DE-599)DOAJf08b9bf870934f99a94beda0952c5230 DE-627 ger DE-627 rakwb eng QA1-939 Krassimir Atanassov verfasserin aut Third Zadeh’s Intuitionistic Fuzzy Implication 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier George Klir and Bo Yuan named after Lotfi Zadeh the implication <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mrow<<mi<p</mi<<mo<→</mo<<mi<q</mi<<mo<=</mo<<mo movablelimits="true" form="prefix"<max</mo<<mo stretchy="false"<(</mo<<mn<1</mn<<mo<−</mo<<mi<p</mi<<mo<,</mo<<mo movablelimits="true" form="prefix"<min</mo<<mo stretchy="false"<(</mo<<mi<p</mi<<mo<,</mo<<mi<q</mi<<mo stretchy="false"<)</mo<<mo stretchy="false"<)</mo<</mrow<</semantics<</math<</inline-formula< (also <i<Early Zadeh implication</i<). In a series of papers, the author introduced two intuitionistic fuzzy forms of Zadeh’s implication and studied their basic properties. In the present paper, a new (third) intuitionistic fuzzy form of Zadeh’s implication is proposed and some of its properties are studied. intuitionistic fuzzy implication intuitionistic fuzzy set Zadeh’s fuzzy implication Mathematics In Mathematics MDPI AG, 2013 9(2021), 6, p 619 (DE-627)737287764 (DE-600)2704244-3 22277390 nnns volume:9 year:2021 number:6, p 619 https://doi.org/10.3390/math9060619 kostenfrei https://doaj.org/article/f08b9bf870934f99a94beda0952c5230 kostenfrei https://www.mdpi.com/2227-7390/9/6/619 kostenfrei https://doaj.org/toc/2227-7390 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 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_2005 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 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 9 2021 6, p 619 |
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George Klir and Bo Yuan named after Lotfi Zadeh the implication <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mrow<<mi<p</mi<<mo<→</mo<<mi<q</mi<<mo<=</mo<<mo movablelimits="true" form="prefix"<max</mo<<mo stretchy="false"<(</mo<<mn<1</mn<<mo<−</mo<<mi<p</mi<<mo<,</mo<<mo movablelimits="true" form="prefix"<min</mo<<mo stretchy="false"<(</mo<<mi<p</mi<<mo<,</mo<<mi<q</mi<<mo stretchy="false"<)</mo<<mo stretchy="false"<)</mo<</mrow<</semantics<</math<</inline-formula< (also <i<Early Zadeh implication</i<). In a series of papers, the author introduced two intuitionistic fuzzy forms of Zadeh’s implication and studied their basic properties. In the present paper, a new (third) intuitionistic fuzzy form of Zadeh’s implication is proposed and some of its properties are studied. |
abstractGer |
George Klir and Bo Yuan named after Lotfi Zadeh the implication <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mrow<<mi<p</mi<<mo<→</mo<<mi<q</mi<<mo<=</mo<<mo movablelimits="true" form="prefix"<max</mo<<mo stretchy="false"<(</mo<<mn<1</mn<<mo<−</mo<<mi<p</mi<<mo<,</mo<<mo movablelimits="true" form="prefix"<min</mo<<mo stretchy="false"<(</mo<<mi<p</mi<<mo<,</mo<<mi<q</mi<<mo stretchy="false"<)</mo<<mo stretchy="false"<)</mo<</mrow<</semantics<</math<</inline-formula< (also <i<Early Zadeh implication</i<). In a series of papers, the author introduced two intuitionistic fuzzy forms of Zadeh’s implication and studied their basic properties. In the present paper, a new (third) intuitionistic fuzzy form of Zadeh’s implication is proposed and some of its properties are studied. |
abstract_unstemmed |
George Klir and Bo Yuan named after Lotfi Zadeh the implication <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mrow<<mi<p</mi<<mo<→</mo<<mi<q</mi<<mo<=</mo<<mo movablelimits="true" form="prefix"<max</mo<<mo stretchy="false"<(</mo<<mn<1</mn<<mo<−</mo<<mi<p</mi<<mo<,</mo<<mo movablelimits="true" form="prefix"<min</mo<<mo stretchy="false"<(</mo<<mi<p</mi<<mo<,</mo<<mi<q</mi<<mo stretchy="false"<)</mo<<mo stretchy="false"<)</mo<</mrow<</semantics<</math<</inline-formula< (also <i<Early Zadeh implication</i<). In a series of papers, the author introduced two intuitionistic fuzzy forms of Zadeh’s implication and studied their basic properties. In the present paper, a new (third) intuitionistic fuzzy form of Zadeh’s implication is proposed and some of its properties are studied. |
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