Pythagorean Dombi fuzzy graphs

Abstract Pythagorean fuzzy graph, a broadly used extension of fuzzy and intuitionistic fuzzy graph, is helpful in representing structural relationships between several objects where the relation between these objects is vague, while the Dombi operators with operational parameters have excellent flex...
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Gespeichert in:

Autor*in:	Akram, Muhammad [verfasserIn] Dar, Jawaria Mohsan [verfasserIn] Naz, Sumera [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2019

Schlagwörter:	Pythagorean fuzzy sets -norms and -conorms Pythagorean Dombi fuzzy graphs Regularity of Pythagorean Dombi fuzzy graphs

Übergeordnetes Werk:	Enthalten in: Complex & intelligent systems - Berlin : SpringerOpen, 2015, 6(2019), 1 vom: 23. Mai, Seite 29-54
Übergeordnetes Werk:	volume:6 ; year:2019 ; number:1 ; day:23 ; month:05 ; pages:29-54

Links:	Volltext

DOI / URN:	10.1007/s40747-019-0109-0

Katalog-ID:	SPR03921723X

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520			\|a Abstract Pythagorean fuzzy graph, a broadly used extension of fuzzy and intuitionistic fuzzy graph, is helpful in representing structural relationships between several objects where the relation between these objects is vague, while the Dombi operators with operational parameters have excellent flexibility. Utilizing these two concepts, this research paper proposes the novel concept of Pythagorean Dombi fuzzy graphs (PDFGs). Basically, graph terminology is employed for introducing Pythagorean fuzzy analogs of various fundamental graphical ideas using Dombi operator. Further, under Pythagorean Dombi fuzzy environment, regular, totally regular, strongly regular and biregular graphs are defined with appropriate illustration and some of their crucial properties are examined. Meanwhile, the notion of edge regularity of PDFG is also initiated with substantial characteristics. Finally, a numerical example related to evaluation of appropriate ETL software for a business intelligence project is presented to better understand PDFGs.
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allfields	10.1007/s40747-019-0109-0 doi (DE-627)SPR03921723X (SPR)s40747-019-0109-0-e DE-627 ger DE-627 rakwb eng 004 ASE Akram, Muhammad verfasserin aut Pythagorean Dombi fuzzy graphs 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Pythagorean fuzzy graph, a broadly used extension of fuzzy and intuitionistic fuzzy graph, is helpful in representing structural relationships between several objects where the relation between these objects is vague, while the Dombi operators with operational parameters have excellent flexibility. Utilizing these two concepts, this research paper proposes the novel concept of Pythagorean Dombi fuzzy graphs (PDFGs). Basically, graph terminology is employed for introducing Pythagorean fuzzy analogs of various fundamental graphical ideas using Dombi operator. Further, under Pythagorean Dombi fuzzy environment, regular, totally regular, strongly regular and biregular graphs are defined with appropriate illustration and some of their crucial properties are examined. Meanwhile, the notion of edge regularity of PDFG is also initiated with substantial characteristics. Finally, a numerical example related to evaluation of appropriate ETL software for a business intelligence project is presented to better understand PDFGs. Pythagorean fuzzy sets (dpeaa)DE-He213 -norms and (dpeaa)DE-He213 -conorms (dpeaa)DE-He213 Pythagorean Dombi fuzzy graphs (dpeaa)DE-He213 Regularity of Pythagorean Dombi fuzzy graphs (dpeaa)DE-He213 Dar, Jawaria Mohsan verfasserin aut Naz, Sumera verfasserin aut Enthalten in Complex & intelligent systems Berlin : SpringerOpen, 2015 6(2019), 1 vom: 23. Mai, Seite 29-54 (DE-627)835589269 (DE-600)2834740-7 2198-6053 nnns volume:6 year:2019 number:1 day:23 month:05 pages:29-54 https://dx.doi.org/10.1007/s40747-019-0109-0 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_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 6 2019 1 23 05 29-54
spelling	10.1007/s40747-019-0109-0 doi (DE-627)SPR03921723X (SPR)s40747-019-0109-0-e DE-627 ger DE-627 rakwb eng 004 ASE Akram, Muhammad verfasserin aut Pythagorean Dombi fuzzy graphs 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Pythagorean fuzzy graph, a broadly used extension of fuzzy and intuitionistic fuzzy graph, is helpful in representing structural relationships between several objects where the relation between these objects is vague, while the Dombi operators with operational parameters have excellent flexibility. Utilizing these two concepts, this research paper proposes the novel concept of Pythagorean Dombi fuzzy graphs (PDFGs). Basically, graph terminology is employed for introducing Pythagorean fuzzy analogs of various fundamental graphical ideas using Dombi operator. Further, under Pythagorean Dombi fuzzy environment, regular, totally regular, strongly regular and biregular graphs are defined with appropriate illustration and some of their crucial properties are examined. Meanwhile, the notion of edge regularity of PDFG is also initiated with substantial characteristics. Finally, a numerical example related to evaluation of appropriate ETL software for a business intelligence project is presented to better understand PDFGs. Pythagorean fuzzy sets (dpeaa)DE-He213 -norms and (dpeaa)DE-He213 -conorms (dpeaa)DE-He213 Pythagorean Dombi fuzzy graphs (dpeaa)DE-He213 Regularity of Pythagorean Dombi fuzzy graphs (dpeaa)DE-He213 Dar, Jawaria Mohsan verfasserin aut Naz, Sumera verfasserin aut Enthalten in Complex & intelligent systems Berlin : SpringerOpen, 2015 6(2019), 1 vom: 23. Mai, Seite 29-54 (DE-627)835589269 (DE-600)2834740-7 2198-6053 nnns volume:6 year:2019 number:1 day:23 month:05 pages:29-54 https://dx.doi.org/10.1007/s40747-019-0109-0 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_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 6 2019 1 23 05 29-54
allfields_unstemmed	10.1007/s40747-019-0109-0 doi (DE-627)SPR03921723X (SPR)s40747-019-0109-0-e DE-627 ger DE-627 rakwb eng 004 ASE Akram, Muhammad verfasserin aut Pythagorean Dombi fuzzy graphs 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Pythagorean fuzzy graph, a broadly used extension of fuzzy and intuitionistic fuzzy graph, is helpful in representing structural relationships between several objects where the relation between these objects is vague, while the Dombi operators with operational parameters have excellent flexibility. Utilizing these two concepts, this research paper proposes the novel concept of Pythagorean Dombi fuzzy graphs (PDFGs). Basically, graph terminology is employed for introducing Pythagorean fuzzy analogs of various fundamental graphical ideas using Dombi operator. Further, under Pythagorean Dombi fuzzy environment, regular, totally regular, strongly regular and biregular graphs are defined with appropriate illustration and some of their crucial properties are examined. Meanwhile, the notion of edge regularity of PDFG is also initiated with substantial characteristics. Finally, a numerical example related to evaluation of appropriate ETL software for a business intelligence project is presented to better understand PDFGs. Pythagorean fuzzy sets (dpeaa)DE-He213 -norms and (dpeaa)DE-He213 -conorms (dpeaa)DE-He213 Pythagorean Dombi fuzzy graphs (dpeaa)DE-He213 Regularity of Pythagorean Dombi fuzzy graphs (dpeaa)DE-He213 Dar, Jawaria Mohsan verfasserin aut Naz, Sumera verfasserin aut Enthalten in Complex & intelligent systems Berlin : SpringerOpen, 2015 6(2019), 1 vom: 23. Mai, Seite 29-54 (DE-627)835589269 (DE-600)2834740-7 2198-6053 nnns volume:6 year:2019 number:1 day:23 month:05 pages:29-54 https://dx.doi.org/10.1007/s40747-019-0109-0 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_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 6 2019 1 23 05 29-54
allfieldsGer	10.1007/s40747-019-0109-0 doi (DE-627)SPR03921723X (SPR)s40747-019-0109-0-e DE-627 ger DE-627 rakwb eng 004 ASE Akram, Muhammad verfasserin aut Pythagorean Dombi fuzzy graphs 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Pythagorean fuzzy graph, a broadly used extension of fuzzy and intuitionistic fuzzy graph, is helpful in representing structural relationships between several objects where the relation between these objects is vague, while the Dombi operators with operational parameters have excellent flexibility. Utilizing these two concepts, this research paper proposes the novel concept of Pythagorean Dombi fuzzy graphs (PDFGs). Basically, graph terminology is employed for introducing Pythagorean fuzzy analogs of various fundamental graphical ideas using Dombi operator. Further, under Pythagorean Dombi fuzzy environment, regular, totally regular, strongly regular and biregular graphs are defined with appropriate illustration and some of their crucial properties are examined. Meanwhile, the notion of edge regularity of PDFG is also initiated with substantial characteristics. Finally, a numerical example related to evaluation of appropriate ETL software for a business intelligence project is presented to better understand PDFGs. Pythagorean fuzzy sets (dpeaa)DE-He213 -norms and (dpeaa)DE-He213 -conorms (dpeaa)DE-He213 Pythagorean Dombi fuzzy graphs (dpeaa)DE-He213 Regularity of Pythagorean Dombi fuzzy graphs (dpeaa)DE-He213 Dar, Jawaria Mohsan verfasserin aut Naz, Sumera verfasserin aut Enthalten in Complex & intelligent systems Berlin : SpringerOpen, 2015 6(2019), 1 vom: 23. Mai, Seite 29-54 (DE-627)835589269 (DE-600)2834740-7 2198-6053 nnns volume:6 year:2019 number:1 day:23 month:05 pages:29-54 https://dx.doi.org/10.1007/s40747-019-0109-0 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_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 6 2019 1 23 05 29-54
allfieldsSound	10.1007/s40747-019-0109-0 doi (DE-627)SPR03921723X (SPR)s40747-019-0109-0-e DE-627 ger DE-627 rakwb eng 004 ASE Akram, Muhammad verfasserin aut Pythagorean Dombi fuzzy graphs 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Pythagorean fuzzy graph, a broadly used extension of fuzzy and intuitionistic fuzzy graph, is helpful in representing structural relationships between several objects where the relation between these objects is vague, while the Dombi operators with operational parameters have excellent flexibility. Utilizing these two concepts, this research paper proposes the novel concept of Pythagorean Dombi fuzzy graphs (PDFGs). Basically, graph terminology is employed for introducing Pythagorean fuzzy analogs of various fundamental graphical ideas using Dombi operator. Further, under Pythagorean Dombi fuzzy environment, regular, totally regular, strongly regular and biregular graphs are defined with appropriate illustration and some of their crucial properties are examined. Meanwhile, the notion of edge regularity of PDFG is also initiated with substantial characteristics. Finally, a numerical example related to evaluation of appropriate ETL software for a business intelligence project is presented to better understand PDFGs. Pythagorean fuzzy sets (dpeaa)DE-He213 -norms and (dpeaa)DE-He213 -conorms (dpeaa)DE-He213 Pythagorean Dombi fuzzy graphs (dpeaa)DE-He213 Regularity of Pythagorean Dombi fuzzy graphs (dpeaa)DE-He213 Dar, Jawaria Mohsan verfasserin aut Naz, Sumera verfasserin aut Enthalten in Complex & intelligent systems Berlin : SpringerOpen, 2015 6(2019), 1 vom: 23. Mai, Seite 29-54 (DE-627)835589269 (DE-600)2834740-7 2198-6053 nnns volume:6 year:2019 number:1 day:23 month:05 pages:29-54 https://dx.doi.org/10.1007/s40747-019-0109-0 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_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 6 2019 1 23 05 29-54
language	English
source	Enthalten in Complex & intelligent systems 6(2019), 1 vom: 23. Mai, Seite 29-54 volume:6 year:2019 number:1 day:23 month:05 pages:29-54
sourceStr	Enthalten in Complex & intelligent systems 6(2019), 1 vom: 23. Mai, Seite 29-54 volume:6 year:2019 number:1 day:23 month:05 pages:29-54
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institution	findex.gbv.de
topic_facet	Pythagorean fuzzy sets -norms and -conorms Pythagorean Dombi fuzzy graphs Regularity of Pythagorean Dombi fuzzy graphs
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container_title	Complex & intelligent systems
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author	Akram, Muhammad
spellingShingle	Akram, Muhammad ddc 004 misc Pythagorean fuzzy sets misc -norms and misc -conorms misc Pythagorean Dombi fuzzy graphs misc Regularity of Pythagorean Dombi fuzzy graphs Pythagorean Dombi fuzzy graphs
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topic_title	004 ASE Pythagorean Dombi fuzzy graphs Pythagorean fuzzy sets (dpeaa)DE-He213 -norms and (dpeaa)DE-He213 -conorms (dpeaa)DE-He213 Pythagorean Dombi fuzzy graphs (dpeaa)DE-He213 Regularity of Pythagorean Dombi fuzzy graphs (dpeaa)DE-He213
topic	ddc 004 misc Pythagorean fuzzy sets misc -norms and misc -conorms misc Pythagorean Dombi fuzzy graphs misc Regularity of Pythagorean Dombi fuzzy graphs
topic_unstemmed	ddc 004 misc Pythagorean fuzzy sets misc -norms and misc -conorms misc Pythagorean Dombi fuzzy graphs misc Regularity of Pythagorean Dombi fuzzy graphs
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title	Pythagorean Dombi fuzzy graphs
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title_sort	pythagorean dombi fuzzy graphs
title_auth	Pythagorean Dombi fuzzy graphs
abstract	Abstract Pythagorean fuzzy graph, a broadly used extension of fuzzy and intuitionistic fuzzy graph, is helpful in representing structural relationships between several objects where the relation between these objects is vague, while the Dombi operators with operational parameters have excellent flexibility. Utilizing these two concepts, this research paper proposes the novel concept of Pythagorean Dombi fuzzy graphs (PDFGs). Basically, graph terminology is employed for introducing Pythagorean fuzzy analogs of various fundamental graphical ideas using Dombi operator. Further, under Pythagorean Dombi fuzzy environment, regular, totally regular, strongly regular and biregular graphs are defined with appropriate illustration and some of their crucial properties are examined. Meanwhile, the notion of edge regularity of PDFG is also initiated with substantial characteristics. Finally, a numerical example related to evaluation of appropriate ETL software for a business intelligence project is presented to better understand PDFGs.
abstractGer	Abstract Pythagorean fuzzy graph, a broadly used extension of fuzzy and intuitionistic fuzzy graph, is helpful in representing structural relationships between several objects where the relation between these objects is vague, while the Dombi operators with operational parameters have excellent flexibility. Utilizing these two concepts, this research paper proposes the novel concept of Pythagorean Dombi fuzzy graphs (PDFGs). Basically, graph terminology is employed for introducing Pythagorean fuzzy analogs of various fundamental graphical ideas using Dombi operator. Further, under Pythagorean Dombi fuzzy environment, regular, totally regular, strongly regular and biregular graphs are defined with appropriate illustration and some of their crucial properties are examined. Meanwhile, the notion of edge regularity of PDFG is also initiated with substantial characteristics. Finally, a numerical example related to evaluation of appropriate ETL software for a business intelligence project is presented to better understand PDFGs.
abstract_unstemmed	Abstract Pythagorean fuzzy graph, a broadly used extension of fuzzy and intuitionistic fuzzy graph, is helpful in representing structural relationships between several objects where the relation between these objects is vague, while the Dombi operators with operational parameters have excellent flexibility. Utilizing these two concepts, this research paper proposes the novel concept of Pythagorean Dombi fuzzy graphs (PDFGs). Basically, graph terminology is employed for introducing Pythagorean fuzzy analogs of various fundamental graphical ideas using Dombi operator. Further, under Pythagorean Dombi fuzzy environment, regular, totally regular, strongly regular and biregular graphs are defined with appropriate illustration and some of their crucial properties are examined. Meanwhile, the notion of edge regularity of PDFG is also initiated with substantial characteristics. Finally, a numerical example related to evaluation of appropriate ETL software for a business intelligence project is presented to better understand PDFGs.
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title_short	Pythagorean Dombi fuzzy graphs
url	https://dx.doi.org/10.1007/s40747-019-0109-0
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