New concepts of vague graphs
The concept of vague graph was introduced by Ramakrishna (Int J Comput Cognit 7:51–58, 2009 ). Since the vague models give more precision, flexibility, and compatibility to the system as compared to the classical and fuzzy models, in this paper, the concept of energy of fuzzy graph is extended to th...
Saved in:
| Published in | International journal of machine learning and cybernetics Vol. 8; no. 4; pp. 1081 - 1092 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.08.2017
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | The concept of vague graph was introduced by Ramakrishna (Int J Comput Cognit 7:51–58,
2009
). Since the vague models give more precision, flexibility, and compatibility to the system as compared to the classical and fuzzy models, in this paper,
the concept of energy of fuzzy graph is extended to the energy of a vague graph
. It has many applications in
physics
,
chemistry
,
computer science
, and other branches of mathematics. We define
adjacency matrix
,
degree matrix
,
laplacian matrix
,
spectrum
, and
energy of a vague graph
in terms of their adjacency matrix. The
spectrum
of a vague graph appears in physics statistical problems, and combinatorial optimization problems in mathematics. Also, the lower and upper bounds for the energy of a vague graph are also derived. Finally, we give some applications of energy in vague graph and other sciences. |
|---|---|
| AbstractList | The concept of vague graph was introduced by Ramakrishna (Int J Comput Cognit 7:51–58, 2009). Since the vague models give more precision, flexibility, and compatibility to the system as compared to the classical and fuzzy models, in this paper, the concept of energy of fuzzy graph is extended to the energy of a vague graph. It has many applications in physics, chemistry, computer science, and other branches of mathematics. We define adjacency matrix, degree matrix, laplacian matrix, spectrum, and energy of a vague graph in terms of their adjacency matrix. The spectrum of a vague graph appears in physics statistical problems, and combinatorial optimization problems in mathematics. Also, the lower and upper bounds for the energy of a vague graph are also derived. Finally, we give some applications of energy in vague graph and other sciences. The concept of vague graph was introduced by Ramakrishna (Int J Comput Cognit 7:51–58, 2009 ). Since the vague models give more precision, flexibility, and compatibility to the system as compared to the classical and fuzzy models, in this paper, the concept of energy of fuzzy graph is extended to the energy of a vague graph . It has many applications in physics , chemistry , computer science , and other branches of mathematics. We define adjacency matrix , degree matrix , laplacian matrix , spectrum , and energy of a vague graph in terms of their adjacency matrix. The spectrum of a vague graph appears in physics statistical problems, and combinatorial optimization problems in mathematics. Also, the lower and upper bounds for the energy of a vague graph are also derived. Finally, we give some applications of energy in vague graph and other sciences. |
| Author | Borzooei, R. A. Rashmanlou, Hossein |
| Author_xml | – sequence: 1 givenname: R. A. surname: Borzooei fullname: Borzooei, R. A. organization: Department of Mathematics, Shahid Beheshti University – sequence: 2 givenname: Hossein surname: Rashmanlou fullname: Rashmanlou, Hossein email: rashmanlou.1987@gmail.com organization: Department of Mathematics, Islamic Azad University, Central Tehran Branch |
| BookMark | eNp1kE9LxDAQxYOs4LruBxA8FDxHZ5L-SY-y6CoselHwFtI6qS7a1KTV9dubUtGTw8AMw_u9gXfIZq1ribFjhDMEKM4DSkgFB8w4pEXGd3tsjipXXIF6nP3uBR6wZQhbiJWDlCDm7OSWPpPatTV1fUicTT5MM1DSeNM9hyO2b81roOXPXLCHq8v71TXf3K1vVhcbXkvMe46qgoqAKEtlYXIhrcpkVVFhILMKlRRlYY14qlGQpIiMB6mASrBkTSYX7HTy7bx7Hyj0eusG38aXWpRY5pGIvWA4qWrvQvBkdedf3oz_0gh6zEFPOeiYgx5z0LvIiIkJUds25P-c_4e-AdW-X6M |
| CitedBy_id | crossref_primary_10_3233_IFS_162110 crossref_primary_10_3390_sym14122623 crossref_primary_10_1007_s44196_023_00193_x crossref_primary_10_3233_JIFS_222984 crossref_primary_10_1007_s13042_018_0827_4 crossref_primary_10_3233_JIFS_17847 crossref_primary_10_1007_s11063_017_9699_y crossref_primary_10_1007_s12559_017_9527_8 crossref_primary_10_3390_sym10090373 crossref_primary_10_3233_JIFS_16433 crossref_primary_10_3389_fphy_2020_00357 crossref_primary_10_1007_s40819_017_0348_y crossref_primary_10_3390_math12101605 crossref_primary_10_3389_fphy_2022_1087225 crossref_primary_10_1016_j_fiae_2017_06_003 crossref_primary_10_1007_s40819_016_0296_y crossref_primary_10_1016_j_psra_2016_06_003 crossref_primary_10_3390_sym14081638 crossref_primary_10_3233_JIFS_181488 crossref_primary_10_1007_s41066_017_0060_7 crossref_primary_10_1080_23311835_2016_1213214 crossref_primary_10_1007_s12190_023_01970_9 crossref_primary_10_1007_s12190_024_02152_x |
| Cites_doi | 10.3233/IFS-120756 10.1007/s13042-014-0313-6 10.1080/18756891.2015.1063243 10.1016/S0020-0255(71)80005-1 10.1007/s00500-015-1600-1 10.1016/j.ins.2014.07.038 10.1016/0167-8655(93)90115-T 10.1201/9781420082241 10.1007/s10910-006-9108-7 10.1007/s00521-011-0772-6 10.1016/j.knosys.2012.08.022 10.12732/ijpam.v98i3.10 10.1007/978-3-642-59448-9_13 10.1007/s12543-013-0140-6 10.1016/S0019-9958(65)90241-X 10.1016/S0898-1221(99)00056-5 10.3233/IFS-141333 10.1016/j.ins.2013.03.049 10.1016/j.ins.2008.02.012 10.1109/21.229476 10.1016/j.ins.2011.07.037 |
| ContentType | Journal Article |
| Copyright | Springer-Verlag Berlin Heidelberg 2015 Springer-Verlag Berlin Heidelberg 2015. |
| Copyright_xml | – notice: Springer-Verlag Berlin Heidelberg 2015 – notice: Springer-Verlag Berlin Heidelberg 2015. |
| DBID | AAYXX CITATION 8FE 8FG ABJCF AFKRA ARAPS AZQEC BENPR BGLVJ CCPQU DWQXO GNUQQ HCIFZ JQ2 K7- L6V M7S P5Z P62 PQEST PQQKQ PQUKI PTHSS |
| DOI | 10.1007/s13042-015-0475-x |
| DatabaseName | CrossRef ProQuest SciTech Collection ProQuest Technology Collection Materials Science & Engineering Collection ProQuest Central UK/Ireland Advanced Technologies & Aerospace Database (1962 - current) ProQuest Central Essentials AUTh Library subscriptions: ProQuest Central Technology Collection ProQuest One Community College ProQuest Central ProQuest Central Student SciTech Premium Collection (Proquest) (PQ_SDU_P3) ProQuest Computer Science Collection Computer Science Database ProQuest Engineering Collection ProQuest Engineering Database ProQuest Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Academic ProQuest One Academic UKI Edition Engineering Collection |
| DatabaseTitle | CrossRef Advanced Technologies & Aerospace Collection Engineering Database Computer Science Database ProQuest Central Student Technology Collection ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection ProQuest One Academic Eastern Edition SciTech Premium Collection ProQuest One Community College ProQuest Technology Collection ProQuest SciTech Collection ProQuest Central Advanced Technologies & Aerospace Database ProQuest Engineering Collection ProQuest One Academic UKI Edition ProQuest Central Korea Materials Science & Engineering Collection ProQuest One Academic Engineering Collection |
| DatabaseTitleList | Advanced Technologies & Aerospace Collection |
| Database_xml | – sequence: 1 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering Sciences (General) |
| EISSN | 1868-808X |
| EndPage | 1092 |
| ExternalDocumentID | 10_1007_s13042_015_0475_x |
| GroupedDBID | -EM 06D 0R~ 0VY 1N0 203 29~ 2JY 2VQ 30V 4.4 406 408 409 40D 96X AAFGU AAHNG AAIAL AAJKR AANZL AAPBV AARHV AARTL AATNV AATVU AAUYE AAWCG AAYFA AAYIU AAYQN AAYTO AAZMS ABBXA ABDZT ABECU ABFGW ABFTD ABFTV ABHQN ABJNI ABJOX ABKAS ABKCH ABMQK ABQBU ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABWNU ABXPI ACBMV ACBRV ACBYP ACGFS ACHSB ACIGE ACIPQ ACKNC ACMLO ACOKC ACTTH ACVWB ACWMK ADHHG ADHIR ADINQ ADKNI ADKPE ADMDM ADOXG ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFTE AEGNC AEJHL AEJRE AENEX AEOHA AEPYU AESKC AESTI AETCA AEVLU AEVTX AEXYK AFLOW AFNRJ AFQWF AFWTZ AFZKB AGAYW AGDGC AGGBP AGJBK AGMZJ AGQMX AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AIAKS AIIXL AILAN AIMYW AITGF AJBLW AJDOV AJRNO AJZVZ AKLTO AKQUC ALFXC ALMA_UNASSIGNED_HOLDINGS AMKLP AMXSW AMYLF AMYQR ANMIH AUKKA AXYYD AYJHY BGNMA CSCUP DNIVK DPUIP EBLON EBS EIOEI EJD ESBYG FERAY FIGPU FINBP FNLPD FRRFC FSGXE FYJPI GGCAI GGRSB GJIRD GQ6 GQ7 GQ8 HMJXF HQYDN HRMNR HZ~ I0C IKXTQ IWAJR IXD IZIGR J-C J0Z JBSCW JCJTX JZLTJ KOV LLZTM M4Y NPVJJ NQJWS NU0 O9- O93 O9J P2P P9P PT4 QOS R89 R9I RLLFE ROL RSV S27 S3B SEG SHX SISQX SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE T13 TSG U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW W48 WK8 Z45 Z7R Z7S Z7X Z7Y Z7Z Z83 Z88 ZMTXR ~A9 AACDK AAJBT AASML AAYXX ABAKF ABJCF ACAOD ACDTI ACZOJ AEFQL AEMSY AFBBN AFKRA AGQEE AGRTI AIGIU ARAPS BENPR BGLVJ CCPQU CITATION H13 HCIFZ K7- M7S PTHSS SJYHP 8FE 8FG AZQEC DWQXO GNUQQ JQ2 L6V P62 PQEST PQQKQ PQUKI |
| ID | FETCH-LOGICAL-c316t-18b0be0ee5437a623f853bbe7a05f8183297fa2dc12e3e3163297380e90fefa53 |
| IEDL.DBID | U2A |
| ISSN | 1868-8071 |
| IngestDate | Thu Oct 10 22:01:26 EDT 2024 Thu Sep 12 18:29:33 EDT 2024 Sat Dec 16 12:04:26 EST 2023 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 4 |
| Keywords | Vague graph Vague set Energy of vague graph 05C99 05C22 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c316t-18b0be0ee5437a623f853bbe7a05f8183297fa2dc12e3e3163297380e90fefa53 |
| PQID | 2919616316 |
| PQPubID | 2043904 |
| PageCount | 12 |
| ParticipantIDs | proquest_journals_2919616316 crossref_primary_10_1007_s13042_015_0475_x springer_journals_10_1007_s13042_015_0475_x |
| PublicationCentury | 2000 |
| PublicationDate | 2017-08-01 |
| PublicationDateYYYYMMDD | 2017-08-01 |
| PublicationDate_xml | – month: 08 year: 2017 text: 2017-08-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationPlace | Berlin/Heidelberg |
| PublicationPlace_xml | – name: Berlin/Heidelberg – name: Heidelberg |
| PublicationTitle | International journal of machine learning and cybernetics |
| PublicationTitleAbbrev | Int. J. Mach. Learn. & Cyber |
| PublicationYear | 2017 |
| Publisher | Springer Berlin Heidelberg Springer Nature B.V |
| Publisher_xml | – name: Springer Berlin Heidelberg – name: Springer Nature B.V |
| References | Akram M, Gani N, Borumand Saeid A (2014) Vague hypergraphs. J Intell Fuzzy Syst 26:647–653 HararyFGraph theory19723ReadingAddison-Wesley0235.05105 LiuHLuMTianFSome upper bounds for the energy of graphsJ Math Chem200742377386237221710.1007/s10910-006-9135-4 ZadehLASimilarity relations and fuzzy orderingInf Sci1971317720029765010.1016/S0020-0255(71)80005-10218.02058 BrualdiRACvetkovicDA combinatorial approach to matrix theory and it’s application2008Boca RatonCRC Press10.1201/9781420082241 RamakrishnaNVague graphsInt J Comput Cognit200975158 Singh PK, Aswani Kumar C, Li J (2014) Concepts reduction in formal concept analysis with fuzzy setting using Shannon entropy. Int J Mach Learn Cybern. doi:10.1007/s13042-014-0313-6 RashmanlouHJunYBComplete interval-valued fuzzy graphsAnn Fuzzy Math Inform20136367768731210451302.05153 DeepaGPrabaBChandrasekaranVMMax–Min intuitionistic fuzzy matrix of an intuitionistic fuzzy graphInt J Pure Appl Math201598337538710.12732/ijpam.v98i3.101329.05249 GutmanIBettenAKohnerALaueRWassermannAThe energy of a graph: old and new resultsAlgebraic combinatorics and applications2001BerlinSpringer19621110.1007/978-3-642-59448-9_13 Singh PK, Aswani Kumar C (2014) Bipolar fuzzy graph representation of concept lattice. Inf Sci 288:437–448 AkramMBipolar fuzzy graphsInf Sci201118155485564284567110.1016/j.ins.2011.07.0371239.05156 GauWLBuehrerDJVague setsIEEE Trans Syst Man Cybern199323261061410.1109/21.2294760782.04008 MordesonJNFuzzy line graphsPattern Recognit Lett19931438138410.1016/0167-8655(93)90115-T0785.05069 SamantaSPalMFuzzy tolerance graphsInt J Latest Trend Math2011125767 SamantaSPalMFuzzy k-competition graphs and p-competition fuzzy graphsFuzzy Eng Inf201352191204307310510.1007/s12543-013-0140-6 PrabaBChandrasekaranVMDeepaGEnergy of an intuitionistic fuzzy graphItal J Pure Appl Math20143243144432570181329.05249 Kauffman A (1973) Introduction a la Theorie des Sous-Emsembles Flous, vol 1. Masson et Cie RashmanlouHSamantaSPalMBorzooeiRABipolar fuzzy graphs with categorical propertiesInt J Comput Intell Syst20158580881810.1080/18756891.2015.10632431351.05188 RashmanlouHPalMAntipodal interval-valued fuzzy graphsInt J Appl Fuzzy Sets Artif Intell20133107130 RashmanlouHPalMBalanced interval-valued fuzzy graphJ Phys Sci20131743573166330 AnjaliNMathewSEnergy of a fuzzy graphAnn Fuzzy Math Inform20138345546531210281302.05152 AkramMDudekWARegular bipolar fuzzy graphsNeural Comput Appl2012119720510.1007/s00521-011-0772-6 AkramMFengFSarwarSJunYBCertain types of vague graphsUniv Politeh Buchar Sci Bull Ser A2014761141154317880506703586 AkramMBipolar fuzzy graphs with applicationsKnowl Based Syst2013391810.1016/j.knosys.2012.08.0221358.17035 SamantaSPalMIrregular bipolar fuzzy graphsInt J Appl Fuzzy Sets2012291102 ZadehLAIs there a need for fuzzy logic?Inf Sci200817827512779241498510.1016/j.ins.2008.02.0121148.68047 ShaoJGongFDuZExtremal energies of weighted trees and forests with fixed total weight sumMATCH Commun Chem20116687989028847721265.05413 SamantaSPalMFuzzy threshold graphsCiiT Int J Fuzzy Syst2011312360364 SamantaSPalMPalANew concepts of fuzzy planar graphInt J Adv Res Artif Intell2014315259 RashmanlouHSamantaSPalMBorzooeiRAA study on bipolar fuzzy graphsJ Intell Fuzzy Syst20152857158033111711351.05188 BalabanATChemical application of graph theory1976LondonAcademic Press GutmanIThe energy of a graphBer Math Stat Sekt Forsch Graz19781031220402.05040 PalMRashmanlouHIrregular interval-valued fuzzy graphsAnn Pure Appl Math2013315666 Rosenfeld A (1975) Fuzzy graphs. In: Zadeh LA, Fu KS, Shimura M (eds) Fuzzy sets and their applications. Academic Press, New York, pp 77–95 MolodtsovDSoft set theory-first resultsComput Math Appl1999371931167717810.1016/S0898-1221(99)00056-50936.03049 Singh PK, Aswani Kumar C, Li J (2015) Knowledge representation using interval-valued fuzzy formal concept lattice. Soft Comput. doi:10.1007/s00500-015-1600-1 YangHLLiSGWangWHLuYNotes on bipolar fuzzy graphsInf Sci2013242113121306672110.1016/j.ins.2013.03.0491321.05219 ZadehLAFuzzy setsInf Control1965833835310.1016/S0019-9958(65)90241-X0139.24606 475_CR1 S Samanta (475_CR29) 2014; 3 S Samanta (475_CR30) 2013; 5 475_CR20 J Shao (475_CR32) 2011; 66 S Samanta (475_CR27) 2011; 1 I Gutman (475_CR12) 2001 B Praba (475_CR19) 2014; 32 M Akram (475_CR4) 2012; 1 N Anjali (475_CR6) 2013; 8 HL Yang (475_CR36) 2013; 242 M Akram (475_CR5) 2013; 39 N Ramakrishna (475_CR21) 2009; 7 I Gutman (475_CR11) 1978; 103 RA Brualdi (475_CR8) 2008 H Liu (475_CR15) 2007; 42 M Akram (475_CR3) 2011; 181 H Rashmanlou (475_CR23) 2013; 17 S Samanta (475_CR31) 2012; 2 475_CR14 475_CR35 H Rashmanlou (475_CR22) 2013; 3 475_CR34 475_CR33 H Rashmanlou (475_CR25) 2013; 6 LA Zadeh (475_CR39) 2008; 178 WL Gau (475_CR10) 1993; 23 JN Mordeson (475_CR16) 1993; 14 AT Balaban (475_CR7) 1976 M Akram (475_CR2) 2014; 76 M Pal (475_CR18) 2013; 3 D Molodtsov (475_CR17) 1999; 37 S Samanta (475_CR28) 2011; 3 LA Zadeh (475_CR37) 1965; 8 F Harary (475_CR13) 1972 LA Zadeh (475_CR38) 1971; 3 H Rashmanlou (475_CR26) 2015; 8 G Deepa (475_CR9) 2015; 98 H Rashmanlou (475_CR24) 2015; 28 |
| References_xml | – ident: 475_CR1 doi: 10.3233/IFS-120756 – volume: 7 start-page: 51 year: 2009 ident: 475_CR21 publication-title: Int J Comput Cognit contributor: fullname: N Ramakrishna – volume: 2 start-page: 91 year: 2012 ident: 475_CR31 publication-title: Int J Appl Fuzzy Sets contributor: fullname: S Samanta – ident: 475_CR35 doi: 10.1007/s13042-014-0313-6 – volume: 8 start-page: 808 issue: 5 year: 2015 ident: 475_CR26 publication-title: Int J Comput Intell Syst doi: 10.1080/18756891.2015.1063243 contributor: fullname: H Rashmanlou – volume: 3 start-page: 177 year: 1971 ident: 475_CR38 publication-title: Inf Sci doi: 10.1016/S0020-0255(71)80005-1 contributor: fullname: LA Zadeh – ident: 475_CR34 doi: 10.1007/s00500-015-1600-1 – volume: 103 start-page: 1 year: 1978 ident: 475_CR11 publication-title: Ber Math Stat Sekt Forsch Graz contributor: fullname: I Gutman – ident: 475_CR33 doi: 10.1016/j.ins.2014.07.038 – volume: 17 start-page: 43 year: 2013 ident: 475_CR23 publication-title: J Phys Sci contributor: fullname: H Rashmanlou – volume: 14 start-page: 381 year: 1993 ident: 475_CR16 publication-title: Pattern Recognit Lett doi: 10.1016/0167-8655(93)90115-T contributor: fullname: JN Mordeson – volume: 32 start-page: 431 year: 2014 ident: 475_CR19 publication-title: Ital J Pure Appl Math contributor: fullname: B Praba – volume-title: A combinatorial approach to matrix theory and it’s application year: 2008 ident: 475_CR8 doi: 10.1201/9781420082241 contributor: fullname: RA Brualdi – volume: 1 start-page: 57 issue: 2 year: 2011 ident: 475_CR27 publication-title: Int J Latest Trend Math contributor: fullname: S Samanta – ident: 475_CR14 – volume: 42 start-page: 377 year: 2007 ident: 475_CR15 publication-title: J Math Chem doi: 10.1007/s10910-006-9108-7 contributor: fullname: H Liu – volume: 3 start-page: 56 issue: 1 year: 2013 ident: 475_CR18 publication-title: Ann Pure Appl Math contributor: fullname: M Pal – volume: 1 start-page: 197 year: 2012 ident: 475_CR4 publication-title: Neural Comput Appl doi: 10.1007/s00521-011-0772-6 contributor: fullname: M Akram – volume: 39 start-page: 1 year: 2013 ident: 475_CR5 publication-title: Knowl Based Syst doi: 10.1016/j.knosys.2012.08.022 contributor: fullname: M Akram – volume: 98 start-page: 375 issue: 3 year: 2015 ident: 475_CR9 publication-title: Int J Pure Appl Math doi: 10.12732/ijpam.v98i3.10 contributor: fullname: G Deepa – start-page: 196 volume-title: Algebraic combinatorics and applications year: 2001 ident: 475_CR12 doi: 10.1007/978-3-642-59448-9_13 contributor: fullname: I Gutman – volume: 5 start-page: 191 issue: 2 year: 2013 ident: 475_CR30 publication-title: Fuzzy Eng Inf doi: 10.1007/s12543-013-0140-6 contributor: fullname: S Samanta – volume: 8 start-page: 338 year: 1965 ident: 475_CR37 publication-title: Inf Control doi: 10.1016/S0019-9958(65)90241-X contributor: fullname: LA Zadeh – volume-title: Chemical application of graph theory year: 1976 ident: 475_CR7 contributor: fullname: AT Balaban – volume: 3 start-page: 52 issue: 1 year: 2014 ident: 475_CR29 publication-title: Int J Adv Res Artif Intell contributor: fullname: S Samanta – volume: 6 start-page: 677 issue: 3 year: 2013 ident: 475_CR25 publication-title: Ann Fuzzy Math Inform contributor: fullname: H Rashmanlou – volume: 37 start-page: 19 year: 1999 ident: 475_CR17 publication-title: Comput Math Appl doi: 10.1016/S0898-1221(99)00056-5 contributor: fullname: D Molodtsov – volume: 76 start-page: 141 issue: 1 year: 2014 ident: 475_CR2 publication-title: Univ Politeh Buchar Sci Bull Ser A contributor: fullname: M Akram – volume: 3 start-page: 107 year: 2013 ident: 475_CR22 publication-title: Int J Appl Fuzzy Sets Artif Intell contributor: fullname: H Rashmanlou – volume: 28 start-page: 571 year: 2015 ident: 475_CR24 publication-title: J Intell Fuzzy Syst doi: 10.3233/IFS-141333 contributor: fullname: H Rashmanlou – volume: 3 start-page: 360 issue: 12 year: 2011 ident: 475_CR28 publication-title: CiiT Int J Fuzzy Syst contributor: fullname: S Samanta – volume: 66 start-page: 879 year: 2011 ident: 475_CR32 publication-title: MATCH Commun Chem contributor: fullname: J Shao – volume: 8 start-page: 455 issue: 3 year: 2013 ident: 475_CR6 publication-title: Ann Fuzzy Math Inform contributor: fullname: N Anjali – ident: 475_CR20 – volume: 242 start-page: 113 year: 2013 ident: 475_CR36 publication-title: Inf Sci doi: 10.1016/j.ins.2013.03.049 contributor: fullname: HL Yang – volume: 178 start-page: 2751 year: 2008 ident: 475_CR39 publication-title: Inf Sci doi: 10.1016/j.ins.2008.02.012 contributor: fullname: LA Zadeh – volume: 23 start-page: 610 issue: 2 year: 1993 ident: 475_CR10 publication-title: IEEE Trans Syst Man Cybern doi: 10.1109/21.229476 contributor: fullname: WL Gau – volume: 181 start-page: 5548 year: 2011 ident: 475_CR3 publication-title: Inf Sci doi: 10.1016/j.ins.2011.07.037 contributor: fullname: M Akram – volume-title: Graph theory year: 1972 ident: 475_CR13 contributor: fullname: F Harary |
| SSID | ssj0000603302 ssib031263576 ssib033405570 |
| Score | 2.311063 |
| Snippet | The concept of vague graph was introduced by Ramakrishna (Int J Comput Cognit 7:51–58,
2009
). Since the vague models give more precision, flexibility, and... The concept of vague graph was introduced by Ramakrishna (Int J Comput Cognit 7:51–58, 2009). Since the vague models give more precision, flexibility, and... |
| SourceID | proquest crossref springer |
| SourceType | Aggregation Database Publisher |
| StartPage | 1081 |
| SubjectTerms | Artificial Intelligence Combinatorial analysis Complex Systems Computational Intelligence Control Energy Engineering Fuzzy sets Graphs Mathematical analysis Matrices (mathematics) Mechatronics Original Article Pattern Recognition Robotics Systems Biology Upper bounds |
| SummonAdditionalLinks | – databaseName: ProQuest Technology Collection dbid: 8FG link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV3LS8MwGA86L17E-cDplB48-CCYR_PoSUScQ9CTg91K2n7xtk27yf58kzS1KOg1hUB-_d758vsQOi-1MCAr6zvVAKfSVDgDBphaxalQqdFhdMLzixxP0qepmMaCWx3bKlubGAx1NS99jfyGZU5WXPBA5e3iHfupUf52NY7Q2ERblCnlky89emzliVPPtNK5W87TwDj1XYMh0q01bYlaas_LS9uLz_C6zqf6LtcWmKRK4PVP19XFo7-uUINnGu2inRhSJneNDPTRBsz2UD8qbZ1cRGbpy300dCYtKZuHinUyt8mneVtBEkir6wM0GT283o9xHI-AS4fCElNdkAIIgEi5Mi6Msc71FgUoQ4TVXlUzZQ2rSsrAlzqlX-CaQEYsWCP4IerN5jM4Qokn2aPOS1muRSorVRCoXGZomDGGWaYH6Ko9eb5oWDDyju_Yw5Q7mHIPU74eoGGLTR4Vos673zdA1y1e3ec_Nzv-f7MTtM28nw0deUPUW36s4NRFCcviLIjCFx63sbY priority: 102 providerName: ProQuest |
| Title | New concepts of vague graphs |
| URI | https://link.springer.com/article/10.1007/s13042-015-0475-x https://www.proquest.com/docview/2919616316 |
| Volume | 8 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3NS8MwFH_M7aIHcVNxOkcPHvwg0iRNmh43WTcUh4gDPZV0TTwIndhN_PNN-rGq6MFTIC1teX0vv_eVXwBO5oJJxRNtO9UU8rhMUKCIQlj7FDPfkyI_OuF2yicz7_qRPTaArFMX6ctlVZHMF-p6r5sNvE3ky5Dr-QwZv7HFLBua0eEZGVQ6RLFlV6khllIvZ5la511cbuaKVkTBheXixVWx87e3fIer2gf9UTbN0Sjcge3SjXQGxX9vQ0OlHdj6Qi7YgXZptplzWnJLn-1CzyxqzrzYqpg5C-28y-eVcnLa6mwPZuHo4WqCygMS0JxivkRYxG6sXKWYR31pHBltwDeOlS9dpoU11sDXkiRzTJRNdnI7QYWrAlcrLRndh2a6SNUBOJZmDxuc0lQwjyd-7KrExIaSSCmJJqIL55UcoteCByOqGY-t0CIjtMgKLfroQq-SVFSaRBaRwBi7-QTMu3BRSa--_OfDDv919xFsEgu8eYteD5rLt5U6Nm7DMu7DhgjHfWgNwuFwasfx083IjMPR9O6-n2vRJzUguFc |
| link.rule.ids | 315,783,787,12777,21400,27936,27937,33385,33756,41093,41535,42162,42604,43612,43817,52123,52246 |
| linkProvider | Springer Nature |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV3LS8MwGA-6HfQiPnE6tQcPPgjm0aTpSVQ2pm5DZIPdQtom3rZpN9mfb9KmFgW9phDIr987X34fAOepYErzzLhONQ1DrjIYa6IhNhHFLAqVKEYnDIa8Nw6fJmziC265b6usbGJhqLNZ6mrkNyS2smKDB8xv5-_QTY1yt6t-hMY6aDqqKpt8Ne87w5fXSqIodlwrtcOlNCw4p76rMIjbtbIxUXDhmHlxdfVZvK9zyb7NthlEYcTg6qfzqiPSX5eohW_qboMtH1QGd6UU7IA1Pd0FO15t8-DCc0tf7oG2NWpBWj5VzIOZCT7V21IHBW11vg_G3c7ooQf9gASYWhwWEIsEJRppzUIaKRvIGOt8k0RHCjEjnLLGkVEkSzHRrtjJ3QIVSMfIaKMYPQCN6WyqD0HgaPaw9VOGChbyLEqQzmxuqIhSihgiWuCqOrmclzwYsmY8djBJC5N0MMlVC7QrbKRXiVzWP7AFriu86s9_bnb0_2ZnYKM3GvRl_3H4fAw2ifO6RX9eGzQWH0t9YmOGRXLqBeMLwqW2Bw |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV07T8MwED6hVkIwAC0gCgUyMPBQ2jiOHWesoKVQqBioVKbgJDYDUluRFCF-PXYeBCoYEKsTJfH5ct-d7-4zwFHICBc0krpSTZgO5ZHpCVuYSLoYEdfhLD064XZI-yPnekzG-TmncVHtXqQks54GzdI0SdqzSLbLxjcdhaswmJiW4xJTOZFVRxMjVaDauXwYdAuVwkiTrZSIi7GTkk59bsNYVI1llYmMMk3Ni4rc50_v-Y5epUu6kEVNwam3Do_FtLKalOfWPAla4fsC4-M_5r0Ba7njanQyTavBkpjUYfULnWEdarmhiI3jnM36ZBOayowaYdYcGRtTabzyp7kwUqLseAtGve79ed_Mj2QwQ4xoYiIWWIGwhCAOdrlynaSC-yAQLreIZNo8eK7kdhQiW-jtVaoHMLOEZ0khOcHbUJlMJ2IHDE3shxQySsyIQyM3sESkolFuc85tabMGnBai9mcZ84ZfcixrOfhKDr6Wg__WgGaxGH7-E8a-7Snzoj4B0QacFbItL__6sN0_3X0Iy3cXPf_majjYgxVbo35aH9iESvIyF_vKZ0mCg1wvPwAlP9wF |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=New+concepts+of+vague+graphs&rft.jtitle=International+journal+of+machine+learning+and+cybernetics&rft.au=Borzooei%2C+R.+A.&rft.au=Rashmanlou%2C+Hossein&rft.date=2017-08-01&rft.pub=Springer+Berlin+Heidelberg&rft.issn=1868-8071&rft.eissn=1868-808X&rft.volume=8&rft.issue=4&rft.spage=1081&rft.epage=1092&rft_id=info:doi/10.1007%2Fs13042-015-0475-x&rft.externalDocID=10_1007_s13042_015_0475_x |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1868-8071&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1868-8071&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1868-8071&client=summon |