Fuzzy Graph Structures with Application
In this article, we introduce the notions of maximal products of fuzzy graph structures, regular fuzzy graph structures, and describe these notions with examples and properties. Further, we present the degree and total degree of a vertex in maximal product of fuzzy graph structures and explain some...
Saved in:
| Published in | Mathematics (Basel) Vol. 7; no. 1; p. 63 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Basel
MDPI AG
01.01.2019
|
| Subjects | |
| Online Access | Get full text |
| ISSN | 2227-7390 2227-7390 |
| DOI | 10.3390/math7010063 |
Cover
| Abstract | In this article, we introduce the notions of maximal products of fuzzy graph structures, regular fuzzy graph structures, and describe these notions with examples and properties. Further, we present the degree and total degree of a vertex in maximal product of fuzzy graph structures and explain some of their properties. Furthermore, we develop a flowchart to show general procedure of application of fuzzy graph structure, regarding identification of most controversial issues among countries. |
|---|---|
| AbstractList | In this article, we introduce the notions of maximal products of fuzzy graph structures, regular fuzzy graph structures, and describe these notions with examples and properties. Further, we present the degree and total degree of a vertex in maximal product of fuzzy graph structures and explain some of their properties. Furthermore, we develop a flowchart to show general procedure of application of fuzzy graph structure, regarding identification of most controversial issues among countries. |
| Author | Akram, Muhammad Sitara, Muzzamal Yousaf Bhatti, Muhammad |
| Author_xml | – sequence: 1 givenname: Muzzamal surname: Sitara fullname: Sitara, Muzzamal – sequence: 2 givenname: Muhammad orcidid: 0000-0001-7217-7962 surname: Akram fullname: Akram, Muhammad – sequence: 3 givenname: Muhammad surname: Yousaf Bhatti fullname: Yousaf Bhatti, Muhammad |
| BookMark | eNqFkE9LwzAYh4NMcM6d_AIDDx60mv9pjmO4ORh4UM8hTVOX0TU1TZHt01tXkSGC7yUvP548Ib9zMKh8ZQG4RPCOEAnvtzquBUQQcnIChhhjkYguHxztZ2DcNBvYjUQkpXIIruftfr-bLIKu15PnGFoT22CbyYeL68m0rktndHS-ugCnhS4bO_4-R-B1_vAye0xWT4vlbLpKDOE0JoUw0kLOaW4ZyQgRPM8ZgSQVBAkIcy5kZgsmtc4NphhqmUKZYSsYZwZDQ0Zg2XtzrzeqDm6rw0557dQh8OFN6RCdKa3itDA2gwZxYyhLu-ekLaRM05SjgmDauW57V1vVevehy_JHiKD66kwdddbhVz1eB__e2iaqjW9D1f1WYUZTziBlqKNuesoE3zTBFv840S_auHgoNAbtyj_vfAIGHYmQ |
| CitedBy_id | crossref_primary_10_3390_sym12101582 crossref_primary_10_1155_2022_6281592 crossref_primary_10_1109_TFUZZ_2023_3323093 crossref_primary_10_1007_s11696_025_03979_9 crossref_primary_10_1080_00207721_2023_2233971 crossref_primary_10_1007_s11276_022_03180_w crossref_primary_10_3390_sym14102081 crossref_primary_10_1155_2020_8814220 crossref_primary_10_1007_s11227_024_06169_8 crossref_primary_10_1016_j_asoc_2024_111642 crossref_primary_10_1155_2022_8016096 crossref_primary_10_1007_s12190_019_01249_y crossref_primary_10_1038_s41598_024_68371_1 crossref_primary_10_3390_sym15051003 crossref_primary_10_1007_s41066_021_00281_3 crossref_primary_10_1007_s44196_023_00193_x crossref_primary_10_3233_JIFS_222984 crossref_primary_10_3390_math12030498 crossref_primary_10_32604_cmes_2023_030284 crossref_primary_10_1109_TFUZZ_2024_3421595 crossref_primary_10_1155_2020_6846257 crossref_primary_10_1007_s40314_021_01714_0 crossref_primary_10_3233_JIFS_211923 crossref_primary_10_1155_2023_7098134 crossref_primary_10_3389_fphy_2022_1087225 crossref_primary_10_3390_math8081241 crossref_primary_10_1007_s12190_020_01471_z crossref_primary_10_3233_JIFS_201249 |
| Cites_doi | 10.1016/S0020-0255(98)10066-X 10.1016/S0020-0255(71)80005-1 10.1016/j.fiae.2015.11.003 10.3390/sym10090404 10.1016/0167-8655(87)90012-2 10.37622/AFM/6.1.2011.5-12 10.1016/S0020-0255(03)00157-9 10.3390/math5010017 10.1007/978-3-7908-1854-3 10.1016/j.ins.2009.01.003 10.1016/S0019-9958(65)90241-X 10.1016/0020-0255(94)90116-3 10.1007/s00521-011-0772-6 10.1016/0022-247X(71)90199-5 |
| ContentType | Journal Article |
| Copyright | 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| Copyright_xml | – notice: 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| DBID | AAYXX CITATION 3V. 7SC 7TB 7XB 8AL 8FD 8FE 8FG 8FK ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BGLVJ CCPQU DWQXO FR3 GNUQQ HCIFZ JQ2 K7- KR7 L6V L7M L~C L~D M0N M7S P62 PHGZM PHGZT PIMPY PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS Q9U ADTOC UNPAY DOA |
| DOI | 10.3390/math7010063 |
| DatabaseName | CrossRef ProQuest Central (Corporate) Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts ProQuest Central (purchase pre-March 2016) Computing Database (Alumni Edition) Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central (Alumni) (purchase pre-March 2016) ProQuest Materials Science & Engineering ProQuest Central (Alumni) ProQuest Central UK/Ireland Advanced Technologies & Computer Science Collection ProQuest Central Essentials ProQuest Central Technology collection ProQuest One Community College ProQuest Central Engineering Research Database ProQuest Central Student SciTech Premium Collection ProQuest Computer Science Collection Computer Science Database Civil Engineering Abstracts ProQuest Engineering Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional Computing Database Engineering Database ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Premium ProQuest One Academic ProQuest Publicly Available Content ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection ProQuest Central Basic Unpaywall for CDI: Periodical Content Unpaywall DOAJ Open Access Full Text |
| DatabaseTitle | CrossRef Publicly Available Content Database Computer Science Database ProQuest Central Student Technology Collection Technology Research Database Computer and Information Systems Abstracts – Academic ProQuest One Academic Middle East (New) Mechanical & Transportation Engineering Abstracts ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection Computer and Information Systems Abstracts ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Central China ProQuest Central ProQuest One Applied & Life Sciences ProQuest Engineering Collection ProQuest Central Korea ProQuest Central (New) Advanced Technologies Database with Aerospace Engineering Collection Advanced Technologies & Aerospace Collection Civil Engineering Abstracts ProQuest Computing Engineering Database ProQuest Central Basic ProQuest Computing (Alumni Edition) ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest SciTech Collection Computer and Information Systems Abstracts Professional ProQuest One Academic UKI Edition Materials Science & Engineering Collection Engineering Research Database ProQuest One Academic ProQuest One Academic (New) ProQuest Central (Alumni) |
| DatabaseTitleList | Publicly Available Content Database CrossRef |
| Database_xml | – sequence: 1 dbid: DOA name: DOAJ Open Access Full Text url: https://www.doaj.org/ sourceTypes: Open Website – sequence: 2 dbid: UNPAY name: Unpaywall url: https://proxy.k.utb.cz/login?url=https://unpaywall.org/ sourceTypes: Open Access Repository – sequence: 3 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics Computer Science |
| EISSN | 2227-7390 |
| ExternalDocumentID | oai_doaj_org_article_64fceb0c16cc4583b39ef9988861f324 10.3390/math7010063 10_3390_math7010063 |
| GroupedDBID | -~X 5VS 85S 8FE 8FG AADQD AAFWJ AAYXX ABDBF ABJCF ABPPZ ABUWG ACIPV ACIWK ADBBV AFKRA AFPKN AFZYC ALMA_UNASSIGNED_HOLDINGS AMVHM ARAPS AZQEC BCNDV BENPR BGLVJ BPHCQ CCPQU CITATION DWQXO GNUQQ GROUPED_DOAJ HCIFZ IAO K6V K7- KQ8 L6V M7S MODMG M~E OK1 PHGZM PHGZT PIMPY PQGLB PQQKQ PROAC PTHSS RNS 3V. 7SC 7TB 7XB 8AL 8FD 8FK FR3 JQ2 KR7 L7M L~C L~D M0N P62 PKEHL PQEST PQUKI PRINS Q9U ADTOC IPNFZ ITC RIG UNPAY |
| ID | FETCH-LOGICAL-c364t-f7c9e0664de53b3376dd53038731700d679bef59aadc2420a9809b2e7565c20c3 |
| IEDL.DBID | BENPR |
| ISSN | 2227-7390 |
| IngestDate | Tue Oct 14 19:08:27 EDT 2025 Sun Oct 26 04:09:03 EDT 2025 Fri Jul 25 12:06:04 EDT 2025 Thu Oct 16 04:41:51 EDT 2025 Thu Apr 24 23:09:15 EDT 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Language | English |
| License | cc-by |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c364t-f7c9e0664de53b3376dd53038731700d679bef59aadc2420a9809b2e7565c20c3 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0000-0001-7217-7962 |
| OpenAccessLink | https://www.proquest.com/docview/2548650451?pq-origsite=%requestingapplication%&accountid=15518 |
| PQID | 2548650451 |
| PQPubID | 2032364 |
| ParticipantIDs | doaj_primary_oai_doaj_org_article_64fceb0c16cc4583b39ef9988861f324 unpaywall_primary_10_3390_math7010063 proquest_journals_2548650451 crossref_primary_10_3390_math7010063 crossref_citationtrail_10_3390_math7010063 |
| PublicationCentury | 2000 |
| PublicationDate | 2019-01-01 |
| PublicationDateYYYYMMDD | 2019-01-01 |
| PublicationDate_xml | – month: 01 year: 2019 text: 2019-01-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationPlace | Basel |
| PublicationPlace_xml | – name: Basel |
| PublicationTitle | Mathematics (Basel) |
| PublicationYear | 2019 |
| Publisher | MDPI AG |
| Publisher_xml | – name: MDPI AG |
| References | Radha (ref_13) 2008; 12 Ramakrishnan (ref_25) 2011; 8 Sunitha (ref_7) 2002; 33 Mordeson (ref_12) 1994; 79 Harinath (ref_26) 2015; 10 Ramakrishnan (ref_23) 2011; 5 ref_19 Radha (ref_16) 2009; 2 Sunitha (ref_8) 1999; 113 Radha (ref_15) 2008; 31 Sampathkumar (ref_21) 2006; 3 Mathew (ref_11) 2009; 179 Bhattacharya (ref_6) 1987; 6 Bhutani (ref_10) 2003; 155 Zadeh (ref_4) 1971; 3 Radha (ref_14) 2008; 3 Ramakrishnan (ref_24) 2011; 6 ref_22 ref_20 Zadeh (ref_1) 1965; 8 ref_3 Akram (ref_18) 2015; 7 Rosenfeld (ref_2) 1971; 35 ref_9 ref_5 Akram (ref_17) 2012; 21 |
| References_xml | – volume: 31 start-page: 321 year: 2008 ident: ref_15 article-title: Some sequences in fuzzy graphs publication-title: Far East J. Appl. Math. – volume: 3 start-page: 65 year: 2006 ident: ref_21 article-title: Generalized graph structures publication-title: Bull. Kerala Math. Assoc. – ident: ref_5 – ident: ref_3 – volume: 5 start-page: 173 year: 2011 ident: ref_23 article-title: On generalised fuzzy graph structures publication-title: Appl. Math. Sci. – volume: 12 start-page: 33 year: 2008 ident: ref_13 article-title: On regular fuzzy graphs publication-title: J. Phys. Sci. – volume: 113 start-page: 293 year: 1999 ident: ref_8 article-title: A characterization of fuzzy trees publication-title: Inf. Sci. doi: 10.1016/S0020-0255(98)10066-X – volume: 3 start-page: 177 year: 1971 ident: ref_4 article-title: Similarity relations and fuzzy orderings publication-title: Inf. Sci. doi: 10.1016/S0020-0255(71)80005-1 – volume: 2 start-page: 107 year: 2009 ident: ref_16 article-title: The degree of a vertex in some fuzzy graphs publication-title: Int. J. Algorithms Comput. Math. – volume: 10 start-page: 80 year: 2015 ident: ref_26 article-title: Fuzzy graph structures publication-title: Int. J. Appl. Eng. Res. – volume: 7 start-page: 423 year: 2015 ident: ref_18 article-title: Operations on soft graphs publication-title: Fuzzy Inf. Eng. doi: 10.1016/j.fiae.2015.11.003 – ident: ref_20 doi: 10.3390/sym10090404 – volume: 8 start-page: 57 year: 2011 ident: ref_25 article-title: On generalised fuzzy graph structures III publication-title: Bull. Kerala Math. Assoc. – volume: 6 start-page: 297 year: 1987 ident: ref_6 article-title: Some remarks on fuzzy graphs publication-title: Pattern Recognit. Lett. doi: 10.1016/0167-8655(87)90012-2 – volume: 6 start-page: 5 year: 2011 ident: ref_24 article-title: On generalised fuzzy graph structures II publication-title: Adv. Fuzzy Math. doi: 10.37622/AFM/6.1.2011.5-12 – volume: 155 start-page: 103 year: 2003 ident: ref_10 article-title: On M-strong fuzzy graphs publication-title: Inf. Sci. doi: 10.1016/S0020-0255(03)00157-9 – volume: 33 start-page: 1451 year: 2002 ident: ref_7 article-title: Complement of a fuzzy graph publication-title: Indian J. Pure Appl. Math. – ident: ref_19 doi: 10.3390/math5010017 – ident: ref_9 doi: 10.1007/978-3-7908-1854-3 – volume: 179 start-page: 1760 year: 2009 ident: ref_11 article-title: Types of arcs in a fuzzy graph publication-title: Inf. Sci. doi: 10.1016/j.ins.2009.01.003 – ident: ref_22 – volume: 8 start-page: 338 year: 1965 ident: ref_1 article-title: Fuzzy sets publication-title: Inf. Control doi: 10.1016/S0019-9958(65)90241-X – volume: 79 start-page: 159 year: 1994 ident: ref_12 article-title: Operations on fuzzy graphs publication-title: Inf. Sci. doi: 10.1016/0020-0255(94)90116-3 – volume: 3 start-page: 61 year: 2008 ident: ref_14 article-title: Conjunction of two fuzzy graphs publication-title: Int. Rev. Fuzzy Math. – volume: 21 start-page: 197 year: 2012 ident: ref_17 article-title: Regular bipolar fuzzy graphs publication-title: Neural Comput. Appl. doi: 10.1007/s00521-011-0772-6 – volume: 35 start-page: 512 year: 1971 ident: ref_2 article-title: Fuzzy groups publication-title: J. Math. Anal. Appl. doi: 10.1016/0022-247X(71)90199-5 |
| SSID | ssj0000913849 |
| Score | 2.267574 |
| Snippet | In this article, we introduce the notions of maximal products of fuzzy graph structures, regular fuzzy graph structures, and describe these notions with... |
| SourceID | doaj unpaywall proquest crossref |
| SourceType | Open Website Open Access Repository Aggregation Database Enrichment Source Index Database |
| StartPage | 63 |
| SubjectTerms | Computer science controversial issues degree of vertex Flow charts Fuzzy sets graph structure Graphs Mathematics maximal product total degree of vertex |
| SummonAdditionalLinks | – databaseName: DOAJ Open Access Full Text dbid: DOA link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LS8NAEF6kF_UgPjFaJYeKIIQm3Ud2j1WsRagXLfQW9omHEgttkfbXO5ukMQXRi9cwLJOZ7M737W6-QagjNSHWChHJ1AFBIZxEwlkXMShlAiZ6gqXf0B-9sOGYPE_opNHqy98JK-WBy8B1GXHaqlgnTGt_xqdgCAccgXOWOEADfvWNuWiQqWINFgnmRJQ_5GHg9V3Af-8pkI-Y4a0SVCj1b8HL3WU-k6tPOZ02Ks3gEB1UEDHsl64doR2bH6P9Ua2vOj9Bt4Pler0Kn7zadPhaSMAugTeHflc17H-fSZ-i8eDx7WEYVS0PIo0ZWUQu1cICCiDGUnhVmP3GUOyPmLEX0jMsFco6KqQ0GoprLAWPherZFHCZ7sUan6FW_pHbcxRSa5TlREnnYDhGBSyJWlOuU6qFcSpAd5soZLrSA_dtKaYZ8AIfsqwRsgB1auNZKYPxs9m9D2dt4rWriweQ0azKaPZXRgPU3iQjqybUPAMeywFMEpoE6KZO0G--XPyHL5doDxCSKPdc2qgFCbVXgEIW6rr44L4A1cXZQg priority: 102 providerName: Directory of Open Access Journals – databaseName: Unpaywall dbid: UNPAY link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3fa9swED6y5GHrQ7duLU2XDT-0FAZO7OiXBYORjaah0DDoAunDMJIsdaMhDW2ykfz1O8V2lpRSSl_NWci-k-77TtIngENlKLVWylAJhwSFJjSUzrqQYyqTONBjonxB_7zPewN6NmTDCnwuz8L4bZVIxX8vJ2l_TjMUyMpbohW3OGlNMvflT1FHwtwvItlOEv4CapwhEq9CbdD_3rn098mVb-ZH8ohvAxHgL4H0I-JkIwkttfo3AObL2Xii5n_VaLSWa7qv4WfZy3yLyXVzNtVNs7gn4Pjcz3gD2wUIDTp51OxAxY7fwtb5SsH17h0cd2eLxTw49XrWwcVSZHaGzDzwddug83_VexcG3ZMf33phcalCaAin09AJIy3iDJpZRjTB-SXLGPGL2MRL9WVcSG0dk0plBtN3pGQSSd22ApGfaUeG7EF1fDO2-xAwm2mbUK2cw-bQBTjpGsMSI5iRmdN1-FT-5dQUiuP-4otRiszDuyRdc0kdDlfGk1xo42Gzr95dKxOvjr18cHN7lRaDLeXUGasjE3Nj_LqwxrBzyCvxJ8cOEWQdGqWz02LI3qXIlBOEq5TFdThaBcBjfTl4ot17eIUwS-aFmwZU0Wf2A0KZqf5YROw_9cHt3g priority: 102 providerName: Unpaywall |
| Title | Fuzzy Graph Structures with Application |
| URI | https://www.proquest.com/docview/2548650451 https://www.mdpi.com/2227-7390/7/1/63/pdf?version=1547092886 https://doaj.org/article/64fceb0c16cc4583b39ef9988861f324 |
| UnpaywallVersion | publishedVersion |
| Volume | 7 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVAFT databaseName: Open Access Digital Library customDbUrl: eissn: 2227-7390 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0000913849 issn: 2227-7390 databaseCode: KQ8 dateStart: 20130101 isFulltext: true titleUrlDefault: http://grweb.coalliance.org/oadl/oadl.html providerName: Colorado Alliance of Research Libraries – providerCode: PRVAON databaseName: DOAJ Open Access Full Text customDbUrl: eissn: 2227-7390 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0000913849 issn: 2227-7390 databaseCode: DOA dateStart: 20130101 isFulltext: true titleUrlDefault: https://www.doaj.org/ providerName: Directory of Open Access Journals – providerCode: PRVEBS databaseName: EBSCOhost Academic Search Ultimate customDbUrl: https://search.ebscohost.com/login.aspx?authtype=ip,shib&custid=s3936755&profile=ehost&defaultdb=asn eissn: 2227-7390 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0000913849 issn: 2227-7390 databaseCode: ABDBF dateStart: 20170101 isFulltext: true titleUrlDefault: https://search.ebscohost.com/direct.asp?db=asn providerName: EBSCOhost – providerCode: PRVHPJ databaseName: ROAD: Directory of Open Access Scholarly Resources customDbUrl: eissn: 2227-7390 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0000913849 issn: 2227-7390 databaseCode: M~E dateStart: 20130101 isFulltext: true titleUrlDefault: https://road.issn.org providerName: ISSN International Centre – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: http://www.proquest.com/pqcentral?accountid=15518 eissn: 2227-7390 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0000913849 issn: 2227-7390 databaseCode: BENPR dateStart: 20130301 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Technology Collection customDbUrl: eissn: 2227-7390 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0000913849 issn: 2227-7390 databaseCode: 8FG dateStart: 20130301 isFulltext: true titleUrlDefault: https://search.proquest.com/technologycollection1 providerName: ProQuest |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1LS8NAEB60HtSDb7E-Sg6KIATT7iO7B5EqVhEsohb0FPaph9LWRxH99c6mSVQQjwnLEmZ2Zr6ZyX4DsKsMpc5JGavUY4JCBY2ldz7mGMokGnqTqFDQv-ryix69vGf3U9At78KE3ypLn5g7ajs0oUZ-iImMQDRBWfN49ByHqVGhu1qO0FDFaAV7lFOMTcNMKzBj1WDm5Kx7fVNVXQILpqByclGPYL5_iLjwKcWkJOHkV2jKGfx_wc7Z8WCkPt5Vv_8jAnWWYKGAjlF7outlmHKDFVgsxzJEhZWuwPxVRcX6ugr7nfHn50d0Hoipo9ucLXaMKXYUCrBR-7t9vQa9ztnd6UVcTEeIDeH0LfapkQ4BA7WOEU3QUVjLSOhGk8C5Z3kqtfNMKmUNxuFESZFI3XIpQjjTSgxZh9pgOHAbEDFntRNUK-9xO84kek9jmDApM9J6XYeDUjCZKajDwwSLfoYpRJBi9kOKdditFo8mjBl_LzsJEq6WBJrr_MXw5TErrCbj1BunE9PkxoQGr8bz4zFBFII3PULBOmyX-skK23vNvk9KHfYqnf33LZv_b7MFcwiT5KTwsg01VJXbQSjyphswLTrnjeKUNfKEHp963ev2wxf5nuE0 |
| linkProvider | ProQuest |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1LT9tAEB5BOACHUl4iLbQ-gCohWTjZh70HVEFLCIVEVQGJm9knHKIkECIUflx_W2edtQGp4sY1Wq2seX4zk_0GYFtqSq0VIpapwwKFZjQWzrqYYyoT6OgNIn1Dv9Pl7Uv664pdzcDf8i2M_1tlGROLQG0G2vfI97CQyRBNUNb4PryL_dYoP10tV2jIsFrB7BcUY-Fhx6mdPGIJN9o_-Yn63mk2W0cXP9px2DIQa8LpQ-xSLSwmXmosI4qgwxnDiJ_qEs9dZ3gqlHVMSGk05rNEiiwRqmlThEK6mWiC987CHCVUYPE3d3jU_f2n6vJ41s2MiunDQEJEsoc49DbFIijh5FUqLDYGvIK58-P-UE4eZa_3IuO1PsKHAFWjg6ltLcOM7a_AUrkGIgpRYQUWOxX162gVvrXGT0-T6NgTYUfnBTvtGEv6yDd8o4PncfkaXL6LnNah1h_07QZEzBplM6qkc3gdZwKjtdYs0ynTwjhVh91SMLkOVOV-Y0Yvx5LFSzF_IcU6bFeHh1OGjv8fO_QSro54Wu3ih8H9TR68NOfUaasS3eBa-4GyQnt1WJBmGW84hJ512Cz1kwdfH-XPllmHnUpnb33Lp7ev-Qrz7YvOWX520j39DAsI0cS06bMJNVSb3UIY9KC-BFuL4Pq9zfsfbDEZYg |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1baxNBFD7ECl4eaq2K0ar70CIISzaZy-48SInWTW8JBS30bTszO6MPIUmbhpL-NH-d5-wtLUjf-roMw3Ku3zkz8x2AbW05d06pUMceCxSe8FB550OJqUyho3eZpob-cCT3T_nhmThrwd_6LQxdq6xjYhGo86mlHnkHC5kE0QQX3Y6vrkWc7KW7s4uQJkjRSWs9TqM0kSO3vMbybf71YA91vdPrpT9-fd8PqwkDoWWSX4U-tsph0uW5E8wwdLY8F4xOdBnx1uUyVsZ5obTOLeaySKskUqbnYoRBthdZhvs-gscxsbjTK_V00PR3iG8z4ap8EsiYijqIQP_EWP5Ekt1JgsWsgDsA9-liMtPLaz0e38p16QasVyA16JdW9RJabrIJL-oBEEEVDzbh-bAhfZ2_gs_p4uZmGQyIAjv4WfDSLrCYD6jVG_RXB-Wv4fRBpPQG1ibTiXsLgXC5cQk32nvcTgqFcdpakdhYWJV704YvtWAyW5GU06yMcYbFCkkxuyXFNmw3i2clN8f_l30jCTdLiFC7-DC9_J1V_plJ7q0zke1Ka-ko2aCleixFk0R2PYLONmzV-skqL59nK5tsw06js_v-5d3923yCJ2jU2fHB6Og9PENspspuzxasodbcB8Q_V-ZjYWgBnD-0Zf8DtTMW_A |
| linkToUnpaywall | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3fa9swED6y5GHrQ7duLU2XDT-0FAZO7OiXBYORjaah0DDoAunDMJIsdaMhDW2ykfz1O8V2lpRSSl_NWci-k-77TtIngENlKLVWylAJhwSFJjSUzrqQYyqTONBjonxB_7zPewN6NmTDCnwuz8L4bZVIxX8vJ2l_TjMUyMpbohW3OGlNMvflT1FHwtwvItlOEv4CapwhEq9CbdD_3rn098mVb-ZH8ohvAxHgL4H0I-JkIwkttfo3AObL2Xii5n_VaLSWa7qv4WfZy3yLyXVzNtVNs7gn4Pjcz3gD2wUIDTp51OxAxY7fwtb5SsH17h0cd2eLxTw49XrWwcVSZHaGzDzwddug83_VexcG3ZMf33phcalCaAin09AJIy3iDJpZRjTB-SXLGPGL2MRL9WVcSG0dk0plBtN3pGQSSd22ApGfaUeG7EF1fDO2-xAwm2mbUK2cw-bQBTjpGsMSI5iRmdN1-FT-5dQUiuP-4otRiszDuyRdc0kdDlfGk1xo42Gzr95dKxOvjr18cHN7lRaDLeXUGasjE3Nj_LqwxrBzyCvxJ8cOEWQdGqWz02LI3qXIlBOEq5TFdThaBcBjfTl4ot17eIUwS-aFmwZU0Wf2A0KZqf5YROw_9cHt3g |
| 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=Fuzzy+Graph+Structures+with+Application&rft.jtitle=Mathematics+%28Basel%29&rft.au=Sitara%2C+Muzzamal&rft.au=Akram%2C+Muhammad&rft.au=Muhammad+Yousaf+Bhatti&rft.date=2019-01-01&rft.pub=MDPI+AG&rft.eissn=2227-7390&rft.volume=7&rft.issue=1&rft.spage=63&rft_id=info:doi/10.3390%2Fmath7010063&rft.externalDBID=HAS_PDF_LINK |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2227-7390&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2227-7390&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2227-7390&client=summon |