Interval Valued Intuitionistic Fuzzy Line Graphs
Abstract Objectives In the field of graph theory, an intuitionistic fuzzy set becomes a useful tool to handle problems related to uncertainty and impreciseness. We introduced the interval-valued intuitionistic fuzzy line graphs (IVIFLG) and explored the results related to IVIFLG. Result Some proposi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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BMC
2022-07-01
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| Series: | BMC Research Notes |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13104-022-06124-x |
| _version_ | 1818510646091710464 |
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| author | V. N. Srinivasa Rao Repalle Keneni Abera Tola Mamo Abebe Ashebo |
| author_facet | V. N. Srinivasa Rao Repalle Keneni Abera Tola Mamo Abebe Ashebo |
| author_sort | V. N. Srinivasa Rao Repalle |
| collection | DOAJ |
| description | Abstract Objectives In the field of graph theory, an intuitionistic fuzzy set becomes a useful tool to handle problems related to uncertainty and impreciseness. We introduced the interval-valued intuitionistic fuzzy line graphs (IVIFLG) and explored the results related to IVIFLG. Result Some propositions and theorems related to IVIFLG are proposed and proved, which are originated from intuitionistic fuzzy graphs (IVIG). Furthermore, Isomorphism between two IVIFLGs toward their IVIFGs was determined and verified. |
| first_indexed | 2024-12-10T23:22:48Z |
| format | Article |
| id | doaj.art-3400621f02494c5a844ea0c7d39d93f2 |
| institution | Directory Open Access Journal |
| issn | 1756-0500 |
| language | English |
| last_indexed | 2024-12-10T23:22:48Z |
| publishDate | 2022-07-01 |
| publisher | BMC |
| record_format | Article |
| series | BMC Research Notes |
| spelling | doaj.art-3400621f02494c5a844ea0c7d39d93f22022-12-22T01:29:39ZengBMCBMC Research Notes1756-05002022-07-011511910.1186/s13104-022-06124-xInterval Valued Intuitionistic Fuzzy Line GraphsV. N. Srinivasa Rao Repalle0Keneni Abera Tola1Mamo Abebe Ashebo2Department of Mathematics, Wollega UniversityDepartment of Mathematics, Wollega UniversityDepartment of Mathematics, Wollega UniversityAbstract Objectives In the field of graph theory, an intuitionistic fuzzy set becomes a useful tool to handle problems related to uncertainty and impreciseness. We introduced the interval-valued intuitionistic fuzzy line graphs (IVIFLG) and explored the results related to IVIFLG. Result Some propositions and theorems related to IVIFLG are proposed and proved, which are originated from intuitionistic fuzzy graphs (IVIG). Furthermore, Isomorphism between two IVIFLGs toward their IVIFGs was determined and verified.https://doi.org/10.1186/s13104-022-06124-xFuzzy setInterval-valued intuitionistic fuzzy line graphInterval-valued intuitionistic fuzzy graphIsomorphism |
| spellingShingle | V. N. Srinivasa Rao Repalle Keneni Abera Tola Mamo Abebe Ashebo Interval Valued Intuitionistic Fuzzy Line Graphs BMC Research Notes Fuzzy set Interval-valued intuitionistic fuzzy line graph Interval-valued intuitionistic fuzzy graph Isomorphism |
| title | Interval Valued Intuitionistic Fuzzy Line Graphs |
| title_full | Interval Valued Intuitionistic Fuzzy Line Graphs |
| title_fullStr | Interval Valued Intuitionistic Fuzzy Line Graphs |
| title_full_unstemmed | Interval Valued Intuitionistic Fuzzy Line Graphs |
| title_short | Interval Valued Intuitionistic Fuzzy Line Graphs |
| title_sort | interval valued intuitionistic fuzzy line graphs |
| topic | Fuzzy set Interval-valued intuitionistic fuzzy line graph Interval-valued intuitionistic fuzzy graph Isomorphism |
| url | https://doi.org/10.1186/s13104-022-06124-x |
| work_keys_str_mv | AT vnsrinivasaraorepalle intervalvaluedintuitionisticfuzzylinegraphs AT keneniaberatola intervalvaluedintuitionisticfuzzylinegraphs AT mamoabebeashebo intervalvaluedintuitionisticfuzzylinegraphs |