{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:40:55Z","timestamp":1777704055502,"version":"3.51.4"},"reference-count":18,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2017,8,24]],"date-time":"2017-08-24T00:00:00Z","timestamp":1503532800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2017,8,24]]},"abstract":"<jats:p>In this paper we discuss about the concepts of vague graphs which gives the precise idea about coloring. We know about the coloring on fuzzy graphs with both fuzzy membership values on vertices and edges. In this work we implement the concept of (\u03b1, \u2002\u03b2) cuts used to define the properties of coloring in vague graphs. Also we relate the idea of coloring on vertices of vague graphs using different methods. In this regard we focus on fuzzifying the vertex membership values of the vague graph into fuzzy membership values and hence implement the concept of coloring in this fuzzified vague graph.<\/jats:p>","DOI":"10.3233\/jifs-17489","type":"journal-article","created":{"date-parts":[[2017,8,25]],"date-time":"2017-08-25T13:32:07Z","timestamp":1503667927000},"page":"1715-1721","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":3,"title":["New concepts of coloring in vague graphs with application"],"prefix":"10.1177","volume":"33","author":[{"given":"P.K.","family":"Kishore Kumar","sequence":"first","affiliation":[{"name":"Research Scholar, Bharathiar University, Coimbatore, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"Lavanya","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Bharathi Women\u2019s College, Chennai, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Said","family":"Broumi","sequence":"additional","affiliation":[{"name":"Laboratory of Information processing, Faculty of Science Ben M\u2019Sik, University Hassan II, Sidi Othman, Casablanca, Morocco"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hossein","family":"Rashmanlou","sequence":"additional","affiliation":[{"name":"Young Researchers and Elite Club, Central Tehran Branch, Islamic Azad University, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2017,8,24]]},"reference":[{"key":"e_1_3_1_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2008.02.012"},{"key":"e_1_3_1_3_2","first-page":"77","volume-title":"Fuzzy Sets and their Applications","author":"Rosenfeld A.","year":"1975","unstructured":"RosenfeldA., Fuzzy graphs, In: ZadehL.A., FuK.S. and ShimuraM., Eds. Fuzzy Sets and their Applications, Academic Press, New York, 1975, pp. 77\u201395."},{"key":"e_1_3_1_4_2","unstructured":"EslahchiCh. and OnaghB.N. Vertex strength of fuzzy graph Hindawi Publishing Corporation 2006 Article ID: 43614."},{"key":"e_1_3_1_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0255(94)90116-3"},{"key":"e_1_3_1_6_2","first-page":"6950","article-title":"Application of fuzzy graph coloring in traffic light problem","volume":"5","author":"Jaiswal R.","year":"2016","unstructured":"JaiswalR. and RaiS., Application of fuzzy graph coloring in traffic light problem, International Journal of Innovative Research in Science, Engineering and Technology 5 (2016), 6950\u20136955. Article ID: 15680.","journal-title":"International Journal of Innovative Research in Science, Engineering and Technology"},{"issue":"1","key":"e_1_3_1_7_2","first-page":"37","article-title":"Fuzzy total coloring of fuzzy graphs","volume":"2","author":"Lavanya S.","year":"1998","unstructured":"LavanyaS. and SattanathanR., Fuzzy total coloring of fuzzy graphs, International Journal of Information Technology and Knowledge Management 2(1) (1998), 37\u201339.","journal-title":"International Journal of Information Technology and Knowledge Management"},{"key":"e_1_3_1_8_2","first-page":"1","article-title":"Certain types of vague graphs","volume":"2","author":"Akram M.","year":"2013","unstructured":"AkramM., FengF., SarwarS. and JunY.B., Certain types of vague graphs, Scientific Bulletin, Series A- Applied Mathematics and Physics 2 (2013), 1\u201315.","journal-title":"Scientific Bulletin, Series A- Applied Mathematics and Physics"},{"key":"e_1_3_1_9_2","first-page":"430","article-title":"Robinson and T. Lenin, Applications of transforming vague sets into fuzzy sets for knowledge management","volume":"2","author":"Solairaju A.","year":"2013","unstructured":"SolairajuA. and JohnP., Robinson and T. Lenin, Applications of transforming vague sets into fuzzy sets for knowledge management, International Journal of Computing Algorithm 2 (2013), 430\u2013439.","journal-title":"International Journal of Computing Algorithm"},{"key":"e_1_3_1_10_2","volume-title":"International Journal of Machine Learning and Cybernetics","author":"Borzooei R.A.","year":"2015","unstructured":"BorzooeiR.A. and RashmanlouH., New concepts on Vague graphs, International Journal of Machine Learning and Cybernetics (2015), Article ID: 1007."},{"issue":"3","key":"e_1_3_1_11_2","first-page":"575","article-title":"Isomorphism on vague graphs","volume":"6","author":"Talebi A.A.","unstructured":"TalebiA.A., RashmanlouH. and MehdipoorN., Isomorphism on vague graphs, Annals of Fuzzy Mathematics and Informatics 6(3), 575\u2013588.","journal-title":"Annals of Fuzzy Mathematics and Informatics"},{"key":"e_1_3_1_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.psra.2015.12.001"},{"key":"e_1_3_1_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.psra.2016.06.004"},{"key":"e_1_3_1_14_2","doi-asserted-by":"publisher","DOI":"10.1504\/IJCSM.2016.077854"},{"key":"e_1_3_1_15_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-16433"},{"key":"e_1_3_1_16_2","doi-asserted-by":"publisher","DOI":"10.1186\/s40064-016-3783-z"},{"key":"e_1_3_1_17_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-162113"},{"key":"e_1_3_1_18_2","article-title":"Properties of interval valued intuitionistic (S-T) fuzzy graphs","author":"Rashmanlou H.","unstructured":"RashmanlouH., SamantaS., PalM. and BorzooeiR.A., Properties of interval valued intuitionistic (S-T) fuzzy graphs, Pacific Science Review. doi: 10.1016\/j.psra.2016.06.003","journal-title":"Pacific Science Review"},{"key":"e_1_3_1_19_2","article-title":"A study on vague graphs","author":"Rashmanlou H.","unstructured":"RashmanlouH., SamantaS., PalM. and BorzooeiR.A., A study on vague graphs, Springer Plus. DOI: 10.1186\/s40064-016-2892-z","journal-title":"Springer Plus"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-17489","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/JIFS-17489","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-17489","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:40:18Z","timestamp":1777455618000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/JIFS-17489"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,8,24]]},"references-count":18,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2017,8,24]]}},"alternative-id":["10.3233\/JIFS-17489"],"URL":"https:\/\/doi.org\/10.3233\/jifs-17489","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,8,24]]}}}