{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,29]],"date-time":"2026-01-29T19:53:48Z","timestamp":1769716428511,"version":"3.49.0"},"reference-count":30,"publisher":"SAGE Publications","issue":"5","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2023,11,4]]},"abstract":"<jats:p>Graph theory plays a crucial role in the era of computer science, medical science and information technology. The fundamental motivation behind this paper is to present some availability ideas in the m polar interval-valued fuzzy graph (m-PIVFG), which are utilized to portray the interval of the uncertainty of items. What\u2019s more, the m-PIVFG graphs are utilized to portray the underlying connection between ideas in which the vertices and edges are of multi-poles and in the form of interval values to feature the uncertainty conditions. The dominating set involves a basic situation in graph analysis. This paper essentially adds to expanding the idea of double domination in the fuzzy graph to the m-PIVFG and getting the related extended ideas of m-PIVFG. In the interim, the ways to get the particular double dominating sets are introduced. At long last, a numeral model on ambulance service on some villages information in India is introduced to clarify the necessity of double domination in m-PIVFG in the particular application.<\/jats:p>","DOI":"10.3233\/jifs-223054","type":"journal-article","created":{"date-parts":[[2023,8,22]],"date-time":"2023-08-22T10:07:50Z","timestamp":1692698870000},"page":"7713-7726","source":"Crossref","is-referenced-by-count":4,"title":["Facility location problem using the concept of double domination in m-polar interval-valued fuzzy graph"],"prefix":"10.1177","volume":"45","author":[{"given":"Sanchari","family":"Bera","sequence":"first","affiliation":[{"name":"Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India"}]},{"given":"Ghulam","family":"Muhiuddin","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science University of Tabuk, Tabuk, Saudi Arabia"}]},{"given":"Madhumangal","family":"Pal","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India"}]}],"member":"179","reference":[{"issue":"2","key":"10.3233\/JIFS-223054_ref1","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1016\/j.camwa.2010.11.004","article-title":"Interval-valued fuzzy graphs","volume":"61","author":"Akram","year":"2011","journal-title":"Computers & Mathematics with Applications"},{"key":"10.3233\/JIFS-223054_ref2","unstructured":"Akram M. , Waseem N. and Davvaz B. , Certain Types of Domination inm\u2013 polar Fuzzy Graphs, Journal of Multiple-Valued Logicand Soft Computing 29(6) (2017)."},{"key":"10.3233\/JIFS-223054_ref3","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-021-06405-9"},{"issue":"02","key":"10.3233\/JIFS-223054_ref4","first-page":"1","article-title":"On m-polar interval-valued fuzzy graph and itsapplication","volume":"12","author":"Bera","year":"2021","journal-title":"Fuzzy Information and Engineering"},{"key":"10.3233\/JIFS-223054_ref5","unstructured":"Berge, C , Graphs and hypergraphs. 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