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Then we show that IV<jats:italic>m<\/jats:italic>PF <jats:italic>p<\/jats:italic>(<jats:italic>q<\/jats:italic> and <jats:italic>a<\/jats:italic>)-ideals are IV<jats:italic>m<\/jats:italic>PF ideals but the converse statements are not valid and an example is given in each case. We provide conditions under which an IV<jats:italic>m<\/jats:italic>PF ideal becomes an IV<jats:italic>m<\/jats:italic>PF <jats:italic>p<\/jats:italic>(<jats:italic>q<\/jats:italic> and <jats:italic>a<\/jats:italic>)-ideal. Further, the associated properties of IV<jats:italic>m<\/jats:italic>PF <jats:italic>p<\/jats:italic>-ideals, IV<jats:italic>m<\/jats:italic>PF <jats:italic>q<\/jats:italic>-ideals and IV<jats:italic>m<\/jats:italic>PF <jats:italic>a<\/jats:italic>-ideals are considered. Moreover, we characterize IV<jats:italic>m<\/jats:italic>PF <jats:italic>p<\/jats:italic>(<jats:italic>q<\/jats:italic> and <jats:italic>a<\/jats:italic>)-ideals in terms of fuzzy <jats:italic>p<\/jats:italic>(<jats:italic>q<\/jats:italic> and <jats:italic>a<\/jats:italic>)-ideals of BCI-algebras. Also, correspondences among IV<jats:italic>m<\/jats:italic>PF <jats:italic>p<\/jats:italic>(<jats:italic>q<\/jats:italic> and <jats:italic>a<\/jats:italic>)-ideals of BCI-algebras and <jats:italic>p<\/jats:italic>(<jats:italic>q<\/jats:italic> and <jats:italic>a<\/jats:italic>)-ideals of BCI-algebras are investigated.<\/jats:p>","DOI":"10.1007\/s44196-021-00006-z","type":"journal-article","created":{"date-parts":[[2021,12,13]],"date-time":"2021-12-13T13:03:36Z","timestamp":1639400616000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Generalized Fuzzy Ideals of BCI-Algebras Based on Interval Valued m-Polar Fuzzy Structures"],"prefix":"10.1007","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5596-5841","authenticated-orcid":false,"given":"G.","family":"Muhiuddin","sequence":"first","affiliation":[]},{"given":"D.","family":"Al-Kadi","sequence":"additional","affiliation":[]},{"given":"A.","family":"Mahboob","sequence":"additional","affiliation":[]},{"given":"Amani","family":"Aljohani","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,9,28]]},"reference":[{"key":"6_CR1","doi-asserted-by":"publisher","first-page":"1597","DOI":"10.1080\/09720529.2015.1117221","volume":"20","author":"M Akram","year":"2017","unstructured":"Akram, M., Adeel, A.: $$m$$-polar fuzzy graphs and $$m$$-polar fuzzy line graphs. 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