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This fuzzy order relation is defined as the level of the fuzzy-interval space by the Kulisch\u2013Miranker order relation. There are also some new exceptional instances mentioned. The theory proposed in this research is shown with practical examples that demonstrate its usefulness. This paper's approaches and methodologies might serve as a springboard for future study in this field.<\/jats:p>","DOI":"10.1007\/s44196-022-00127-z","type":"journal-article","created":{"date-parts":[[2022,8,17]],"date-time":"2022-08-17T04:02:45Z","timestamp":1660708965000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["The New Versions of Hermite\u2013Hadamard Inequalities for Pre-invex Fuzzy-Interval-Valued Mappings via Fuzzy Riemann Integrals"],"prefix":"10.1007","volume":"15","author":[{"given":"Muhammad Bilal","family":"Khan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Muhammad Aslam","family":"Noor","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hatim Ghazi","family":"Zaini","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6609-5493","authenticated-orcid":false,"given":"Gustavo","family":"Santos-Garc\u00eda","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohamed S.","family":"Soliman","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,8,17]]},"reference":[{"issue":"9","key":"127_CR1","doi-asserted-by":"publisher","first-page":"1071","DOI":"10.1016\/j.aml.2010.04.038","volume":"23","author":"M Alomari","year":"2010","unstructured":"Alomari, M., Darus, M., Dragomir, S.S., Cerone, P.: Ostrowski type inequalities for functions whose derivatives are s-convex in the second sense. 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