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The formalization and the justification of the so\u2010built analytical expressions are then detailed where mathematical mappings are proposed. The potential use of these operators in the framework of uncertain aggregation operators and ranking fuzzy intervals is shown with illustrative examples.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Findings<\/jats:title><jats:p>It is discovered that the<jats:italic>MIN<\/jats:italic>and<jats:italic>MAX<\/jats:italic>operations for fuzzy intervals can be formulated by a general analytical form.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Practical implications<\/jats:title><jats:p>The proposed methodology can be directly applied for ranking fuzzy intervals and implementing a large class of uncertain aggregation operators, especially for two\u2010additive Choquet integral.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Originality\/value<\/jats:title><jats:p>The originality of the proposed technique resides in exploiting the interval relations between supports and kernels to express a general and compact analytical<jats:italic>MIN<\/jats:italic>and<jats:italic>MAX<\/jats:italic>expressions for fuzzy intervals.<\/jats:p><\/jats:sec>","DOI":"10.1108\/17563781011028541","type":"journal-article","created":{"date-parts":[[2010,3,27]],"date-time":"2010-03-27T08:08:08Z","timestamp":1269677288000},"page":"55-72","source":"Crossref","is-referenced-by-count":3,"title":["<i>MIN<\/i>and<i>MAX<\/i>operators for trapezoidal fuzzy intervals"],"prefix":"10.1108","volume":"3","author":[{"given":"Faycal","family":"Megri","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Reda","family":"Boukezzoula","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"140","reference":[{"key":"key2022032020400778600_b1","doi-asserted-by":"crossref","unstructured":"Blohlavek, R. 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