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In the second section of the work, we offer a series of averaging and geometric aggregation operators under CN-LDFS that are based on defined operating laws. In the final section of the work, under complex Non-linear Diophantine fuzzy information, the ranking algorithms based on suggested aggregation operators are present to address the case study regarding emergency situation of earthquakes. In comparison section, results of existing and proposed operators explore the effectiveness of proposed methodologies and provide accurate emergency measures to address the global uncertainty about the construction of emergency shelters in earthquakes.<\/jats:p>","DOI":"10.1007\/s40747-023-01122-3","type":"journal-article","created":{"date-parts":[[2023,7,12]],"date-time":"2023-07-12T07:02:05Z","timestamp":1689145325000},"page":"7227-7248","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Emergency shelter materials under a complex non-linear diophantine fuzzy decision support system"],"prefix":"10.1007","volume":"9","author":[{"given":"Maria","family":"Shams","sequence":"first","affiliation":[]},{"given":"Alaa O.","family":"Almagrabi","sequence":"additional","affiliation":[]},{"given":"Saleem","family":"Abdullah","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,7,12]]},"reference":[{"issue":"1","key":"1122_CR1","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1111\/j.0361-3666.2004.00243.x","volume":"28","author":"JY Wu","year":"2004","unstructured":"Wu JY, Lindell MK (2004) Housing reconstruction after two major earthquakes: the 1994 Northridge earthquake in the United States and the 1999 Chi-Chi earthquake in Taiwan. 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