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The desired fuzzy sets will be generated in the sense that its \u03b1-level sets will be identical to the sets of the original family. In order to achieve this purpose, any arbitrary families will be rearranged as the nested families by applying some suitable functions to the original families that are formulated from the collected data.<\/jats:p>","DOI":"10.3233\/jifs-210201","type":"journal-article","created":{"date-parts":[[2021,8,10]],"date-time":"2021-08-10T14:31:59Z","timestamp":1628605919000},"page":"3061-3082","source":"Crossref","is-referenced-by-count":2,"title":["Generating fuzzy sets from the families of sets"],"prefix":"10.1177","volume":"41","author":[{"given":"Hsien-Chung","family":"Wu","sequence":"first","affiliation":[{"name":"Department of Mathematics, National Kaohsiung Normal University, Kaohsiung, Taiwan"}]}],"member":"179","reference":[{"key":"10.3233\/JIFS-210201_ref1","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1016\/j.ijar.2006.04.005","article-title":"On the Calculation of the Bounds of Probability of Events Using Infinite Random 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