{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T04:28:55Z","timestamp":1740112135115,"version":"3.37.3"},"reference-count":9,"publisher":"World Scientific Pub Co Pte Ltd","issue":"04","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61203175"],"award-info":[{"award-number":["61203175"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"crossref","award":["2682013CX068"],"award-info":[{"award-number":["2682013CX068"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"crossref","award":["2682014ZT29"],"award-info":[{"award-number":["2682014ZT29"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"crossref"}]},{"name":"National Social Science Foundation of China","award":["15BGL003"],"award-info":[{"award-number":["15BGL003"]}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"crossref","award":["2682016CX118"],"award-info":[{"award-number":["2682016CX118"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2017,8]]},"abstract":"<jats:p> In this paper, we named the composition by a real-valued measurable function and an uncertain variable as a composite uncertain variable. We focused on the uncertainty distribution for two kinds of composite uncertain variables. The conclusions show: (1) it exists a lower bound when the composed function is continuous and strictly monotonically decreasing at first and then strictly monotonically increasing (e.g. convex downward functions); (2) it exists an upper bound when the composed function is continuous and strictly monotonically increasing at first and then strictly monotonically decreasing (e.g. convex upward functions). <\/jats:p>","DOI":"10.1142\/s0218488517500234","type":"journal-article","created":{"date-parts":[[2017,7,14]],"date-time":"2017-07-14T04:36:10Z","timestamp":1500006970000},"page":"545-555","source":"Crossref","is-referenced-by-count":1,"title":["Uncertainty Distribution of Some Composite Uncertain Variables"],"prefix":"10.1142","volume":"25","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7415-1707","authenticated-orcid":false,"given":"Chongshuang","family":"Chen","sequence":"first","affiliation":[{"name":"Department of Statistics, School of Mathematics, Southwest Jiaotong University, Chengdu, 611756, Sichuan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jiayin","family":"Tang","sequence":"additional","affiliation":[{"name":"Department of Statistics, School of Mathematics, Southwest Jiaotong University, Chengdu, 611756, Sichuan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianbo","family":"Xiao","sequence":"additional","affiliation":[{"name":"Department of Mathematics, School of Mathematics, Southwest Jiaotong University, Chengdu, 611756, Sichuan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lei","family":"Huang","sequence":"additional","affiliation":[{"name":"Department of Statistics, School of Mathematics, Southwest Jiaotong University, Chengdu, 611756, Sichuan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2017,7,14]]},"reference":[{"issue":"1","key":"p_1","first-page":"3","volume":"6","author":"Liu B.","year":"2012","journal-title":"J. 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