{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T17:50:42Z","timestamp":1773683442225,"version":"3.50.1"},"reference-count":23,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[2001,10,1]],"date-time":"2001-10-01T00:00:00Z","timestamp":1001894400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Fuzzy Sets and Systems"],"published-print":{"date-parts":[[2001,10]]},"DOI":"10.1016\/s0165-0114(00)00107-x","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T17:19:02Z","timestamp":1027617542000},"page":"81-84","source":"Crossref","is-referenced-by-count":44,"title":["Shape preserving multiplications of fuzzy numbers"],"prefix":"10.1016","volume":"123","author":[{"given":"Dug Hun","family":"Hong","sequence":"first","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0165-0114(00)00107-X_BIB1","series-title":"Fuzzy Sets and Systems: Theory and Applications","author":"Dubois","year":"1980"},{"key":"10.1016\/S0165-0114(00)00107-X_BIB2","doi-asserted-by":"crossref","first-page":"926","DOI":"10.1109\/TAC.1981.1102744","article-title":"Additions of interactive fuzzy numbers","volume":"26","author":"Dubois","year":"1981","journal-title":"IEEE Trans. Automat. Control"},{"key":"10.1016\/S0165-0114(00)00107-X_BIB3","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/0165-0114(92)90188-A","article-title":"t-Norm-based addition of fuzzy intervals","volume":"51","author":"Full\u00e9r","year":"1992","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(00)00107-X_BIB4","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1016\/0165-0114(92)90017-X","article-title":"On computation of the compositional rule of inference under triangular norms","volume":"51","author":"Full\u00e9r","year":"1992","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(00)00107-X_BIB5","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1016\/0165-0114(95)00333-9","article-title":"The convergence of T-product of fuzzy numbers","volume":"85","author":"Hong","year":"1997","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(00)00107-X_BIB6","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1016\/0165-0114(94)00329-6","article-title":"A note on t-norm-based addition of fuzzy intervals","volume":"75","author":"Hong","year":"1995","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(00)00107-X_BIB7","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1016\/S0165-0114(96)00125-X","article-title":"Fuzzy system reliability analysis by the use of TW (the weakest t-norm) on fuzzy number a arithmetic operations","volume":"90","author":"Hong","year":"1997","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(00)00107-X_BIB8","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1016\/S0165-0114(97)00144-9","article-title":"A T-sum bound of LR-fuzzy numbers","volume":"91","author":"Hong","year":"1997","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(00)00107-X_BIB9","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1016\/S0165-0114(96)00233-3","article-title":"A note to the sum of fuzzy variables","volume":"93","author":"Hong","year":"1998","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(00)00107-X_BIB10","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1016\/0165-0114(94)90299-2","article-title":"On the compositional rule of inference under triangular norms","volume":"66","author":"Hong","year":"1994","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(00)00107-X_BIB11","first-page":"65","article-title":"g, p-fuzzification of arithmetic operations","volume":"1","author":"Keresztfalvi","year":"1992","journal-title":"Tatra Mountains Math. Publ."},{"key":"10.1016\/S0165-0114(00)00107-X_BIB12","first-page":"4","article-title":"On t-norm-based multiplication of positive fuzzy intervals","volume":"76","author":"Koles\u00e1rov\u00e1","year":"1998","journal-title":"BUSEFAL"},{"key":"10.1016\/S0165-0114(00)00107-X_BIB13","first-page":"75","article-title":"Triangular norm-based addition of linear fuzzy numbers","volume":"6","author":"Koles\u00e1rov\u00e1","year":"1995","journal-title":"Tatra Mountains Math. Publ."},{"key":"10.1016\/S0165-0114(00)00107-X_BIB14","first-page":"131","article-title":"A learning algorithm of fuzzy neural networks using a shape preserving operation","volume":"3","author":"Lee","year":"1998","journal-title":"J. Electrical Eng. Inform. Sci."},{"key":"10.1016\/S0165-0114(00)00107-X_BIB15","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1016\/0165-0114(95)00370-3","article-title":"T-sum of L-R-fuzzy numbers","volume":"85","author":"Markov\u00e1","year":"1996","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(00)00107-X_BIB16","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1016\/S0165-0114(97)00145-0","article-title":"A note to the addition of fuzzy numbers based on a continuous Archimedean T-norm","volume":"91","author":"Markov\u00e1","year":"1997","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(00)00107-X_BIB17","unstructured":"R. Mesiar, LR-fuzzy numbers, Proc. IPMU\u201996, Granada, 1996, 337\u2013342."},{"key":"10.1016\/S0165-0114(00)00107-X_BIB18","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/0165-0114(95)00178-6","article-title":"A note on the T-sum of LR fuzzy numbers","volume":"79","author":"Mesiar","year":"1996","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(00)00107-X_BIB19","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1016\/0165-0114(95)00401-7","article-title":"Shape preserving additions of fuzzy intervals","volume":"86","author":"Mesiar","year":"1997","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(00)00107-X_BIB20","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1016\/0022-247X(78)90045-8","article-title":"A note on the extension principle for fuzzy sets","volume":"64","author":"Nguyen","year":"1978","journal-title":"J. Math. Anal. Appl."},{"key":"10.1016\/S0165-0114(00)00107-X_BIB21","series-title":"Probabilistic Metric Spaces","author":"Schweizer","year":"1983"},{"key":"10.1016\/S0165-0114(00)00107-X_BIB22","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1016\/0165-0114(80)90013-5","article-title":"On a general class of fuzzy connectives","volume":"4","author":"Yager","year":"1980","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(00)00107-X_BIB23","doi-asserted-by":"crossref","unstructured":"L.A. Zadeh, The concept of a linguistic variable and its applications to approximate reasoning, Parts, I, II, III, Inform. Sci. 8 (1975) 199\u2013251, 301\u2013357, 9 (1975) 43\u201380.","DOI":"10.1016\/0020-0255(75)90017-1"}],"container-title":["Fuzzy Sets and Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S016501140000107X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S016501140000107X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,25]],"date-time":"2019-04-25T02:56:09Z","timestamp":1556160969000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S016501140000107X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,10]]},"references-count":23,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2001,10]]}},"alternative-id":["S016501140000107X"],"URL":"https:\/\/doi.org\/10.1016\/s0165-0114(00)00107-x","relation":{},"ISSN":["0165-0114"],"issn-type":[{"value":"0165-0114","type":"print"}],"subject":[],"published":{"date-parts":[[2001,10]]}}}