{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:35:55Z","timestamp":1777703755420,"version":"3.51.4"},"reference-count":29,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2015,11,16]],"date-time":"2015-11-16T00:00:00Z","timestamp":1447632000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2016,3]]},"abstract":"<jats:p>\n                    In this paper, the interval-valued triple I algorithms based on two inference models, i.e. fuzzy modus ponens and fuzzy modus tollens, are extended to the (1,2,1)-type universal triple I algorithms. The corresponding (1,2,1)-type universal triple I solutions are given. Moreover, the robustness of interval-valued (1,2,1)-type universal triple I algorithms are studied. As the corollaries of the main results, the sensitivity of [\n                    <jats:italic>\u03b1<\/jats:italic>\n                    ,\n                    <jats:italic>\u03b2<\/jats:italic>\n                    ]-(1,2,1)-type universal triple I solutions based on interval-valued Lukasiewicz implication and\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                      <mml:msub>\n                        <mml:mi mathvariant=\"script\">R<\/mml:mi>\n                        <mml:mn>0<\/mml:mn>\n                      <\/mml:msub>\n                    <\/mml:math>\n                    implication are given. In particularly, the sensitivity of\n                    <jats:italic>\u03b1<\/jats:italic>\n                    -(1,2,1)-type universal triple I methods based on classical sets are given.\n                  <\/jats:p>","DOI":"10.3233\/ifs-151870","type":"journal-article","created":{"date-parts":[[2016,3,1]],"date-time":"2016-03-01T10:46:56Z","timestamp":1456829216000},"page":"1619-1628","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["Robustness of interval-valued universal triple I algorithms"],"prefix":"10.1177","volume":"30","author":[{"given":"Minxia","family":"Luo","sequence":"first","affiliation":[{"name":"Department of Mathematics, China Jiliang University, Hangzhou, PR China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ze","family":"Cheng","sequence":"additional","affiliation":[{"name":"Department of Mathematics, China Jiliang University, Hangzhou, PR 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