{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,3]],"date-time":"2025-09-03T10:38:25Z","timestamp":1756895905647},"reference-count":3,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2000,2]]},"abstract":"<jats:p> Let A be the automorphism group of the unit interval with its usual order relation, and let \u211d<jats:sup>+<\/jats:sup> be the embedding of the multiplicative group of positive real numbers into A given by exponentiation. Strict t-norms are in one-to-one correspondence with the right cosets of \u211d<jats:sup>+<\/jats:sup> in A. Here, we identify the normalizer of \u211d<jats:sup>+<\/jats:sup> in A and give explicit formulas for the corresponding set of t-norms. <\/jats:p>","DOI":"10.1142\/s0218488500000022","type":"journal-article","created":{"date-parts":[[2003,4,22]],"date-time":"2003-04-22T11:43:29Z","timestamp":1051011809000},"page":"1-6","source":"Crossref","is-referenced-by-count":4,"title":["SOME GROUP THEORETIC ASPECTS OF <font>t<\/font>-NORMS"],"prefix":"10.1142","volume":"08","author":[{"given":"FRED","family":"RICHMAN","sequence":"first","affiliation":[{"name":"Florida Atlantic University, Boca Raton, FL 33431, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ELBERT","family":"WALKER","sequence":"additional","affiliation":[{"name":"New Mexico State University, Las Cruces NM 88003, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1098-111X(199610)11:10<733::AID-INT2>3.0.CO;2-#"},{"key":"p_2","first-page":"182","volume":"12","author":"Ling C. H.","year":"1963","journal-title":"Publ. Math. Debrecen"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1007\/BF02189626"}],"container-title":["International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218488500000022","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T03:03:11Z","timestamp":1565146991000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218488500000022"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,2]]},"references-count":3,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2000,2]]}},"alternative-id":["10.1142\/S0218488500000022"],"URL":"https:\/\/doi.org\/10.1142\/s0218488500000022","relation":{},"ISSN":["0218-4885","1793-6411"],"issn-type":[{"value":"0218-4885","type":"print"},{"value":"1793-6411","type":"electronic"}],"subject":[],"published":{"date-parts":[[2000,2]]}}}