{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T02:36:37Z","timestamp":1777430197873,"version":"3.51.4"},"reference-count":15,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2013,4]]},"abstract":"<jats:p> We define some operations over Atanassov's intuitionistic fuzzy sets (AIFSs), such as Einstein intersection, Einstein product, Einstein scalar multiplication and Einstein exponentiation, etc., and then define new concentration and dilation of AIFSs. These definitions will be useful while dealing with various linguistic hedges like \u201cvery\u201d, \u201cmore or less\u201d, \u201chighly\u201d, \u201cvery very\u201d etc., involved in the problems under intuitionistic fuzzy environment. We also prove some propositions and present some examples in this context. <\/jats:p>","DOI":"10.1142\/s0218488513500141","type":"journal-article","created":{"date-parts":[[2013,4,12]],"date-time":"2013-04-12T08:17:53Z","timestamp":1365754673000},"page":"263-276","source":"Crossref","is-referenced-by-count":16,"title":["SOME OPERATIONS OVER ATANASSOV'S INTUITIONISTIC FUZZY SETS BASED ON EINSTEIN T-NORM AND T-CONORM"],"prefix":"10.1142","volume":"21","author":[{"given":"WEIZE","family":"WANG","sequence":"first","affiliation":[{"name":"School of Economics and Management, Southeast University, Nanjing, 211189, P.R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"XINWANG","family":"LIU","sequence":"additional","affiliation":[{"name":"School of Economics and Management, Southeast University, Nanjing, 211189, P.R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2013,4,12]]},"reference":[{"key":"p_1","first-page":"87","volume":"20","author":"Atanassov K. T.","year":"1986","journal-title":"Systems"},{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"p_5","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2009.03.001"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2008.06.008"},{"key":"p_8","first-page":"137","volume":"61","author":"Atanassov K. T.","year":"1994","journal-title":"Systems"},{"key":"p_9","first-page":"257","volume":"79","author":"Atanassov K. T.","year":"1996","journal-title":"Systems"},{"key":"p_10","first-page":"401","volume":"75","author":"Atanassov K. T.","year":"1995","journal-title":"Systems"},{"key":"p_11","first-page":"267","volume":"110","author":"Atanassov K. T.","year":"2000","journal-title":"Systems"},{"key":"p_12","first-page":"477","volume":"114","author":"De S. K.","year":"2000","journal-title":"Systems"},{"key":"p_13","first-page":"229","volume":"153","author":"Deschrijver G.","year":"2005","journal-title":"Systems"},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2007.02.003"},{"key":"p_15","first-page":"227","volume":"133","author":"Deschrijver G.","year":"2003","journal-title":"Systems"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2006.11.005"},{"key":"p_17","first-page":"19","volume":"8","author":"Deschrijver G.","year":"2002","journal-title":"Intuitionistic Fuzzy Sets"},{"key":"p_18","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2010.11.024"}],"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\/S0218488513500141","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T12:37:51Z","timestamp":1565095071000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218488513500141"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,4]]},"references-count":15,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2013,4,12]]},"published-print":{"date-parts":[[2013,4]]}},"alternative-id":["10.1142\/S0218488513500141"],"URL":"https:\/\/doi.org\/10.1142\/s0218488513500141","relation":{},"ISSN":["0218-4885","1793-6411"],"issn-type":[{"value":"0218-4885","type":"print"},{"value":"1793-6411","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,4]]}}}