{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:36:34Z","timestamp":1777703794313,"version":"3.51.4"},"reference-count":19,"publisher":"SAGE Publications","issue":"1","license":[{"start":{"date-parts":[[2018,7,6]],"date-time":"2018-07-06T00:00:00Z","timestamp":1530835200000},"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":[[2018,7,27]]},"abstract":"<jats:p>\n                    In the paper, we introduce some stabilizers and investigate related properties of them in MTL-algebras. Then, we also characterize some special classes of MTL-algebras, for example, IMTL-algebras, integral MTL-algebras, G\u00f6del algebras and MV-algebras, in terms of these stabilizers. Moreover, we discuss the relation between stabilizers and several special filters (ideals) in MTL-algebras. Finally, we discuss the relation between these stabilizers and prove that the right implicative stabilizer and right multiplicative stabilizer are order isomorphic. This results also give answers to some open problems, which were proposed by Motamed and Torkzadeh in [Soft Comput,\n                    <jats:bold>21<\/jats:bold>\n                    (2017) 686-693].\n                  <\/jats:p>","DOI":"10.3233\/jifs-171105","type":"journal-article","created":{"date-parts":[[2018,7,6]],"date-time":"2018-07-06T12:10:22Z","timestamp":1530879022000},"page":"717-727","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":5,"title":["Stabilizers in MTL-algebras"],"prefix":"10.1177","volume":"35","author":[{"given":"Jun Tao","family":"Wang","sequence":"first","affiliation":[{"name":"School of Science, Xi\u2019an Shiyou University, Xi\u2019an, Shaanxi, China"},{"name":"School of Mathematics, Northwest University, Xi\u2019an, P.R. China"}]},{"given":"Peng Fei","family":"He","sequence":"additional","affiliation":[{"name":"School of Mathematics and Information Science, Shaanxi Normal University, Xi\u2019an, P.R. China"}]},{"given":"Arsham","family":"Borumand Saeid","sequence":"additional","affiliation":[{"name":"Mahani Mathematical research center, Shahid Bahonar University of Kerman, Kerman, Iran"},{"name":"Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran"}]}],"member":"179","published-online":{"date-parts":[[2018,7,6]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.17485\/ijst\/2012\/v5i1.29"},{"key":"e_1_3_2_3_2","doi-asserted-by":"crossref","first-page":"92","DOI":"10.1016\/j.fss.2011.09.001","article-title":"Some type of filters in MTLalgebras","volume":"187","author":"Borzooei R.A.","year":"2012","unstructured":"BorzooeiR.A., ShoarS.K. and AmeriR., Some type of filters in MTLalgebras, Fuzzy Sets Syst 187 (2012), 92\u2013102.","journal-title":"Fuzzy Sets Syst"},{"key":"e_1_3_2_4_2","doi-asserted-by":"crossref","first-page":"467","DOI":"10.1090\/S0002-9947-1958-0094302-9","article-title":"Algebraic analysis of many-valued logic","volume":"88","author":"Chang C.C.","year":"1958","unstructured":"ChangC.C., Algebraic analysis of many-valued logic, Trans Am Math Soc 88 (1958), 467\u2013490.","journal-title":"Trans Am Math Soc"},{"key":"e_1_3_2_5_2","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1016\/S0165-0114(01)00098-7","article-title":"Monoidal t-norm based logic: Towards a logic for left continuous t-norms","volume":"124","author":"Esteva F.","year":"2001","unstructured":"EstevaF. and GodoL., Monoidal t-norm based logic: Towards a logic for left continuous t-norms, Fuzzy Sets Syst 124 (2001), 271\u2013288.","journal-title":"Fuzzy Sets Syst"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-141122"},{"key":"e_1_3_2_7_2","volume-title":"Lattice Theory","author":"Gr\u00e4tzer G.","year":"1979","unstructured":"Gr\u00e4tzerG., Lattice Theory, W. 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