{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:32:40Z","timestamp":1777703560424,"version":"3.51.4"},"reference-count":23,"publisher":"SAGE Publications","issue":"2","license":[{"start":{"date-parts":[[2019,7,10]],"date-time":"2019-07-10T00:00:00Z","timestamp":1562716800000},"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":[[2019,9,9]]},"abstract":"<jats:p>The concept of pseudo MV-valuations is proposed in the paper, and some related characterizations of pseudo MV-valuations are investigated. The relationships between the pseudo MV-valuations of homomorphic and isomorphic MV-algebras and the relationships between their kernels are presented. We investigate several properties of pseudo MV-metrics induced by pseudo MV-valuations, and obtain that the product of two pseudo MV-metric spaces is a pseudo MV-metric space. Based on the introduced notion of pseudo continuous functions, we get that if a pseudo MV-valuation is contractive, then the binary operations on MV-algebras are pseudo continuous functions. Finally, we construct a congruence relation by using a pseudo MV-valuation, and study some properties of pseudo MV-valuations on quotient MV-algebras.<\/jats:p>","DOI":"10.3233\/jifs-182844","type":"journal-article","created":{"date-parts":[[2019,7,12]],"date-time":"2019-07-12T14:01:05Z","timestamp":1562940065000},"page":"2621-2636","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["MV-algebras with pseudo MV-valuations"],"prefix":"10.1177","volume":"37","author":[{"given":"Yongwei","family":"Yang","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Anyang Normal University, Anyang, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kuanyun","family":"Zhu","sequence":"additional","affiliation":[{"name":"School of Information and Mathematics, Yangtze University, Jingzhou, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2019,7,10]]},"reference":[{"issue":"2","key":"e_1_3_2_2_2","first-page":"285","article-title":"Hilbert algebras with valuation","volume":"44","author":"Bu\u015fneag D.","year":"1996","unstructured":"Bu\u015fneagD., Hilbert algebras with valuation, Mathematica Japonica 44(2) (1996), 285\u2013289.","journal-title":"Mathematica Japonica"},{"key":"e_1_3_2_3_2","first-page":"21","article-title":"Valuations on residuated lattices","volume":"34","author":"Bu\u015fneag D.","year":"2007","unstructured":"Bu\u015fneagD., Valuations on residuated lattices, Annals of the University of Craiova-Mathematics and Computer Science Series 34 (2007), 21\u201328.","journal-title":"Annals of the University of Craiova-Mathematics and Computer Science Series"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1958-0094302-9"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.2478\/s12175-007-0024-5"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-018-3069-1"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-017-2854-6"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2018.08.011"},{"key":"e_1_3_2_9_2","article-title":"New trends in quantum structures","author":"Dvurecenskij A.","year":"2013","unstructured":"DvurecenskijA. and Pulmannov\u00e1S., New trends in quantum structures, Springer Science & Business Media, 2013.","journal-title":"Springer Science & Business Media"},{"key":"e_1_3_2_10_2","first-page":"95","article-title":"Pseudo-MV algebras","volume":"6","author":"Georgescu G.","year":"2001","unstructured":"GeorgescuG. and IorgulescuA., Pseudo-MV algebras, Multiple Valued Logic 6 (2001), 95\u2013135.","journal-title":"Multiple Valued Logic"},{"issue":"2","key":"e_1_3_2_11_2","first-page":"13","article-title":"Quotient BCI-algebras induced by pseudovaluations","volume":"5","author":"Ghorbani S.","year":"2010","unstructured":"GhorbaniS., Quotient BCI-algebras induced by pseudovaluations, Iranian Journal of Mathematical Sciences and Informatics 5(2) (2010), 13\u201324.","journal-title":"Iranian Journal of Mathematical Sciences and Informatics"},{"key":"e_1_3_2_12_2","doi-asserted-by":"crossref","unstructured":"H\u00e1jekP. Metamathematics of fuzzy logic Kluwer Dordrecht 1998.","DOI":"10.1007\/978-94-011-5300-3"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(94)90099-X"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.2298\/FIL1202243J"},{"key":"e_1_3_2_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2012.09.014"},{"key":"e_1_3_2_16_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01053035"},{"key":"e_1_3_2_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2016.04.012"},{"key":"e_1_3_2_18_2","unstructured":"RutledgeJ.D. A preliminary investigation of the infinitelymany-valued predicate calculus. Cornell University 1959."},{"key":"e_1_3_2_19_2","doi-asserted-by":"publisher","DOI":"10.1023\/A:1021766309509"},{"key":"e_1_3_2_20_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-017-2788-z"},{"key":"e_1_3_2_21_2","doi-asserted-by":"publisher","DOI":"10.1155\/2014\/951796"},{"key":"e_1_3_2_22_2","first-page":"29","article-title":"EQ-algebras with pseudo pre-valuations","volume":"37","author":"Yang Y.","year":"2017","unstructured":"YangY. and XinX., EQ-algebras with pseudo pre-valuations, Italian Journal of Pure & Applied Mathematics 37 (2017), 29\u201348.","journal-title":"Italian Journal of Pure & Applied Mathematics"},{"key":"e_1_3_2_23_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-17777"},{"issue":"4","key":"e_1_3_2_24_2","first-page":"101","article-title":"(Implicative) pseudo-valuations on R0-algebras","volume":"75","author":"Zhan J.","year":"2013","unstructured":"ZhanJ. and JunY.B., (Implicative) pseudo-valuations on R0-algebras, University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics 75(4) (2013), 101\u2013112.","journal-title":"University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-182844","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/JIFS-182844","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-182844","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:39:00Z","timestamp":1777455540000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/JIFS-182844"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,7,10]]},"references-count":23,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2019,9,9]]}},"alternative-id":["10.3233\/JIFS-182844"],"URL":"https:\/\/doi.org\/10.3233\/jifs-182844","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,7,10]]}}}