{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,21]],"date-time":"2026-05-21T01:52:21Z","timestamp":1779328341710,"version":"3.51.4"},"reference-count":31,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2012,9,19]],"date-time":"2012-09-19T00:00:00Z","timestamp":1348012800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2013,3]]},"DOI":"10.1007\/s00500-012-0913-6","type":"journal-article","created":{"date-parts":[[2012,9,18]],"date-time":"2012-09-18T08:55:41Z","timestamp":1347958541000},"page":"381-390","source":"Crossref","is-referenced-by-count":29,"title":["Fuzzy multiset finite automata and their languages"],"prefix":"10.1007","volume":"17","author":[{"given":"Jinyan","family":"Wang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Minghao","family":"Yin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wenxiang","family":"Gu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2012,9,19]]},"reference":[{"issue":"1","key":"913_CR1","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1305\/ndjfl\/1093634995","volume":"30","author":"WD Blizard","year":"1989","unstructured":"Blizard WD (1989) Multiset theory. Notre Dame J Form Log 30(1):36\u201366","journal-title":"Notre Dame J Form Log"},{"issue":"10\u201311","key":"913_CR2","doi-asserted-by":"crossref","first-page":"1257","DOI":"10.1016\/S0898-1221(01)00096-7","volume":"41","author":"F Blanchet-Sadri","year":"2001","unstructured":"Blanchet-Sadri F, Morgan C (2001) Multiset and set decipherable codes. Comput Math Appl 41(10\u201311):1257\u20131262","journal-title":"Comput Math Appl"},{"key":"913_CR3","doi-asserted-by":"crossref","unstructured":"Calude CS, P\u0103un G, Rozenberg G, Salomaa A (eds) (2001) Multiset processing\u2014mathematical, computer science and molecular computing points of view. Lecture Notes in Computer Science, vol 2235, Springer, Berlin","DOI":"10.1007\/3-540-45523-X"},{"issue":"2\u20133","key":"913_CR4","doi-asserted-by":"crossref","first-page":"136","DOI":"10.1016\/j.tcs.2006.11.022","volume":"372","author":"M Cavaliere","year":"2007","unstructured":"Cavaliere M, Freund R, Oswald M, Sburlan D (2007) Multiset random context grammars, checkers, and transducers. Theor Comput Sci 372(2\u20133):136\u2013151","journal-title":"Theor Comput Sci"},{"key":"913_CR5","doi-asserted-by":"crossref","first-page":"1165","DOI":"10.1016\/j.fss.2007.12.005","volume":"159","author":"J Casanovas","year":"2008","unstructured":"Casanovas J, Mayor G (2008) Discrete t-norms and operations on extended multisets. Fuzzy Sets Syst 159:1165\u20131177","journal-title":"Fuzzy Sets Syst"},{"issue":"2","key":"913_CR6","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1007\/BF02575679","volume":"13","author":"S Crespi-Reghizzi","year":"1976","unstructured":"Crespi-Reghizzi S, Mandrioli D (1976) Commutative grammars. Calcolo 13(2):173\u2013189","journal-title":"Calcolo"},{"key":"913_CR7","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1007\/3-540-45523-X_4","volume-title":"Multiset processing\u2014mathematical, computer science and molecular computing points of view","author":"E Csuhaj-Varj\u00fa","year":"2001","unstructured":"Csuhaj-Varj\u00fa E, Mart\u00edn-Vide C, Mitrana V (2001) Multiset automata. In: Calude CS, P\u0103un G, Rozenberg G, Salomaa A (eds) Multiset processing\u2014mathematical, computer science and molecular computing points of view. Springer, Berlin, pp 69\u201383"},{"issue":"2","key":"913_CR8","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1016\/j.artint.2008.11.001","volume":"173","author":"AM Frisch","year":"2009","unstructured":"Frisch AM, Hnich B, Kiziltan Z, Miguel I, Walsh T (2009) Filtering algorithms for the multiset ordering constraint. Artif Intell 173(2):299\u2013328","journal-title":"Artif Intell"},{"key":"913_CR9","volume-title":"Introduction to automata theory, languages and computation","author":"JE Hopcroft","year":"1979","unstructured":"Hopcroft JE, Ullman JD (1979) Introduction to automata theory, languages and computation. Addison-Wesley, New York"},{"key":"913_CR10","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1007\/3-540-45523-X_7","volume-title":"Multiset processing\u2014mathematical, computer science and molecular computing points of view","author":"M Kudlek","year":"2001","unstructured":"Kudlek M, Mart\u00edn-Vide C, P\u0103un G (2001) Toward a formal macroset theory. In: Calude CS, P\u0103un G, Rozenberg G, Salomaa A (eds) Multiset processing\u2014mathematical, computer science and molecular computing points of view. Springer, Berlin, pp 123\u2013133"},{"key":"913_CR11","doi-asserted-by":"crossref","first-page":"221","DOI":"10.3233\/FI-2009-0098","volume":"93","author":"M Kudlek","year":"2009","unstructured":"Kudlek M, Totzke P, Zetzsche G (2009a) Multiset pushdown Automata. Fundam. Inform 93:221\u2013233","journal-title":"Fundam Inform"},{"key":"913_CR12","first-page":"191","volume":"49","author":"M Kudlek","year":"2002","unstructured":"Kudlek M, Mitrana V (2002) Closure Properties of Multiset Language Families. Fundam Inform 49:191\u2013203","journal-title":"Fundam Inform"},{"key":"913_CR13","doi-asserted-by":"crossref","first-page":"235","DOI":"10.3233\/FI-2009-0099","volume":"93","author":"M Kudlek","year":"2009","unstructured":"Kudlek M, Totzke P, Zetzsche G (2009b) Properties of multiset language classes defined by multiset pushdown automata. Fundam Inform 93:235\u2013244","journal-title":"Fundam Inform"},{"key":"913_CR14","doi-asserted-by":"crossref","first-page":"68","DOI":"10.1016\/j.fss.2005.04.004","volume":"156","author":"YM Li","year":"2005","unstructured":"Li YM, Pedrycz W (2005) Fuzzy finite automata and fuzzy regular expressions with membership values in lattice-ordered monoids. Fuzzy Sets Syst 156:68\u201392","journal-title":"Fuzzy Sets Syst"},{"issue":"15","key":"913_CR15","doi-asserted-by":"crossref","first-page":"2208","DOI":"10.1016\/j.ins.2005.05.001","volume":"176","author":"ZH Li","year":"2006","unstructured":"Li ZH, Li P, Li YM (2006) The relationships among several types of fuzzy automata. Inform Sci 176(15):2208\u20132226","journal-title":"Inform Sci"},{"issue":"2","key":"913_CR16","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1016\/j.ijar.2007.05.004","volume":"47","author":"YM Li","year":"2008","unstructured":"Li YM (2008) Approximation and robustness of fuzzy finite automata. Int J Approx Reasoning 47(2):247\u2013257","journal-title":"Int J Approx Reason"},{"key":"913_CR17","doi-asserted-by":"crossref","DOI":"10.1201\/9781420035643","volume-title":"Fuzzy automata and languages: theory and applications","author":"JN Mordeson","year":"2002","unstructured":"Mordeson JN, Malik DS (2002) Fuzzy automata and languages: theory and applications. Chapman & Hall\/CRC, London"},{"issue":"3","key":"913_CR18","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1016\/0167-739X(94)00068-P","volume":"11","author":"VK Murthy","year":"1995","unstructured":"Murthy VK, Krishnamurthy EV (1995) Probabilistic parallel programming based on multiset transformation. Future Gener Comput Syst 11(3):283\u2013293","journal-title":"Future Gener Comput Syst"},{"issue":"6","key":"913_CR19","doi-asserted-by":"crossref","first-page":"830","DOI":"10.1016\/j.neunet.2008.06.020","volume":"21","author":"S McGregor","year":"2008","unstructured":"McGregor S (2008) Further results in multiset processing with neural networks. Neural Netw 21(6):830\u2013837","journal-title":"Neural Netw"},{"issue":"1","key":"913_CR20","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1142\/S1469026801000068","volume":"1","author":"W Pedrycz","year":"2001","unstructured":"Pedrycz W, Gacek A (2001) Learning of fuzzy automata. Int J Comput Intell Appl 1(1):19\u201333","journal-title":"Int J Comput Intell Appl"},{"key":"913_CR21","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-03563-4","volume-title":"DNA computing: new computing paradigms","author":"G P\u0103un","year":"1998","unstructured":"P\u0103un G, Rozenberg G, Salomaa A (1998) DNA computing: new computing paradigms. Springer, Berlin"},{"issue":"1","key":"913_CR22","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1016\/j.biosystems.2006.02.001","volume":"85","author":"G P\u0103un","year":"2006","unstructured":"P\u0103un G, P\u00e9rez-Jim\u00e9nez MJ (2006) Membrane computing: brief introduction, recent results and applications. Biosystems 85(1):11\u201322","journal-title":"Biosystems"},{"key":"913_CR23","doi-asserted-by":"crossref","first-page":"2128","DOI":"10.1016\/j.fss.2006.03.014","volume":"157","author":"DW Qiu","year":"2006","unstructured":"Qiu DW (2006) Pumping lemma in automata theory based on complete residuated lattice-valued logic: a note. Fuzzy Sets Syst 157:2128\u20132138","journal-title":"Fuzzy Sets Syst"},{"key":"913_CR24","doi-asserted-by":"crossref","unstructured":"Raymond D, Wood D, Yu S (1996) Automata Implementation. First International Workshop on Implementing Automata. Lecture Notes in Computer Science, vol 1260. Springer, Berlin","DOI":"10.1007\/3-540-63174-7"},{"key":"913_CR25","volume-title":"Theory of automata","author":"A Salomaa","year":"1969","unstructured":"Salomaa A (1969) Theory of automata. Pergamon Press, Oxford"},{"key":"913_CR26","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1016\/S0019-9958(68)90123-X","volume":"12","author":"ES Santos","year":"1968","unstructured":"Santos ES (1968) Maximin automata. Inf Control 12:367\u2013377","journal-title":"Inf Control"},{"key":"913_CR27","doi-asserted-by":"crossref","unstructured":"Tauler R, Maeder M, Juan A (2009) Multiset data analysis: extended multivariate curve resolution. In: Brown SD, Tauler R, Walczak B (eds) Comprehensive chemometrics: chemical and biochemical data analysis. Elsevier, Oxford, pp 473\u2013505","DOI":"10.1016\/B978-044452701-1.00055-7"},{"key":"913_CR28","unstructured":"Wee WG (1967) On generalizations of adaptive algorithm and application of the fuzzy sets concept to pattern classification. PhD thesis, Purdue University"},{"issue":"6","key":"913_CR29","doi-asserted-by":"crossref","first-page":"949","DOI":"10.1016\/j.camwa.2008.10.054","volume":"57","author":"QE Wu","year":"2009","unstructured":"Wu QE, Wang T, Huang YX, Li JS (2009) State fusion of fuzzy automata with application on target tracking. Comput Math Appl 57(6):949\u2013960","journal-title":"Comput Math Appl"},{"key":"913_CR30","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1007\/978-3-642-59136-5_2","volume-title":"Handbook of formal languages","author":"S Yu","year":"1997","unstructured":"Yu S (1997) Regular languages. In: Rozenberg G, Salomaa A (eds) Handbook of formal languages. Springer, Berlin, pp 41\u2013110"},{"key":"913_CR31","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","volume":"8","author":"LA Zadeh","year":"1965","unstructured":"Zadeh LA (1965) Fuzzy sets. Inf Control 8:338\u2013353","journal-title":"Inf Control"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-012-0913-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00500-012-0913-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-012-0913-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,7,13]],"date-time":"2020-07-13T23:21:26Z","timestamp":1594682486000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00500-012-0913-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,9,19]]},"references-count":31,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2013,3]]}},"alternative-id":["913"],"URL":"https:\/\/doi.org\/10.1007\/s00500-012-0913-6","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,9,19]]}}}