{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T14:13:58Z","timestamp":1777644838447,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"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":["Fundamenta Informaticae"],"published-print":{"date-parts":[[2013,5]]},"abstract":"<jats:p>First we define a new class of fuzzy Turing machines that we call Generalized Fuzzy Turing Machines. Our machines are equipped with rejecting states as well as accepting states. While we use a t-norm for computing degrees of accepting or rejecting paths, we use its dual t-conorm for computing the accepting or rejecting degrees of inputs. We naturally define when a generalized fuzzy Turing machine accepts or decides a fuzzy language. We prove that a fuzzy language L is decidable if and only if L and its complement are acceptable. Moreover, to each r.e. or co-r.e language L, we naturally correspond a fuzzy language which is acceptable by a generalized fuzzy Turing machine. A converse to this result is also proved. We also consider Atanasov's intuitionistic fuzzy languages and introduce a version of fuzzy Turing machine for studying their computability theoretic properties.<\/jats:p>","DOI":"10.3233\/fi-2013-812","type":"journal-article","created":{"date-parts":[[2019,12,3]],"date-time":"2019-12-03T00:21:46Z","timestamp":1575332506000},"page":"305-315","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":5,"title":["Fuzzy and Intuitionistic Fuzzy Turing Machines"],"prefix":"10.1177","volume":"123","author":[{"given":"Morteza","family":"Moniri","sequence":"first","affiliation":[{"name":"Department of Mathematics, Shahid Beheshti University, G. C., Evin, Tehran, Iran. ezmoniri@gmail.com"}]}],"member":"179","published-online":{"date-parts":[[2013,1,1]]},"container-title":["Fundamenta Informaticae"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2013-812","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2013-812","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T06:30:29Z","timestamp":1777444229000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/FI-2013-812"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,1,1]]},"references-count":0,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2013,5]]}},"alternative-id":["10.3233\/FI-2013-812"],"URL":"https:\/\/doi.org\/10.3233\/fi-2013-812","relation":{},"ISSN":["0169-2968","1875-8681"],"issn-type":[{"value":"0169-2968","type":"print"},{"value":"1875-8681","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,1,1]]}}}