{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,23]],"date-time":"2024-07-23T01:40:06Z","timestamp":1721698806360},"reference-count":60,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","funder":[{"name":"SERB, Ministry of Science & Technology, DST, Government of India","award":["EMR\/2017\/001108"],"award-info":[{"award-number":["EMR\/2017\/001108"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["New Math. and Nat. Computation"],"published-print":{"date-parts":[[2020,3]]},"abstract":"<jats:p>This paper is toward the study of measure of different operators in fuzzy automata theory, which determine the amount of preciseness of given [Formula: see text]-valued subset endowed with an [Formula: see text]-valued preorder induced by [Formula: see text]-valued transition function of an [Formula: see text]-valued automaton. Further, we study the algebraic and topological study of [Formula: see text]-valued automata via different [Formula: see text]-valued operators and on the basis of homomorphism we examine the behavior of operators associated with an [Formula: see text]-valued automaton.<\/jats:p>","DOI":"10.1142\/s1793005720500027","type":"journal-article","created":{"date-parts":[[2019,9,6]],"date-time":"2019-09-06T03:53:35Z","timestamp":1567742015000},"page":"17-35","source":"Crossref","is-referenced-by-count":0,"title":["Measure of Operators Associated with Fuzzy Automata"],"prefix":"10.1142","volume":"16","author":[{"given":"Priyanka","family":"Pal","sequence":"first","affiliation":[{"name":"Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad 826004, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S. P.","family":"Tiwari","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad 826004, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.","family":"Kavikumar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2020,3,18]]},"reference":[{"key":"S1793005720500027BIB001","first-page":"322","volume-title":"Proceedings of the 8th Annual Symposium on Switching and Automata Theory","author":"Bavel Z.","year":"1967"},{"key":"S1793005720500027BIB002","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511525889"},{"key":"S1793005720500027BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2011.12.035"},{"key":"S1793005720500027BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(76)90206-0"},{"key":"S1793005720500027BIB005","doi-asserted-by":"publisher","DOI":"10.1155\/S0161171286000546"},{"key":"S1793005720500027BIB006","first-page":"37","volume":"61","author":"Bailador G.","year":"2009","journal-title":"Fuzzy Sets and Systems"},{"key":"S1793005720500027BIB007","doi-asserted-by":"publisher","DOI":"10.1201\/9781420035643"},{"key":"S1793005720500027BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/0888-613X(91)90014-D"},{"key":"S1793005720500027BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"S1793005720500027BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(68)90123-X"},{"key":"S1793005720500027BIB012","first-page":"781","volume":"2","author":"Malik D. S.","year":"1994","journal-title":"Journal of Fuzzy Mathematics"},{"key":"S1793005720500027BIB013","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-011-0782-4"},{"key":"S1793005720500027BIB014","doi-asserted-by":"publisher","DOI":"10.1007\/s12190-010-0466-8"},{"key":"S1793005720500027BIB015","first-page":"103","volume":"14","author":"Abolpour K.","year":"2017","journal-title":"Iranian Journal of Fuzzy Systems"},{"key":"S1793005720500027BIB016","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(97)00236-4"},{"key":"S1793005720500027BIB017","first-page":"73","volume":"10","author":"Horry M.","year":"2013","journal-title":"Iranian Journal of Fuzzy Systems"},{"key":"S1793005720500027BIB018","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2007.08.003"},{"key":"S1793005720500027BIB019","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2009.06.007"},{"key":"S1793005720500027BIB020","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2012.02.008"},{"key":"S1793005720500027BIB021","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2013.01.018"},{"key":"S1793005720500027BIB022","doi-asserted-by":"publisher","DOI":"10.1007\/BF02936044"},{"key":"S1793005720500027BIB023","doi-asserted-by":"publisher","DOI":"10.1007\/BF02831941"},{"key":"S1793005720500027BIB024","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2007.06.008"},{"key":"S1793005720500027BIB025","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(96)00205-9"},{"key":"S1793005720500027BIB026","first-page":"1019","volume":"8","author":"Kumbhojkar H. V.","year":"2008","journal-title":"International Journal of Fuzzy Mathematics"},{"key":"S1793005720500027BIB027","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2005.04.004"},{"key":"S1793005720500027BIB028","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2009.12.011"},{"key":"S1793005720500027BIB029","doi-asserted-by":"publisher","DOI":"10.1080\/03081079108945016"},{"key":"S1793005720500027BIB030","doi-asserted-by":"publisher","DOI":"10.1007\/s005000050091"},{"key":"S1793005720500027BIB031","first-page":"423","volume":"6","author":"Mo\u010dko\u0327r J.","year":"2002","journal-title":"Soft Computing"},{"key":"S1793005720500027BIB032","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(88)90198-4"},{"key":"S1793005720500027BIB033","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488504002679"},{"key":"S1793005720500027BIB034","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1007\/BF02879817","volume":"44","author":"Qiu D.","year":"2001","journal-title":"Science in China Series F: Information Sciences"},{"key":"S1793005720500027BIB035","doi-asserted-by":"crossref","first-page":"442","DOI":"10.1360\/02yf9038","volume":"45","author":"Qiu D.","year":"2002","journal-title":"Science in China Series F: Information Sciences"},{"key":"S1793005720500027BIB036","doi-asserted-by":"publisher","DOI":"10.1016\/j.ic.2003.11.003"},{"key":"S1793005720500027BIB037","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(03)00202-1"},{"key":"S1793005720500027BIB038","first-page":"485","volume":"2275","author":"Srivastava A. K.","year":"2002","journal-title":"Lecture Notes in Artificial Intelligence"},{"key":"S1793005720500027BIB039","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-151673"},{"key":"S1793005720500027BIB040","doi-asserted-by":"publisher","DOI":"10.1007\/s12543-012-0108-y"},{"key":"S1793005720500027BIB041","first-page":"63","volume":"12","author":"Tiwari S. P.","year":"2015","journal-title":"Iranian Journal of Fuzzy Systems"},{"key":"S1793005720500027BIB042","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2004.06.014"},{"key":"S1793005720500027BIB043","doi-asserted-by":"publisher","DOI":"10.1007\/s12190-014-0782-5"},{"key":"S1793005720500027BIB044","doi-asserted-by":"publisher","DOI":"10.1504\/IJMPT.2012.051346"},{"key":"S1793005720500027BIB045","first-page":"251","volume":"620","author":"Han S. E.","year":"2016","journal-title":"Computational Intelligence"},{"key":"S1793005720500027BIB046","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-017-2841-y"},{"key":"S1793005720500027BIB047","first-page":"111","volume":"16","author":"Li F.","year":"2019","journal-title":"Iranian Journal of Fuzzy Systems"},{"key":"S1793005720500027BIB048","volume-title":"Applications of Category Theory to Fuzzy Sets","author":"H\u00f6hle U.","year":"1992"},{"key":"S1793005720500027BIB049","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-011-0215-5","volume-title":"Commutative, Residuated L-Monoids, Nonclassical Logics and Their Applications to Fuzzy Sets","author":"H\u00f6hle U.","year":"1995"},{"key":"S1793005720500027BIB050","series-title":"Pirman Research Notes in Mathematics","volume-title":"Quantales and their Applications","volume":"234","author":"Rosenthal K. I.","year":"1990"},{"key":"S1793005720500027BIB051","doi-asserted-by":"publisher","DOI":"10.2307\/1968634"},{"key":"S1793005720500027BIB052","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1939-1501995-3"},{"key":"S1793005720500027BIB053","first-page":"1","volume":"11","author":"Brown L. M.","year":"2014","journal-title":"Iranian Journal of Fuzzy Systems"},{"key":"S1793005720500027BIB054","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2010.05.001"},{"key":"S1793005720500027BIB055","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2010.01.002"},{"key":"S1793005720500027BIB056","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(76)90029-9"},{"key":"S1793005720500027BIB057","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511542725"},{"key":"S1793005720500027BIB058","first-page":"15","volume":"46","author":"\u0160ostak A.","year":"2017","journal-title":"Hacettepe Journal of Mathematics and Statistics"},{"key":"S1793005720500027BIB059","doi-asserted-by":"publisher","DOI":"10.1145\/321439.321448"},{"key":"S1793005720500027BIB060","doi-asserted-by":"publisher","DOI":"10.1007\/BF01695771"},{"key":"S1793005720500027BIB061","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-0000(77)80024-X"}],"container-title":["New Mathematics and Natural Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793005720500027","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,23]],"date-time":"2024-07-23T01:06:13Z","timestamp":1721696773000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793005720500027"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,3]]},"references-count":60,"journal-issue":{"issue":"01","published-print":{"date-parts":[[2020,3]]}},"alternative-id":["10.1142\/S1793005720500027"],"URL":"https:\/\/doi.org\/10.1142\/s1793005720500027","relation":{},"ISSN":["1793-0057","1793-7027"],"issn-type":[{"value":"1793-0057","type":"print"},{"value":"1793-7027","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,3]]}}}