{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,28]],"date-time":"2025-04-28T14:30:36Z","timestamp":1745850636536},"reference-count":35,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2014,11,20]],"date-time":"2014-11-20T00:00:00Z","timestamp":1416441600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2016,2]]},"DOI":"10.1007\/s00500-014-1528-x","type":"journal-article","created":{"date-parts":[[2014,11,21]],"date-time":"2014-11-21T10:54:35Z","timestamp":1416567275000},"page":"637-648","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":25,"title":["Characterizations of two kinds of hemirings based on probability spaces"],"prefix":"10.1007","volume":"20","author":[{"given":"Jianming","family":"Zhan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bin","family":"Yu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Violeta-Elena","family":"Fotea","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,11,20]]},"reference":[{"key":"1528_CR1","volume-title":"Introduction to automata theory, language and computation","author":"AW Aho","year":"1979","unstructured":"Aho AW, Ullman JD (1979) Introduction to automata theory, language and computation. Addison-Wesley, Reading, MA"},{"issue":"5","key":"1528_CR2","doi-asserted-by":"crossref","first-page":"881","DOI":"10.1007\/s00500-007-0256-x","volume":"12","author":"M Akram","year":"2008","unstructured":"Akram M, Dudek WA (2008) Intuitionistic fuzzy $$k$$ k -ideals of semirings. Soft Comput 12(5):881\u2013890","journal-title":"Soft Comput"},{"key":"1528_CR3","doi-asserted-by":"crossref","unstructured":"Chen J, Suarez J, Molnar P, Behal A (2011) Maximum likelihood parameter estimation in a stochastic resonate-and-fire neuronal model. In: Computational advances in bio and medical sciences (ICCABS), 2011 IEEE 1st international conference, pp 57\u201362.","DOI":"10.1109\/ICCABS.2011.5729941"},{"key":"1528_CR4","doi-asserted-by":"crossref","first-page":"3167","DOI":"10.1016\/j.camwa.2010.03.003","volume":"59","author":"WA Dudek","year":"2012","unstructured":"Dudek WA, Shabir M, Anjum R (2012) Characterizations of hemirings by their $$h$$ h -ideals. Comput Math Appl 59:3167\u20133179","journal-title":"Comput Math Appl"},{"issue":"4","key":"1528_CR5","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1007\/s00500-007-0169-8","volume":"12","author":"WA Dudek","year":"2008","unstructured":"Dudek WA (2008) Special types of intuitionistic fuzzy left $$h$$ h -ideals of hemirings. Soft Comput 12(4):359\u2013364","journal-title":"Soft Comput"},{"issue":"9","key":"1528_CR6","doi-asserted-by":"crossref","first-page":"3167","DOI":"10.1016\/j.camwa.2010.03.003","volume":"59","author":"WA Dudek","year":"2010","unstructured":"Dudek WA, Shabir M, Anjum R (2010) Characterizations of hemirings by their $$h$$ h -ideals. Comput Math Appl 59(9):3167\u20133179","journal-title":"Comput Math Appl"},{"key":"1528_CR7","volume-title":"Recent developments in fuzzy sets and possibility theory","author":"IR Goodman","year":"1982","unstructured":"Goodman IR (1982) Fuzzy sets as equivalence classes of random sets. In: Yager R (ed) Recent developments in fuzzy sets and possibility theory. Pergamon, New York"},{"key":"1528_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-015-9333-5","volume-title":"Semirings and their applications","author":"JS Golan","year":"1999","unstructured":"Golan JS (1999) Semirings and their applications. Kluwer Academic Publishers, Dordrecht"},{"key":"1528_CR9","first-page":"321","volume":"6","author":"M Henriksen","year":"1958","unstructured":"Henriksen M (1958) Ideals in semirings with commutative addition. Am Math Soc Not 6:321","journal-title":"Am Math Soc Not"},{"key":"1528_CR10","unstructured":"Hopcroft JE (2008) Introduction to automata theory, languages, and computation. Pearson Education India"},{"key":"1528_CR11","doi-asserted-by":"crossref","unstructured":"Jun YB, $$\\ddot{O}$$ O \u00a8 zt $$\\ddot{u}$$ u \u00a8 rk MA, Song SZ (2004) On fuzzy $$h$$ h -ideals in hemirings. Inform Sci 162:211\u2013226","DOI":"10.1016\/j.ins.2003.09.007"},{"key":"1528_CR12","doi-asserted-by":"crossref","first-page":"2582","DOI":"10.1016\/j.camwa.2010.01.017","volume":"59","author":"YB Jun","year":"2010","unstructured":"Jun YB (2010) Note on $$(\\alpha, \\beta )$$ ( \u03b1 , \u03b2 ) -fuzzy ideals of hemirings. Comput Math Appl 59:2582\u20132586","journal-title":"Comput Math Appl"},{"key":"1528_CR13","unstructured":"Jun YB, Kim HS, $$\\ddot{O}$$ O \u00a8 zt $$\\ddot{u}$$ u \u00a8 rk MA (2005) Fuzzy $$k$$ k -ideals in semirings. J Fuzzy Math 13:351\u2013364"},{"key":"1528_CR14","volume-title":"Semirings, automata, languages","author":"W Kuich","year":"1985","unstructured":"Kuich W, Salomaa A (1985) Semirings, automata, languages. Springer, Secaucus"},{"issue":"2","key":"1528_CR15","doi-asserted-by":"crossref","first-page":"409","DOI":"10.2748\/tmj\/1178244538","volume":"11","author":"K Iizuka","year":"1959","unstructured":"Iizuka K (1959) On the jacobson radical of a semiring. Tohoku Math J 11(2):409\u2013421","journal-title":"Tohoku Math J"},{"issue":"2","key":"1528_CR16","first-page":"219","volume":"12","author":"DR Torre La","year":"1965","unstructured":"La Torre DR (1965) On $$h$$ h -ideals and $$k$$ k -ideals in hemirings. Publ Math Debr 12(2):219\u2013226","journal-title":"Publ Math Debr"},{"issue":"3","key":"1528_CR17","doi-asserted-by":"crossref","first-page":"470","DOI":"10.1007\/s11424-007-9043-0","volume":"20","author":"X Ma","year":"2007","unstructured":"Ma X, Zhan J (2007) On fuzzy $$h$$ h -ideals of hemirings. J Syst Sci Complex 20(3):470\u2013478","journal-title":"J Syst Sci Complex"},{"issue":"4","key":"1528_CR18","doi-asserted-by":"crossref","first-page":"783","DOI":"10.1016\/j.camwa.2011.11.044","volume":"63","author":"X Ma","year":"2012","unstructured":"Ma X, Yin Y, Zhan J (2012) Characterizations of $$h$$ h -intra- and $$h$$ h -quasi-hemiregular hemirings. Comput Math Appl 63(4):783\u2013793","journal-title":"Comput Math Appl"},{"key":"1528_CR19","doi-asserted-by":"crossref","first-page":"1249","DOI":"10.1016\/j.ins.2008.12.014","volume":"179","author":"X Ma","year":"2009","unstructured":"Ma X, Zhan J (2009) Generalized fuzzy $$h$$ h -bi-ideals and $$h$$ h -quasi-ideals of hemirings. Inform Sci 179:1249\u20131268","journal-title":"Inform Sci"},{"key":"1528_CR20","unstructured":"Sardar SK, Manda D, Davvaz B (2012) Fuzzy $$h$$ h -ideal of matrix hemiring $${S_2} = \\left( \\begin{array}{l} R\\;\\;\\;\\Gamma \\\\ S\\;\\;\\;S \\end{array} \\right)$$ S 2 = R \u0393 S S . Iran J Fuzzy syst 9:55\u201370"},{"key":"1528_CR21","doi-asserted-by":"crossref","first-page":"242","DOI":"10.1006\/jmaa.1993.1114","volume":"174","author":"SK Tan","year":"1993","unstructured":"Tan SK, Wang PZ, Lee ES (1993) Fuzzy set operations based on the theory of falling shadows. J Math Anal Appl 174:242\u2013255","journal-title":"J Math Anal Appl"},{"key":"1528_CR22","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1016\/0165-0114(93)90171-D","volume":"53","author":"SK Tan","year":"1993","unstructured":"Tan SK, Wang PZ, Zhang XZ (1993) Fuzzy inference relation based on the theory of falling shadows. Fuzzy Sets Syst 53:179\u2013188","journal-title":"Fuzzy Sets Syst"},{"key":"1528_CR23","doi-asserted-by":"crossref","unstructured":"La Torre DR (1965) On $$h$$ h -ideals and $$k$$ k -ideals in hemirings. Publ Math Debr 12:219\u2013226","DOI":"10.5486\/PMD.1965.12.1-4.21"},{"key":"1528_CR24","doi-asserted-by":"crossref","first-page":"914","DOI":"10.1090\/S0002-9904-1934-06003-8","volume":"40","author":"HS Vandiver","year":"1934","unstructured":"Vandiver HS (1934) Note on a simple type of algebra in which cancellation law of addition does not hold. Bull Am Math Soc 40:914\u2013920","journal-title":"Bull Am Math Soc"},{"key":"1528_CR25","unstructured":"Wang PZ, Sanchez E (1982) Treating a fuzzy subset as a projectable random set. In: Gupta MM, Sanchez E (eds) Fuzzy Inform Decis. Pergamon, New York, pp 212\u2013219"},{"key":"1528_CR26","doi-asserted-by":"crossref","first-page":"3451","DOI":"10.1016\/j.ins.2008.04.002","volume":"178","author":"Y Yin","year":"2008","unstructured":"Yin Y, Li HX (2008) The characterizatins of $$h$$ h -hemiregular hemirings and $$h$$ h - $$intra$$ i n t r a -hemiregular hemirings. Inform Sci 178:3451\u20133464","journal-title":"Inform Sci"},{"key":"1528_CR27","first-page":"116","volume":"11","author":"Y Yin","year":"2009","unstructured":"Yin Y, Huang X, Xu D, Li H (2009) The characterization of $$h$$ h -semisimple hemirings. Int J Fuzzy Syst 11:116\u2013122","journal-title":"Int J Fuzzy Syst"},{"key":"1528_CR28","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1006\/jmaa.1997.5331","volume":"208","author":"XH Yuan","year":"1997","unstructured":"Yuan XH, Lee ES (1997) A fuzzy system based on the theory of falling shadows. J Math Anal Appl 208:243\u2013251","journal-title":"J Math Anal Appl"},{"key":"1528_CR29","doi-asserted-by":"crossref","unstructured":"Yu B, Zhan J (2013a) Falling fuzzy ideals of hemirings. J Intell Fuzzy Syst 25:1037\u20131042","DOI":"10.3233\/IFS-120707"},{"key":"1528_CR30","doi-asserted-by":"crossref","unstructured":"Yu B, Zhan J (2013b) Characterizations of hemirings based on probability spaces. J Appl Math. 2013:1\u20139. Article ID 716435","DOI":"10.1155\/2013\/716435"},{"key":"1528_CR31","unstructured":"Yu B, Zhan J (2015) Applications of falling fuzzy $$h$$ h -bi-( $$h$$ h -quasi-)ideals to hemirings based on probability spaces. J Mult-valued Logic Soft Comput (in press)"},{"key":"1528_CR32","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. Inform Control 8:338\u2013353","journal-title":"Inform Control"},{"issue":"3","key":"1528_CR33","doi-asserted-by":"crossref","first-page":"876","DOI":"10.1016\/j.ins.2006.04.005","volume":"117","author":"J Zhan","year":"2007","unstructured":"Zhan J, Dudek WA (2007) Fuzzy $$h$$ h -ideals of hemirings. Inform Sci 117(3):876\u2013886","journal-title":"Inform Sci"},{"key":"1528_CR34","doi-asserted-by":"crossref","first-page":"169","DOI":"10.3233\/IFS-2012-0506","volume":"23","author":"J Zhan","year":"2012","unstructured":"Zhan J, Yin Y (2012) A new view of fuzzy $$k$$ k -ideals of hemirings. J Intell Fuzzy Syst 23:169\u2013176","journal-title":"J Intell Fuzzy Syst"},{"key":"1528_CR35","doi-asserted-by":"crossref","first-page":"834","DOI":"10.1109\/TNNLS.2012.2187539","volume":"23","author":"L Zhi","year":"2012","unstructured":"Zhi L, Chen J, Molnar P, Behal A (2012) Weighted least-squares approach for identification of a reduced-order adaptive neuronal model. Neural Netw Learn Syst 23:834\u2013840","journal-title":"Neural Netw Learn Syst"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-014-1528-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00500-014-1528-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-014-1528-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,7,18]],"date-time":"2023-07-18T11:05:06Z","timestamp":1689678306000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00500-014-1528-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,11,20]]},"references-count":35,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2016,2]]}},"alternative-id":["1528"],"URL":"https:\/\/doi.org\/10.1007\/s00500-014-1528-x","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,11,20]]}}}