{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,17]],"date-time":"2025-04-17T16:08:41Z","timestamp":1744906121694},"reference-count":36,"publisher":"Springer Science and Business Media LLC","issue":"10","license":[{"start":{"date-parts":[[2005,11,5]],"date-time":"2005-11-05T00:00:00Z","timestamp":1131148800000},"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":[[2006,8]]},"DOI":"10.1007\/s00500-005-0021-y","type":"journal-article","created":{"date-parts":[[2005,11,4]],"date-time":"2005-11-04T13:32:08Z","timestamp":1131111128000},"page":"941-952","source":"Crossref","is-referenced-by-count":34,"title":["On pseudo-BL algebras and BCC-algebras"],"prefix":"10.1007","volume":"10","author":[{"given":"Xiao-hong","family":"Zhang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wei Hua","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2005,11,5]]},"reference":[{"key":"21_CR1","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1006\/jmaa.2000.7024","volume":"251","author":"A Di Nola","year":"2000","unstructured":"Di Nola A, Georgescu G, Leustean L (2000) Boolean products of BL-algebras. J Math Anal Appl 251:106\u2013131","journal-title":"J Math Anal Appl"},{"key":"21_CR2","first-page":"673","volume":"8","author":"A Di Nola","year":"2002","unstructured":"Di Nola A, Georgescu G, Iorgulescu A (2002) Pseudo-BL algebras I, II. Multiple-Valued Logic 8:673\u2013714, 717\u2013750","journal-title":"Multiple-Valued Logic"},{"key":"21_CR3","doi-asserted-by":"crossref","first-page":"737","DOI":"10.1007\/s00153-003-0178-y","volume":"42","author":"A Di Nola","year":"2003","unstructured":"Di Nola A, Leustean L (2003) Compact representations of BL-algebras. Arch Math Logic 42:737\u2013761","journal-title":"Arch Math Logic"},{"key":"21_CR4","first-page":"129","volume":"20","author":"WA Dudek","year":"1992","unstructured":"Dudek WA (1992) The number of subalgebras of finite BCC-algebras. Bull Inst Math Academia Sinica 20:129\u2013135","journal-title":"Bull Inst Math Academia Sinica"},{"key":"21_CR5","first-page":"137","volume":"20","author":"WA Dudek","year":"1992","unstructured":"Dudek WA (1992) On proper BCC-algebras. Bull Inst Math Acad Sinica 20:137\u2013150","journal-title":"Bull Inst Math Acad Sinica"},{"issue":"(123","key":"21_CR6","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1023\/A:1022407325810","volume":"48","author":"WA Dudek","year":"1998","unstructured":"Dudek WA, Zhang XH (1998) On ideals and congruence in BCC-algebras. Czechoslovak Math J 48 (123):21\u201329","journal-title":"Czechoslovak Math J"},{"key":"21_CR7","doi-asserted-by":"crossref","first-page":"355","DOI":"10.1007\/s005000100137","volume":"5","author":"P Flondor","year":"2001","unstructured":"Flondor P, Georgescu G, Iorgulescu A (2001) Pseudo-t-norms and pseudo-BL algebras. Soft Comput 5:355\u2013371","journal-title":"Soft Comput"},{"key":"21_CR8","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1007\/s00500-003-0266-2","volume":"8","author":"G Georgescu","year":"2004","unstructured":"Georgescu G (2004) Bosbach states on fuzzy structures. Soft Comput 8:217\u2013230","journal-title":"Soft Comput"},{"key":"21_CR9","unstructured":"Georgescu G, Iorgulescu A (1999) Pseudo-MV algebras: a noncommutative extension of MV-algebras. In: The proceedings of the fourth international symposium on economic informatics, Bucharest, pp 961\u2013968"},{"key":"21_CR10","first-page":"95","volume":"6","author":"G Georgescu","year":"2001","unstructured":"Georgescu G, Iorgulescu A (2001) Pseudo-MV algebras. Multiple Valued Logic 6:95\u2013135","journal-title":"Multiple Valued Logic"},{"key":"21_CR11","doi-asserted-by":"crossref","unstructured":"Georgescu G, Iorgulescu A (2001) Pseudo-BCK algebras: an extension of BCK algebras. In: Proceedings of DMTCS\u201901: combinatorics, computability and logic, Springer, London pp 97\u2013114","DOI":"10.1007\/978-1-4471-0717-0_9"},{"key":"21_CR12","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1017\/S144678870000851X","volume":"73","author":"G Georgescu","year":"2002","unstructured":"Georgescu G, Leustean L (2002) Some classes of pseudo-BL algebras. J Aust Math Soc 73:127\u2013153","journal-title":"J Aust Math Soc"},{"key":"21_CR13","unstructured":"Georgescu G, Leustean L, Preoteasa V, Pseudo-hoops (to appear)"},{"key":"21_CR14","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-011-5300-3","volume-title":"Metamathematics of fuzzy logic","author":"P H\u00e1jek","year":"1998","unstructured":"H\u00e1jek P (1998) Metamathematics of fuzzy logic, Kluwer, Dordrecht"},{"key":"21_CR15","doi-asserted-by":"crossref","first-page":"38","DOI":"10.1007\/s00500-002-0246-y","volume":"8","author":"P H\u00e1jek","year":"2003","unstructured":"H\u00e1jek P (2003) Observations on non-commutative fuzzy logic. Soft Comput 8:38\u201343","journal-title":"Soft Comput"},{"issue":"3","key":"21_CR16","first-page":"583","volume":"57","author":"A Iorgulescu","year":"2003","unstructured":"Iorgulescu A (2003) Some direct ascendents of Wajsberg and MV algebras. Scientiae Mathematicae Japonicae 57(3):583\u2013647","journal-title":"Scientiae Mathematicae Japonicae"},{"key":"21_CR17","doi-asserted-by":"crossref","first-page":"449","DOI":"10.1007\/s00500-003-0304-0","volume":"8","author":"A Iorgulescu","year":"2004","unstructured":"Iorgulescu A (2004) Is\u00e9ki algebras. Connection with BL algebras. Soft Comput 8:449\u2013463","journal-title":"Soft Comput"},{"key":"21_CR18","unstructured":"Iorgulescu A (2004) Classes of BCK algebras \u2013 Part I: Preprint series of the Institute of Mathematics of Romanian Academy (in Press)"},{"issue":"3\u20134","key":"21_CR19","first-page":"263","volume":"11","author":"A Iorgulescu","year":"2005","unstructured":"Iorgulescu A (2005) Pseudo-Is\u00e9ki algebras. Connection with pseudo-BL algebras. Multiple-Valued Logic and Soft Comput 11(3\u20134):263\u2013308","journal-title":"Multiple-Valued Logic and Soft Comput"},{"key":"21_CR20","unstructured":"Iorgulescu A Classes of Pseudo-BCK algebras: Part-I. Multiple Valued Logic Soft Comput (to appear)"},{"key":"21_CR21","doi-asserted-by":"crossref","first-page":"19","DOI":"10.3792\/pja\/1195522169","volume":"42","author":"Y Imai","year":"1966","unstructured":"Imai Y, Is\u00e9ki K (1966) On axiom systems of propositional calculi XIV. Proc Japan Acad 42:19\u201322","journal-title":"Proc Japan Acad"},{"key":"21_CR22","doi-asserted-by":"crossref","first-page":"803","DOI":"10.3792\/pja\/1195522251","volume":"41","author":"K Is\u00e9ki","year":"1965","unstructured":"Is\u00e9ki K (1965) Algebraic formulations of propositional calculi, Proc Japan Acad 41:803\u2013807","journal-title":"Proc Japan Acad"},{"key":"21_CR23","doi-asserted-by":"crossref","first-page":"26","DOI":"10.3792\/pja\/1195522171","volume":"42","author":"K Is\u00e9ki","year":"1966","unstructured":"Is\u00e9ki K (1966) An algebra related with a propositional calculus, Proc Japan Acad 42:26\u201329","journal-title":"Proc Japan Acad"},{"key":"21_CR24","first-page":"191","volume":"5","author":"K Is\u00e9ki","year":"1977","unstructured":"Is\u00e9ki K (1977) A special class of BCK-algebras. Math Semin Notes 5:191\u2013198","journal-title":"Math Semin Notes"},{"key":"21_CR25","first-page":"107","volume":"24","author":"K Is\u00e9ki","year":"1979","unstructured":"Is\u00e9ki K (1979) BCK-algebras with condition (S). Math Japon 24:107\u2013119","journal-title":"Math Japon"},{"key":"21_CR26","first-page":"1","volume":"23","author":"K Is\u00e9ki","year":"1978","unstructured":"Is\u00e9ki K, Tanaka S (1978) An introduction to the theory of BCK-algebras. Math Japon 23:1\u201326","journal-title":"Math Japon"},{"key":"21_CR27","volume-title":"BCK-algebras","author":"J Meng","year":"1994","unstructured":"Meng J, Jun YB (1994) BCK-algebras. Kyung Moon Sa Co., Seoul, Korea"},{"key":"21_CR28","first-page":"391","volume":"29","author":"Y Komori","year":"1984","unstructured":"Komori Y (1984) The class of BCC-algebras is not a variety. Math Japon 29:391\u2013394","journal-title":"Math Japon"},{"key":"21_CR29","doi-asserted-by":"crossref","first-page":"386","DOI":"10.1007\/s005000100141","volume":"5","author":"I Leustean","year":"2001","unstructured":"Leustean I (2001) Local pseudo MV-algebras. Soft Comput 5:386\u2013395","journal-title":"Soft Comput"},{"key":"21_CR30","unstructured":"Ye RF, Zhang XH (1993) On ideals in BZ-algebras and its homomorphism theorems. J East China Univ Sci Technol 19:775\u2013778 in Chinese"},{"key":"21_CR31","unstructured":"Turunen E (1999) Mathematics behind fuzzy logic. Physica-Verlag"},{"key":"21_CR32","doi-asserted-by":"crossref","first-page":"467","DOI":"10.1007\/s001530100088","volume":"40","author":"E Turunen","year":"2001","unstructured":"Turunen E (2001) Boolean deductive systems of BL- algebras. Arch Math Logic 40:467\u2013473","journal-title":"Arch Math Logic"},{"key":"21_CR33","first-page":"229","volume":"6","author":"E Turunen","year":"2001","unstructured":"Turunen E, Sessa S (2001) Local BL-algebras. Multiple Valued Logic 6:229\u2013250","journal-title":"Multiple Valued Logic"},{"key":"21_CR34","first-page":"183","volume":"30","author":"A Wro\u0144ski","year":"1985","unstructured":"Wro\u0144ski A (1985) An algebraic motivation for BCK-algebras. Math Japon 30:183\u2013193","journal-title":"Math Japon"},{"key":"21_CR35","first-page":"223","volume":"29","author":"XH Zhang","year":"1995","unstructured":"Zhang XH, Ye RF (1995) BZ-algebra and group, J Math Phy Sci (India) 29:223\u2013233","journal-title":"J Math Phy Sci (India)"},{"key":"21_CR36","first-page":"1559","volume":"34","author":"XH Zhang","year":"2003","unstructured":"Zhang XH, Wang YQ, Dudek WA (2003) T-ideals in BZ-algebras and T-type BZ-algebras. Indian J Pure Appl Math 34:1559\u20131570","journal-title":"Indian J Pure Appl Math"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-005-0021-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00500-005-0021-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-005-0021-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T01:38:08Z","timestamp":1559093888000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00500-005-0021-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,11,5]]},"references-count":36,"journal-issue":{"issue":"10","published-print":{"date-parts":[[2006,8]]}},"alternative-id":["21"],"URL":"https:\/\/doi.org\/10.1007\/s00500-005-0021-y","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,11,5]]}}}