{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,1,28]],"date-time":"2024-01-28T00:08:01Z","timestamp":1706400481909},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"7","license":[{"start":{"date-parts":[[2005,7,19]],"date-time":"2005-07-19T00:00:00Z","timestamp":1121731200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2005,7,19]],"date-time":"2005-07-19T00:00:00Z","timestamp":1121731200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2006,5]]},"DOI":"10.1007\/s00500-005-0512-x","type":"journal-article","created":{"date-parts":[[2005,7,19]],"date-time":"2005-07-19T12:54:15Z","timestamp":1121777655000},"page":"607-617","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["\u22c6-autonomous lattices and fuzzy sets"],"prefix":"10.1007","volume":"10","author":[{"given":"F.","family":"Paoli","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2005,7,19]]},"reference":[{"issue":"6","key":"512_CR1","doi-asserted-by":"crossref","first-page":"1356","DOI":"10.4153\/CJM-1986-069-0","volume":"38","author":"LP Belluce","year":"1986","unstructured":"Belluce LP (1986) Semisimple algebras of infinite-valued logic and bold fuzzy set theory. Can J Math 38(6):1356\u20131379","journal-title":"Can J Math"},{"key":"512_CR2","doi-asserted-by":"crossref","first-page":"13","DOI":"10.4064\/cm-32-1-13-24","volume":"32","author":"J Berman","year":"1974","unstructured":"Berman J (1974) Homogeneous lattices and lattice-ordered groups. Colloq Math 32:13\u201324","journal-title":"Colloq Math"},{"key":"512_CR3","doi-asserted-by":"crossref","unstructured":"Bigard A, Keimel K, Wolfenstein S (1977) Groupes et Anneaux R\u00e9ticul\u00e9s. Springer, Berlin","DOI":"10.1007\/BFb0067004"},{"issue":"4","key":"512_CR4","doi-asserted-by":"crossref","first-page":"437","DOI":"10.1142\/S0218196703001511","volume":"13","author":"K Blount","year":"2003","unstructured":"Blount K, Tsinakis C (2003) The structure of residuated lattices. Int J Algebra Comput 13(4):437\u2013461","journal-title":"Int J Algebra Comput"},{"key":"512_CR5","doi-asserted-by":"crossref","unstructured":"Casari E (1989) Comparative logic and Abelian \u2113-groups. In: Ferro R et al (eds) Logic Colloquium '88, North Holland, Amsterdam pp 161\u2013190","DOI":"10.1016\/S0049-237X(08)70269-6"},{"key":"512_CR6","unstructured":"Casari E (1991) Logics on pregroups. In: Corsi G et al (eds) Nuovi Problemi della Logica e della Filosofia della Scienza, vol 2. CLUEB, Bologna pp 39\u201358"},{"key":"512_CR7","first-page":"74","volume":"93","author":"CC Chang","year":"1958","unstructured":"Chang CC (1958) Algebraic analysis of many-valued logics. Trans AMS 93:74\u201390","journal-title":"Trans AMS"},{"key":"512_CR8","unstructured":"Dunn JM (1966) The algebra of intensional logics. PhD Dissertation, Pittsburgh University"},{"issue":"1","key":"512_CR9","doi-asserted-by":"crossref","first-page":"254","DOI":"10.1016\/j.jalgebra.2004.07.002","volume":"283","author":"N Galatos","year":"2005","unstructured":"Galatos N, Tsinakis C, (2005) Generalized MV-algebras. J Algebra 283(1):254\u2013291","journal-title":"J Algebra"},{"key":"512_CR10","doi-asserted-by":"crossref","unstructured":"Jipsen P, Tsinakis C (2002) A survey of residuated lattices. In: Martinez J (ed) Ordered algebraic structures. Kluwer, Dordrecht, pp 19\u201356","DOI":"10.1007\/978-1-4757-3627-4_3"},{"key":"512_CR11","unstructured":"Koppelberg S (1989) General theory of Boolean algebras. In: Monk JD (ed) Handbook of boolean algebras. vol 1, North Holland, Amsterdam, pp 1\u2013312"},{"key":"512_CR12","unstructured":"Kowalski T, Ono H (2001) Residuated lattices. JAIST Reports, Kanazawa"},{"key":"512_CR13","first-page":"233","volume":"53","author":"J Kuehr","year":"2003","unstructured":"Kuehr J (2003) Prime ideals and polars in DR\u2113-monoids and pseudo-BL algebras. Math Slovaca 53:233\u2013246","journal-title":"Math Slovaca"},{"issue":"1","key":"512_CR14","first-page":"57","volume":"55","author":"J Kuehr","year":"2005","unstructured":"Kuehr J (2005) Ideals of noncommutative DR\u2113-monoids. Czech Math J 55(1):57\u2013111","journal-title":"Czech Math J"},{"key":"512_CR15","unstructured":"Kuehr J Direct products of DR\u2113-monoids: lattice ordered groups and certain algebras. submitted for publication"},{"key":"512_CR16","unstructured":"Lin\u00e9s Escard\u00f3 E, Mallol Balma\u00f1a R (1952) On \u2113-groups (Spanish). Revista Matematica Hispano-Americana 12(4):129\u2013136"},{"key":"512_CR17","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1016\/0022-1236(86)90015-7","volume":"65","author":"D Mundici","year":"1986","unstructured":"Mundici D (1986) Interpretation of AF C*-algebras in Lukasiewicz sentential calculi. J Funct Anal 65:15\u201363","journal-title":"J Funct Anal"},{"key":"512_CR18","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1006\/aama.1998.0631","volume":"22","author":"D Mundici","year":"1999","unstructured":"Mundici D (1999) Tensor products and the Loomis-Sikorski theorem for MV-algebras. Adv Appl Math 22:227\u2013248","journal-title":"Adv Appl Math"},{"key":"512_CR19","doi-asserted-by":"crossref","unstructured":"Ono H (1993) Semantics for substructural logics. In: Do\u0161en K, Schroeder-Heister P (eds) Substructural logics. Oxford University Press, Oxford, pp 259\u2013291","DOI":"10.1093\/oso\/9780198537779.003.0010"},{"key":"512_CR20","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1023\/A:1025171301247","volume":"74","author":"H Ono","year":"2003","unstructured":"Ono H (2003) Closure operators and complete embeddings of residuated lattices. Studia Logica 74:427\u2013440","journal-title":"Studia Logica"},{"key":"512_CR21","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1007\/s001530100098","volume":"41","author":"F Paoli","year":"2002","unstructured":"Paoli F (2002) On the algebraic structure of linear, relevance, and fuzzy logics. Arc Math Logic 41:107\u2013121","journal-title":"Arc Math Logic"},{"key":"512_CR22","doi-asserted-by":"crossref","unstructured":"Paoli F (2002) Substructural logics: a primer. Kluwer, Dordrecht","DOI":"10.1007\/978-94-017-3179-9"},{"issue":"3","key":"512_CR23","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1023\/A:1022995202767","volume":"134","author":"F Paoli","year":"2003","unstructured":"Paoli F (2003) A really fuzzy approach to the sorites paradox. Synthese, 134(3):363\u2013387","journal-title":"Synthese"},{"key":"512_CR24","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1007\/s11225-005-2979-y","volume":"79","author":"F Paoli","year":"2005","unstructured":"Paoli F (2005) \u22c6-autonomous lattices. Studia Logica, 79:283\u2013304","journal-title":"Studia Logica"},{"key":"512_CR25","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1007\/BF01360284","volume":"159","author":"KLN Swamy","year":"1965","unstructured":"Swamy KLN (1965) Dually residuated lattice ordered semigroups. Math Ann 159:105\u2013114","journal-title":"Math Ann"},{"key":"512_CR26","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1007\/BF01364335","volume":"160","author":"KLN Swamy","year":"1965","unstructured":"Swamy KLN (1965) Dually residuated lattice ordered semigroups, II. Math Ann 160:64\u201371","journal-title":"Math Ann"},{"key":"512_CR27","doi-asserted-by":"crossref","first-page":"41","DOI":"10.2307\/2274953","volume":"55","author":"DN Yetter","year":"1990","unstructured":"Yetter DN (1990) Quantales and (noncommutative) linear logic. J Sym Logic 55:41\u201364","journal-title":"J Sym Logic"},{"key":"512_CR28","doi-asserted-by":"crossref","unstructured":"Zimmermann HJ (1991) Fuzzy set theory and its applications. Kluwer, Dordrecht","DOI":"10.1007\/978-94-015-7949-0"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-005-0512-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00500-005-0512-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-005-0512-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-005-0512-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,27]],"date-time":"2024-01-27T23:05:59Z","timestamp":1706396759000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00500-005-0512-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,7,19]]},"references-count":28,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2006,5]]}},"alternative-id":["512"],"URL":"https:\/\/doi.org\/10.1007\/s00500-005-0512-x","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,7,19]]},"assertion":[{"value":"19 July 2005","order":1,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}