{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,1,22]],"date-time":"2025-01-22T00:40:19Z","timestamp":1737506419513,"version":"3.33.0"},"publisher-location":"Berlin, Heidelberg","reference-count":22,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540752707"},{"type":"electronic","value":"9783540752714"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/978-3-540-75271-4_22","type":"book-chapter","created":{"date-parts":[[2007,10,29]],"date-time":"2007-10-29T09:16:25Z","timestamp":1193649385000},"page":"210-219","source":"Crossref","is-referenced-by-count":5,"title":["A Logic for Order of Magnitude Reasoning with Negligibility, Non-closeness and Distance"],"prefix":"10.1007","author":[{"given":"A.","family":"Burrieza","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"E.","family":"Mu\u00f1oz-Velasco","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Ojeda-Aciego","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"22_CR1","first-page":"821","volume-title":"Handbook of Modal Logic. Studies in Logic and Practical Reasoning","author":"C. Areces","year":"2007","unstructured":"Areces, C., ten Cate, B.: Hybrid Logics. In: Blackburn, P., Van Benthem, J., Wolter, F. (eds.) Handbook of Modal Logic. Studies in Logic and Practical Reasoning, vol.\u00a03, pp. 821\u2013868. Elsevier, Amsterdam (2007)"},{"key":"22_CR2","first-page":"1","volume":"3","author":"B. Bennett","year":"1995","unstructured":"Bennett, B.: Modal logics for qualitative spatial reasoning. Bull.\u00a0of the IGPL\u00a03, 1\u201322 (1995)","journal-title":"Bull.\u00a0of the IGPL"},{"issue":"3","key":"22_CR3","doi-asserted-by":"publisher","first-page":"239","DOI":"10.1023\/A:1020083231504","volume":"17","author":"B. Bennett","year":"2002","unstructured":"Bennett, B., Cohn, A.G., Wolter, F., Zakharyaschev, M.: Multi-Dimensional Modal Logic as a Framework for Spatio-Temporal Reasoning. Applied Intelligence\u00a017(3), 239\u2013251 (2002)","journal-title":"Applied Intelligence"},{"key":"22_CR4","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781107050884","volume-title":"Modal Logic","author":"P. Blackburn","year":"2001","unstructured":"Blackburn, P., de Rijke, M., Venema, Y.: Modal Logic. Cambridge University Press, Cambridge (2001)"},{"key":"22_CR5","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1007\/978-94-009-6259-0_2","volume-title":"Handbook of Philosophical Logic: Extensions of Classical Logic","author":"J.P. Burgess","year":"1984","unstructured":"Burgess, J.P.: Basic tense logic. In: Gabbay, D., Guenthner, F. (eds.) Handbook of Philosophical Logic: Extensions of Classical Logic, vol.\u00a02, pp. 89\u2013133. Reidel, Dordrechtz (1984)"},{"key":"22_CR6","series-title":"Lecture Notes in Artificial Intelligence","doi-asserted-by":"crossref","first-page":"66","DOI":"10.1007\/978-3-540-25945-9_7","volume-title":"Current Topics in Artificial Intelligence","author":"A. Burrieza","year":"2004","unstructured":"Burrieza, A., Ojeda-Aciego, M.: A multimodal logic approach to order of magnitude qualitative reasoning. In: Conejo, R., Urretavizcaya, M., P\u00e9rez-de-la-Cruz, J.-L. (eds.) Current Topics in Artificial Intelligence. LNCS (LNAI), vol.\u00a03040, pp. 66\u201375. Springer, Heidelberg (2004)"},{"key":"22_CR7","doi-asserted-by":"crossref","first-page":"21","DOI":"10.3233\/FUN-2005-681-202","volume":"68","author":"A. Burrieza","year":"2005","unstructured":"Burrieza, A., Ojeda-Aciego, M.: A multimodal logic approach to order of magnitude qualitative reasoning with comparability and negligibility relations. Fundamenta Informaticae\u00a068, 21\u201346 (2005)","journal-title":"Fundamenta Informaticae"},{"key":"22_CR8","series-title":"Lecture Notes in Artificial Intelligence","doi-asserted-by":"publisher","first-page":"370","DOI":"10.1007\/11881216_39","volume-title":"Current Topics in Artificial Intelligence","author":"A. Burrieza","year":"2006","unstructured":"Burrieza, A., Mu\u00f1oz, E., Ojeda-Aciego, M.: Order of magnitude reasoning with bidirectional negligibility. In: Mar\u00edn, R., Onaind\u00eda, E., Bugar\u00edn, A., Santos, J. (eds.) CAEPIA 2005. LNCS (LNAI), vol.\u00a04177, pp. 370\u2013378. Springer, Heidelberg (2006)"},{"key":"22_CR9","series-title":"Lecture Notes in Artificial Intelligence","doi-asserted-by":"publisher","first-page":"105","DOI":"10.1007\/11964810_6","volume-title":"Theory and Applications of Relational Structures as Knowledge Instruments II","author":"A. Burrieza","year":"2006","unstructured":"Burrieza, A., Ojeda-Aciego, M., Or\u0142owska, E.: Relational approach to order of magnitude reasoning. In: de Swart, H., Or\u0142owska, E., Schmidt, G., Roubens, M. (eds.) Theory and Applications of Relational Structures as Knowledge Instruments II. LNCS (LNAI), vol.\u00a04342, pp. 105\u2013124. Springer, Heidelberg (2006)"},{"key":"22_CR10","unstructured":"Dague, P.: Numeric reasoning with relative orders of magnitude. In: Proc. 11th National Conference on Artificial Intelligence, pp. 541\u2013547. The AAAI Press\/The MIT Press (1993)"},{"key":"22_CR11","first-page":"1509","volume-title":"Proc. 13th Intl. Joint Conference on Artificial Intelligence","author":"P. Dague","year":"1993","unstructured":"Dague, P.: Symbolic reasoning with relative orders of magnitude. In: Proc. 13th Intl. Joint Conference on Artificial Intelligence, pp. 1509\u20131515. Morgan Kaufmann, San Francisco (1993)"},{"key":"22_CR12","doi-asserted-by":"crossref","first-page":"290","DOI":"10.1007\/978-3-7908-1791-1_14","volume-title":"Data mining, rough sets and granular computing","author":"D. Dubois","year":"2002","unstructured":"Dubois, D., Hadj-Ali, A., Prade, H.: Granular Computing with Closeness and Negligibility Relations. In: Data mining, rough sets and granular computing, pp. 290\u2013307. Physica-Verlag GmbH, Heidelberg, Germany (2002)"},{"key":"22_CR13","unstructured":"Mavrovouniotis, M.L., Stephanopoulos, G.: Reasoning with orders of magnitude and approximate relations. In: Proc. 6th National Conference on Artificial Intelligence, The AAAI Press\/The MIT Press (1987)"},{"issue":"4","key":"22_CR14","first-page":"95","volume":"3","author":"A. Missier","year":"1989","unstructured":"Missier, A., Piera, N., Trav\u00e9, L.: Order of Magnitude Algebras: a Survey. Revue d\u2019Intelligence Artificielle\u00a03(4), 95\u2013109 (1989)","journal-title":"Revue d\u2019Intelligence Artificielle"},{"key":"22_CR15","first-page":"15","volume":"6","author":"M. Sanchez","year":"1996","unstructured":"Sanchez, M., Prats, F., Piera, N.: Una formalizaci\u00f3n de relaciones de comparabilidad en modelos cualitativos. Bolet\u00edn de la AEPIA (Bulletin of the Spanish Association for AI)\u00a06, 15\u201322 (1996)","journal-title":"Bolet\u00edn de la AEPIA (Bulletin of the Spanish Association for AI)"},{"key":"22_CR16","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1016\/S0004-3702(96)00050-1","volume":"92","author":"B. Shults","year":"1997","unstructured":"Shults, B., Kuipers, B.J.: Proving properties of continuous systems: qualitative simulation and temporal logic. Artificial Intelligence\u00a092, 91\u2013129 (1997)","journal-title":"Artificial Intelligence"},{"key":"22_CR17","doi-asserted-by":"publisher","first-page":"11","DOI":"10.1016\/0004-3702(91)90107-U","volume":"51","author":"O. Raiman","year":"1991","unstructured":"Raiman, O.: Order of magnitude reasoning. Artificial Intelligence\u00a051, 11\u201338 (1991)","journal-title":"Artificial Intelligence"},{"key":"22_CR18","unstructured":"Randell, D., Cui, Z., Cohn, A.: A spatial logic based on regions and connections. In: KR 1992. Proc. of the 3rd Intl Conf on Principles of Knowledge Representation and Reasoning, pp. 165\u2013176 (1992)"},{"issue":"3","key":"22_CR19","first-page":"91","volume":"24","author":"L. Trav\u00e9-Massuy\u00e8s","year":"2003","unstructured":"Trav\u00e9-Massuy\u00e8s, L., Ironi, L., Dague, P.: Mathematical foundations of qualitative reasoning. AI magazine\u00a024(3), 91\u2013106 (2003)","journal-title":"AI magazine"},{"key":"22_CR20","unstructured":"Trav\u00e9-Massuy\u00e8s, L., Prats, F., S\u00e1nchez, M., Agell, N.: Consistent relative and absolute order-of-magnitude models. In: Proc.\u00a0Qualitative Reasoning 2002 Conference (2002)"},{"key":"22_CR21","doi-asserted-by":"publisher","first-page":"323","DOI":"10.1007\/s10472-005-9002-1","volume":"45","author":"L. Trav\u00e9-Massuy\u00e8s","year":"2005","unstructured":"Trav\u00e9-Massuy\u00e8s, L., Prats, F., S\u00e1nchez, M., Agell, N.: Relative and absolute order-of-magnitude models unified. Annals of Mathematics and Artificial Intelligence\u00a045, 323\u2013341 (2005)","journal-title":"Annals of Mathematics and Artificial Intelligence"},{"key":"22_CR22","volume-title":"Exploring Artificial Intelligence in the New Millenium","author":"F. Wolter","year":"2002","unstructured":"Wolter, F., Zakharyaschev, M.: Qualitative spatio-temporal representation and reasoning: a computational perspective. In: Lakemeyer, G., Nebel, B. (eds.) Exploring Artificial Intelligence in the New Millenium, Morgan Kaufmann, San Francisco (2002)"}],"container-title":["Lecture Notes in Computer Science","Current Topics in Artificial Intelligence"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-75271-4_22.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,22]],"date-time":"2025-01-22T00:14:09Z","timestamp":1737504849000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-75271-4_22"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540752707","9783540752714"],"references-count":22,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-75271-4_22","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[]}}