{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T14:44:28Z","timestamp":1740149068410,"version":"3.37.3"},"reference-count":18,"publisher":"Wiley","license":[{"start":{"date-parts":[[2011,1,1]],"date-time":"2011-01-01T00:00:00Z","timestamp":1293840000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Fuzzy Systems"],"published-print":{"date-parts":[[2011]]},"abstract":"<jats:p>We implement an algorithm that uses a system of fuzzy relation equations (SFRE) with the max-min composition for solving a problem of spatial analysis. We integrate this algorithm in a Geographical Information System (GIS) tool, and the geographical area under study is divided in homogeneous subzones (with respect to the parameters involved) to which we apply our process to determine the symptoms after that an expert sets the SFRE with the values of the impact coefficients. We find that the best solutions and the related results are associated to each subzone. Among others, we define an index to evaluate the reliability of the results.<\/jats:p>","DOI":"10.1155\/2011\/429498","type":"journal-article","created":{"date-parts":[[2011,10,16]],"date-time":"2011-10-16T03:17:55Z","timestamp":1318735075000},"page":"1-14","source":"Crossref","is-referenced-by-count":7,"title":["Spatial Analysis and Fuzzy Relation Equations"],"prefix":"10.1155","volume":"2011","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5690-5384","authenticated-orcid":true,"given":"Ferdinando","family":"Di Martino","sequence":"first","affiliation":[{"name":"Dipartimento di Costruzioni e Metodi Matematici in Architettura, Universit\u00e0 degli Studi di Napoli Federico II, Via Monteoliveto 3, 80134 Napoli, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4303-2884","authenticated-orcid":true,"given":"Salvatore","family":"Sessa","sequence":"additional","affiliation":[{"name":"Dipartimento di Costruzioni e Metodi Matematici in Architettura, Universit\u00e0 degli Studi di Napoli Federico II, Via Monteoliveto 3, 80134 Napoli, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2004.05.001"},{"volume-title":"An evaluation of the reliability of a GIS based on the fuzzy logic in a concrete case study","year":"2005","key":"4"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/S0016-7061(97)00026-8"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1016\/j.agsy.2004.03.002"},{"key":"20","first-page":"9","volume":"19","year":"2006","journal-title":"Italian Journal of Pure and Applied Mathematics"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-006-0103-5"},{"volume":"22","volume-title":"Fuzzy relational calculus: theory, applications and software","year":"2004","key":"22"},{"issue":"1","key":"23","doi-asserted-by":"crossref","first-page":"38","DOI":"10.1016\/S0019-9958(76)90446-0","volume":"30","year":"1976","journal-title":"Information and Control"},{"key":"1","doi-asserted-by":"crossref","first-page":"428","DOI":"10.1007\/s00500-001-0157-3","volume":"6","year":"2002","journal-title":"Soft Computing"},{"key":"2","series-title":"The Handbooks of Fuzzy Sets Series","volume-title":"Analytical solution methods for fuzzy relational equations","volume":"1","year":"2000"},{"issue":"1","key":"5","doi-asserted-by":"crossref","first-page":"31","DOI":"10.3233\/HIS-2008-5103","volume":"5","year":"2008","journal-title":"International Journal of Hybrid Intelligent Systems"},{"year":"1989","key":"6"},{"issue":"1","key":"9","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1016\/0165-0114(84)90026-5","volume":"13","year":"1984","journal-title":"Fuzzy Sets and Systems"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1007\/s10700-009-9059-0"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488508005029"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2007.902018"},{"issue":"2","key":"16","first-page":"195","volume":"7","year":"1985","journal-title":"Acta Cybernetica"},{"issue":"3","key":"17","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1016\/0165-0114(92)90286-D","volume":"49","year":"1992","journal-title":"Fuzzy Sets and Systems"}],"container-title":["Advances in Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/afs\/2011\/429498.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/afs\/2011\/429498.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/afs\/2011\/429498.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,20]],"date-time":"2017-06-20T04:03:15Z","timestamp":1497931395000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/afs\/2011\/429498\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011]]},"references-count":18,"alternative-id":["429498","429498"],"URL":"https:\/\/doi.org\/10.1155\/2011\/429498","relation":{},"ISSN":["1687-7101","1687-711X"],"issn-type":[{"type":"print","value":"1687-7101"},{"type":"electronic","value":"1687-711X"}],"subject":[],"published":{"date-parts":[[2011]]}}}