{"id":"https://openalex.org/W2155767045","doi":"https://doi.org/10.1109/fuzzy.2010.5584782","title":"Discrete t-norms in a fuzzy mathematical morphology: Algebraic properties and experimental results","display_name":"Discrete t-norms in a fuzzy mathematical morphology: Algebraic properties and experimental results","publication_year":2010,"publication_date":"2010-07-01","ids":{"openalex":"https://openalex.org/W2155767045","doi":"https://doi.org/10.1109/fuzzy.2010.5584782","mag":"2155767045"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2010.5584782","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2010.5584782","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Conference on Fuzzy Systems","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040306427","display_name":"Manuel Gonz\u00e1lez-Hidalgo","orcid":"https://orcid.org/0000-0003-4984-387X"},"institutions":[{"id":"https://openalex.org/I50441567","display_name":"Universitat de les Illes Balears","ror":"https://ror.org/03e10x626","country_code":"ES","type":"education","lineage":["https://openalex.org/I50441567"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. Gonzalez-Hidalgo","raw_affiliation_strings":["University of the Balearic Islands, Palma de Mallorca, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of the Balearic Islands, Palma de Mallorca, Spain","institution_ids":["https://openalex.org/I50441567"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017546076","display_name":"Sebasti\u00e0 Massanet","orcid":"https://orcid.org/0000-0001-8243-5013"},"institutions":[{"id":"https://openalex.org/I50441567","display_name":"Universitat de les Illes Balears","ror":"https://ror.org/03e10x626","country_code":"ES","type":"education","lineage":["https://openalex.org/I50441567"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"S. Massanet","raw_affiliation_strings":["University of the Balearic Islands, Palma de Mallorca, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of the Balearic Islands, Palma de Mallorca, Spain","institution_ids":["https://openalex.org/I50441567"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010033209","display_name":"Joan Torrens","orcid":"https://orcid.org/0000-0002-5066-2913"},"institutions":[{"id":"https://openalex.org/I50441567","display_name":"Universitat de les Illes Balears","ror":"https://ror.org/03e10x626","country_code":"ES","type":"education","lineage":["https://openalex.org/I50441567"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. Torrens","raw_affiliation_strings":["University of the Balearic Islands, Palma de Mallorca, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of the Balearic Islands, Palma de Mallorca, Spain","institution_ids":["https://openalex.org/I50441567"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7177,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.85239416,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9785000085830688,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9627000093460083,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/idempotence","display_name":"Idempotence","score":0.8203699588775635},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6369286775588989},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6105219125747681},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5361919403076172},{"id":"https://openalex.org/keywords/mathematical-morphology","display_name":"Mathematical morphology","score":0.5360252261161804},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.5225783586502075},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5176897048950195},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4390348494052887},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3978314995765686},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3717358112335205},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.24249160289764404},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23651540279388428},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1833457052707672},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.16212275624275208},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10504069924354553}],"concepts":[{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.8203699588775635},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6369286775588989},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6105219125747681},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5361919403076172},{"id":"https://openalex.org/C185568154","wikidata":"https://www.wikidata.org/wiki/Q530242","display_name":"Mathematical morphology","level":4,"score":0.5360252261161804},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.5225783586502075},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5176897048950195},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4390348494052887},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3978314995765686},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3717358112335205},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.24249160289764404},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23651540279388428},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1833457052707672},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.16212275624275208},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10504069924354553},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzzy.2010.5584782","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2010.5584782","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Conference on Fuzzy Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W20708483","https://openalex.org/W561419532","https://openalex.org/W590777244","https://openalex.org/W635463974","https://openalex.org/W1486068429","https://openalex.org/W1495134551","https://openalex.org/W2033994334","https://openalex.org/W2086263898","https://openalex.org/W2128729201","https://openalex.org/W2136704614","https://openalex.org/W2161938264","https://openalex.org/W2164741953","https://openalex.org/W2169868723","https://openalex.org/W2192770755","https://openalex.org/W2397664078","https://openalex.org/W2505399031","https://openalex.org/W4230982142","https://openalex.org/W6712151645"],"related_works":["https://openalex.org/W2357143406","https://openalex.org/W1594270709","https://openalex.org/W2077314575","https://openalex.org/W2349459011","https://openalex.org/W1658259736","https://openalex.org/W2378070670","https://openalex.org/W2429125578","https://openalex.org/W4315701745","https://openalex.org/W1990290471","https://openalex.org/W4380682190"],"abstract_inverted_index":{"In":[0,51],"this":[1],"paper,":[2],"a":[3],"new":[4],"approach":[5,58,109],"to":[6,119],"fuzzy":[7,108],"mathematical":[8],"morphology":[9],"based":[10,59,96,110],"on":[11,60,97,111],"discrete":[12,66,79,85],"t-norms":[13,62,86],"is":[14,17,69],"studied.":[15],"It":[16],"proved":[18],"that":[19,115],"the":[20,57,65,98,102,107],"most":[21],"usual":[22],"algebraic":[23],"and":[24,36,41,48,101,105],"morphological":[25,94],"properties":[26,54],"are":[27,87,90,117],"preserved,":[28],"such":[29],"as,":[30],"duality,":[31],"monotonicity,":[32],"interaction":[33],"with":[34,78,92,106],"union":[35],"intersection,":[37],"invariance":[38],"under":[39],"translating":[40],"scaling,":[42],"local":[43],"knowledge":[44],"property,":[45],"extensitivity,":[46],"idempotence,":[47],"many":[49],"others.":[50],"fact,":[52],"all":[53],"satisfied":[55],"by":[56],"nilpotent":[61],"hold":[63],"in":[64,73,122],"case.":[67],"This":[68],"quite":[70],"important":[71],"since":[72],"practice":[74],"we":[75],"only":[76],"work":[77],"objects.":[80],"Experimental":[81],"results":[82],"for":[83],"some":[84],"included.":[88],"They":[89],"compared":[91],"classical":[93],"algorithms":[95],"\u0141ukasiewicz":[99],"t-norm":[100],"umbra":[103],"approach,":[104],"idempotent":[112],"uninorms,":[113],"proving":[114],"they":[116],"suitable":[118],"be":[120],"used":[121],"edge":[123],"detection.":[124]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
