{"id":"https://openalex.org/W2755045416","doi":"https://doi.org/10.1007/s00500-017-2824-z","title":"On separating axioms and similarity of soft topological spaces","display_name":"On separating axioms and similarity of soft topological spaces","publication_year":2017,"publication_date":"2017-09-12","ids":{"openalex":"https://openalex.org/W2755045416","doi":"https://doi.org/10.1007/s00500-017-2824-z","mag":"2755045416"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-017-2824-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00500-017-2824-z","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs00500-017-2824-z.pdf","source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007%2Fs00500-017-2824-z.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055263882","display_name":"Ma\u0142gorzata Terepeta","orcid":"https://orcid.org/0000-0001-5561-3398"},"institutions":[{"id":"https://openalex.org/I188884621","display_name":"Lodz University of Technology","ror":"https://ror.org/00s8fpf52","country_code":"PL","type":"education","lineage":["https://openalex.org/I188884621"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Ma\u0142gorzata Terepeta","raw_affiliation_strings":["Center of Mathematics and Physics, \u0141\u00f3d\u017a University of Technology, al. Politechniki 11, 90-924, \u0141\u00f3d\u017a, Poland"],"affiliations":[{"raw_affiliation_string":"Center of Mathematics and Physics, \u0141\u00f3d\u017a University of Technology, al. Politechniki 11, 90-924, \u0141\u00f3d\u017a, Poland","institution_ids":["https://openalex.org/I188884621"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5055263882"],"corresponding_institution_ids":["https://openalex.org/I188884621"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":2.0666,"has_fulltext":true,"cited_by_count":77,"citation_normalized_percentile":{"value":0.88058259,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"23","issue":"3","first_page":"1049","last_page":"1057"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9897000193595886,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.7345436811447144},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.6857283115386963},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6529181599617004},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6103262305259705},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.5516928434371948},{"id":"https://openalex.org/keywords/separation-axiom","display_name":"Separation axiom","score":0.5287786722183228},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5142855048179626},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.4950351119041443},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.43196696043014526},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3841761350631714},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3219798505306244},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.31414178013801575},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20008927583694458},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.11473017930984497},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07973837852478027},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05587249994277954}],"concepts":[{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.7345436811447144},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.6857283115386963},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6529181599617004},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6103262305259705},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.5516928434371948},{"id":"https://openalex.org/C40409056","wikidata":"https://www.wikidata.org/wiki/Q1140985","display_name":"Separation axiom","level":3,"score":0.5287786722183228},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5142855048179626},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.4950351119041443},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.43196696043014526},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3841761350631714},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3219798505306244},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.31414178013801575},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20008927583694458},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.11473017930984497},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07973837852478027},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05587249994277954},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00500-017-2824-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00500-017-2824-z","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs00500-017-2824-z.pdf","source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00500-017-2824-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00500-017-2824-z","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs00500-017-2824-z.pdf","source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2755045416.pdf","grobid_xml":"https://content.openalex.org/works/W2755045416.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1438316203","https://openalex.org/W1978131418","https://openalex.org/W1978352585","https://openalex.org/W1997282640","https://openalex.org/W2023769726","https://openalex.org/W2050808617","https://openalex.org/W2052786600","https://openalex.org/W2069754181","https://openalex.org/W2083267403","https://openalex.org/W2114976038","https://openalex.org/W3190941578","https://openalex.org/W4211007335","https://openalex.org/W4213100037"],"related_works":["https://openalex.org/W1499671889","https://openalex.org/W1539956936","https://openalex.org/W3200389883","https://openalex.org/W2624024988","https://openalex.org/W1558169942","https://openalex.org/W2099088007","https://openalex.org/W2056664771","https://openalex.org/W2613195666","https://openalex.org/W2011502444","https://openalex.org/W3199798165"],"abstract_inverted_index":{"We":[0,86],"will":[1],"consider":[2,118],"soft":[3,22,38,54,63,93],"topologies":[4,23,30,64],"defined":[5,31],"on":[6,32,70],"the":[7,14,28,76,99,110,119],"same":[8],"universe":[9],"X":[10,71],"with":[11],"E":[12],"as":[13],"set":[15],"of":[16,51,53,91,101,121],"parameters.":[17],"It":[18],"is":[19,57],"shown":[20],"that":[21],"are":[24,41,72,83],"not":[25],"equivalent":[26],"to":[27],"general":[29],"X.":[33],"Moreover,":[34],"some":[35,88],"implications":[36],"between":[37,112],"separating":[39],"axioms":[40],"different":[42],"than":[43],"those":[44],"for":[45],"ordinary":[46],"topological":[47,55,94],"spaces.":[48],"The":[49,62],"relation":[50],"similarity":[52,113,120],"spaces":[56,104],"also":[58],"introduced":[59],"and":[60,67,80,114,117],"examined.":[61],"$${\\mathcal":[65,68,78,81],"{T}}_{1}$$":[66,79],"{T}}_{2}$$":[69,82],"called":[73],"similar,":[74],"if":[75],"families":[77],"mutually":[84],"coinitial.":[85],"study":[87],"basic":[89],"properties":[90],"similar":[92],"spaces:":[95],"we":[96,108],"check":[97],"whether":[98],"family":[100],"all":[102],"such":[103],"forms":[105],"a":[106],"lattice,":[107],"examine":[109],"relationship":[111],"being":[115],"homeomorphic":[116],"e-parameterized":[122],"topologies.":[123]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":16},{"year":2022,"cited_by_count":23},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}