{"id":"https://openalex.org/W2338445897","doi":"https://doi.org/10.3233/ifs-162116","title":"Complex vague soft sets and its distance measures","display_name":"Complex vague soft sets and its distance measures","publication_year":2016,"publication_date":"2016-06-13","ids":{"openalex":"https://openalex.org/W2338445897","doi":"https://doi.org/10.3233/ifs-162116","mag":"2338445897"},"language":"en","primary_location":{"id":"doi:10.3233/ifs-162116","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-162116","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","raw_type":"journal-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/A5070517330","display_name":"Ganeshsree Selvachandran","orcid":"https://orcid.org/0000-0001-7161-2109"},"institutions":[{"id":"https://openalex.org/I55285296","display_name":"UCSI University","ror":"https://ror.org/019787q29","country_code":"MY","type":"education","lineage":["https://openalex.org/I55285296"]}],"countries":["MY"],"is_corresponding":true,"raw_author_name":"Ganeshsree Selvachandran","raw_affiliation_strings":["Department of Actuarial Science and Applied Statistics, Faculty of Business and Information Science, UCSI University, Jalan Menara Gading, Cheras, Kuala Lumpur, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Actuarial Science and Applied Statistics, Faculty of Business and Information Science, UCSI University, Jalan Menara Gading, Cheras, Kuala Lumpur, Malaysia","institution_ids":["https://openalex.org/I55285296"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004845851","display_name":"Pabitra Kumar Maji","orcid":"https://orcid.org/0000-0001-8216-3361"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"P.K. Maji","raw_affiliation_strings":["Deparment of Mathematics, B.C. College, Asansol, West Bengal, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Deparment of Mathematics, B.C. College, Asansol, West Bengal, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059439913","display_name":"Israa E. Abed","orcid":null},"institutions":[{"id":"https://openalex.org/I885383172","display_name":"National University of Malaysia","ror":"https://ror.org/00bw8d226","country_code":"MY","type":"education","lineage":["https://openalex.org/I885383172"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Israa E. Abed","raw_affiliation_strings":["School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi, Selangor Darul Ehsan, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi, Selangor Darul Ehsan, Malaysia","institution_ids":["https://openalex.org/I885383172"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112272826","display_name":"Abdul Razak Salleh","orcid":"https://orcid.org/0009-0006-5973-4633"},"institutions":[{"id":"https://openalex.org/I885383172","display_name":"National University of Malaysia","ror":"https://ror.org/00bw8d226","country_code":"MY","type":"education","lineage":["https://openalex.org/I885383172"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Abdul Razak Salleh","raw_affiliation_strings":["School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi, Selangor Darul Ehsan, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi, Selangor Darul Ehsan, Malaysia","institution_ids":["https://openalex.org/I885383172"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070517330"],"corresponding_institution_ids":["https://openalex.org/I55285296"],"apc_list":null,"apc_paid":null,"fwci":10.846,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.98355772,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"31","issue":"1","first_page":"55","last_page":"68"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9995999932289124,"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":0.9995999932289124,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9821000099182129,"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":0.9713000059127808,"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/intersection","display_name":"Intersection (aeronautics)","score":0.7472043633460999},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6856604814529419},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.6482982635498047},{"id":"https://openalex.org/keywords/soft-set","display_name":"Soft set","score":0.6396377682685852},{"id":"https://openalex.org/keywords/axiomatic-system","display_name":"Axiomatic system","score":0.5446542501449585},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4886317849159241},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4850970506668091},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44309818744659424},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.42598646879196167},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.27240467071533203},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.20586982369422913}],"concepts":[{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.7472043633460999},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6856604814529419},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.6482982635498047},{"id":"https://openalex.org/C2777037408","wikidata":"https://www.wikidata.org/wiki/Q4310193","display_name":"Soft set","level":3,"score":0.6396377682685852},{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.5446542501449585},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4886317849159241},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4850970506668091},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44309818744659424},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.42598646879196167},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27240467071533203},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.20586982369422913},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/ifs-162116","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-162116","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4699999988079071}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1520667895","https://openalex.org/W1973850601","https://openalex.org/W1978352585","https://openalex.org/W1986562360","https://openalex.org/W2007284387","https://openalex.org/W2011023980","https://openalex.org/W2012575173","https://openalex.org/W2027220547","https://openalex.org/W2039431840","https://openalex.org/W2049193003","https://openalex.org/W2056021265","https://openalex.org/W2065397160","https://openalex.org/W2081028846","https://openalex.org/W2094208309","https://openalex.org/W2097403045","https://openalex.org/W2144101552","https://openalex.org/W2263787491","https://openalex.org/W2293737317","https://openalex.org/W2584703162","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W6693091319"],"related_works":["https://openalex.org/W2962692142","https://openalex.org/W1771651560","https://openalex.org/W4300725361","https://openalex.org/W2386897142","https://openalex.org/W1605727975","https://openalex.org/W4232127999","https://openalex.org/W1640180556","https://openalex.org/W329313523","https://openalex.org/W2262032878","https://openalex.org/W2116374711"],"abstract_inverted_index":{"In":[0],"this":[1,24,33,58],"paper,":[2],"we":[3,27],"propose":[4],"the":[5,42,62,71,75,98],"concept":[6,26,59],"of":[7,74,97,101],"complex":[8,20,80,91],"vague":[9,14,81,92],"soft":[10,15,82,93],"sets":[11,16,83],"which":[12],"are":[13,66,105],"defined":[17],"in":[18],"a":[19],"setting.":[21],"Based":[22],"on":[23],"new":[25],"define":[28,86],"some":[29,38,96],"concepts":[30],"related":[31],"to":[32,57],"notion":[34],"as":[35,37,61],"well":[36],"basic":[39,50],"operations":[40],"namely":[41],"complement,":[43],"union,":[44],"intersection,":[45],"AND":[46],"and":[47,53,84],"OR.":[48],"The":[49],"proper":[51],"ties":[52],"relevant":[54],"laws":[55,65],"pertaining":[56],"such":[60],"De":[63],"Morgan\u2019s":[64],"also":[67],"verified.":[68,106],"We":[69],"introduce":[70],"axiomatic":[72],"definition":[73],"distance":[76,88,103],"function":[77],"between":[78,90],"two":[79],"subsequently":[85],"several":[87],"measures":[89,104],"sets.":[94],"Finally":[95],"algebraic":[99],"properties":[100],"these":[102]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":13},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
