{"id":"https://openalex.org/W2941826975","doi":"https://doi.org/10.1109/access.2019.2910844","title":"New Operations on Interval-Valued Picture Fuzzy Set, Interval-Valued Picture Fuzzy Soft Set and Their Applications","display_name":"New Operations on Interval-Valued Picture Fuzzy Set, Interval-Valued Picture Fuzzy Soft Set and Their Applications","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2941826975","doi":"https://doi.org/10.1109/access.2019.2910844","mag":"2941826975"},"language":"en","primary_location":{"id":"doi:10.1109/access.2019.2910844","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2910844","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08689005.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08689005.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086954997","display_name":"Ahmed Mostafa Khalil","orcid":"https://orcid.org/0000-0001-8553-2054"},"institutions":[{"id":"https://openalex.org/I88830068","display_name":"Shaanxi Normal University","ror":"https://ror.org/0170z8493","country_code":"CN","type":"education","lineage":["https://openalex.org/I88830068"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ahmed Mostafa Khalil","raw_affiliation_strings":["College of Mathematics and Information Science, Shaanxi Normal University, Xi\u2019an, China","College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0001-8553-2054","affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Shaanxi Normal University, Xi\u2019an, China","institution_ids":["https://openalex.org/I88830068"]},{"raw_affiliation_string":"College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, China","institution_ids":["https://openalex.org/I88830068"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102968426","display_name":"Sheng-Gang Li","orcid":"https://orcid.org/0000-0003-2998-726X"},"institutions":[{"id":"https://openalex.org/I88830068","display_name":"Shaanxi Normal University","ror":"https://ror.org/0170z8493","country_code":"CN","type":"education","lineage":["https://openalex.org/I88830068"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sheng-Gang Li","raw_affiliation_strings":["College of Mathematics and Information Science, Shaanxi Normal University, Xi\u2019an, China","College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Shaanxi Normal University, Xi\u2019an, China","institution_ids":["https://openalex.org/I88830068"]},{"raw_affiliation_string":"College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, China","institution_ids":["https://openalex.org/I88830068"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054194585","display_name":"Harish Garg","orcid":"https://orcid.org/0000-0001-9099-8422"},"institutions":[{"id":"https://openalex.org/I162030827","display_name":"Thapar Institute of Engineering & Technology","ror":"https://ror.org/00wdq3744","country_code":"IN","type":"education","lineage":["https://openalex.org/I162030827"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Harish Garg","raw_affiliation_strings":["School of Mathematics, Thapar Institute of Engineering & Technology, Patiala, India"],"raw_orcid":"https://orcid.org/0000-0001-9099-8422","affiliations":[{"raw_affiliation_string":"School of Mathematics, Thapar Institute of Engineering & Technology, Patiala, India","institution_ids":["https://openalex.org/I162030827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100383791","display_name":"Hongxia Li","orcid":"https://orcid.org/0000-0002-6475-0906"},"institutions":[{"id":"https://openalex.org/I3132882781","display_name":"Longdong University","ror":"https://ror.org/03wcn4h12","country_code":"CN","type":"education","lineage":["https://openalex.org/I3132882781"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongxia Li","raw_affiliation_strings":["School of Mathematics and Statistics, Longdong University, Qingyang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Longdong University, Qingyang, China","institution_ids":["https://openalex.org/I3132882781"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101145229","display_name":"Sheng-Quan Ma","orcid":null},"institutions":[{"id":"https://openalex.org/I152033890","display_name":"Hainan Normal University","ror":"https://ror.org/031dhcv14","country_code":"CN","type":"education","lineage":["https://openalex.org/I152033890"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shengquan Ma","raw_affiliation_strings":["College of Information Science and Technology, Hainan Normal University, Haikou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Technology, Hainan Normal University, Haikou, China","institution_ids":["https://openalex.org/I152033890"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":11.5827,"has_fulltext":true,"cited_by_count":119,"citation_normalized_percentile":{"value":0.98784501,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"7","issue":null,"first_page":"51236","last_page":"51253"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9940000176429749,"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":0.9940000176429749,"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/interval","display_name":"Interval (graph theory)","score":0.6604712009429932},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.6371758580207825},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5873808860778809},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5377531051635742},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.49889373779296875},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37992507219314575},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3479037284851074},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32157236337661743},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09833395481109619}],"concepts":[{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6604712009429932},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.6371758580207825},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5873808860778809},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5377531051635742},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.49889373779296875},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37992507219314575},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3479037284851074},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32157236337661743},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09833395481109619},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2019.2910844","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2910844","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08689005.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:46078579549a4e56987aac5ac96b9ca1","is_oa":true,"landing_page_url":"https://doaj.org/article/46078579549a4e56987aac5ac96b9ca1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 7, Pp 51236-51253 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2019.2910844","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2910844","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08689005.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.8100000023841858,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G163531787","display_name":null,"funder_award_id":"2018CBY001","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G1730156391","display_name":null,"funder_award_id":"2018CBLY001","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G1804066553","display_name":null,"funder_award_id":"11771263","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8173227029","display_name":null,"funder_award_id":"11641002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2941826975.pdf","grobid_xml":"https://content.openalex.org/works/W2941826975.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W1579202048","https://openalex.org/W1910258684","https://openalex.org/W1969937417","https://openalex.org/W1975727126","https://openalex.org/W1978352585","https://openalex.org/W1980564456","https://openalex.org/W1981715766","https://openalex.org/W1982907249","https://openalex.org/W1983286635","https://openalex.org/W1993722929","https://openalex.org/W2041157997","https://openalex.org/W2069754181","https://openalex.org/W2076808107","https://openalex.org/W2082088296","https://openalex.org/W2121702870","https://openalex.org/W2132723814","https://openalex.org/W2155976821","https://openalex.org/W2220102513","https://openalex.org/W2227639304","https://openalex.org/W2263787491","https://openalex.org/W2295963161","https://openalex.org/W2345405682","https://openalex.org/W2460369835","https://openalex.org/W2473413689","https://openalex.org/W2526387870","https://openalex.org/W2526675547","https://openalex.org/W2540140736","https://openalex.org/W2624112931","https://openalex.org/W2732674005","https://openalex.org/W2756350556","https://openalex.org/W2769271276","https://openalex.org/W2784775847","https://openalex.org/W2794272320","https://openalex.org/W2795405089","https://openalex.org/W2797565471","https://openalex.org/W2809266330","https://openalex.org/W2883099413","https://openalex.org/W2890236549","https://openalex.org/W2895986329","https://openalex.org/W2912392110","https://openalex.org/W2912849930","https://openalex.org/W2918738825","https://openalex.org/W3100885343","https://openalex.org/W4211007335","https://openalex.org/W4292078529","https://openalex.org/W6645914205","https://openalex.org/W6693091319","https://openalex.org/W6745844440"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2181413294","https://openalex.org/W2989452537","https://openalex.org/W2052122378","https://openalex.org/W2544423928","https://openalex.org/W2062023542"],"abstract_inverted_index":{"An":[0],"interval-valued":[1,13,53,82,99],"picture":[2,54,83,100],"fuzzy":[3,14,55,84,101],"set":[4,15,57,86,103],"(IVPFS)":[5],"is":[6,30,126],"one":[7],"of":[8,11,27,37,51],"the":[9,18,21,49,52,81,106,118,123,132,135],"generalizations":[10],"an":[12,95,98],"to":[16,31,104,130],"handle":[17,131],"uncertainties":[19,133],"in":[20,128],"data":[22],"during":[23,134],"analysis.":[24],"The":[25],"aim":[26],"this":[28],"paper":[29],"introduce":[32],"and":[33,43,59,76,87,109],"study":[34],"new":[35],"operations":[36,64],"IVPFS,":[38],"along":[39],"with":[40],"its":[41,111],"properties,":[42],"examples.":[44],"In":[45],"addition,":[46],"we":[47,93,120],"present":[48],"notion":[50],"soft":[56,85,102],"theory":[58],"investigated":[60],"their":[61,89],"properties.":[62,91],"Several":[63],"on":[65],"such":[66],"as":[67],"subset,":[68],"equal,":[69],"complement,":[70],"inf":[71],"product,":[72,74],"sup":[73],"union,":[75],"intersection":[77],"are":[78],"defined":[79],"over":[80],"discussed":[88],"basic":[90],"Furthermore,":[92],"construct":[94],"algorithm":[96],"using":[97],"solve":[105],"decision-making":[107,136],"problems":[108],"illustrate":[110],"applicability":[112],"through":[113],"a":[114],"numerical":[115],"example.":[116],"From":[117],"study,":[119],"conclude":[121],"that":[122],"proposed":[124],"approach":[125],"viable":[127],"order":[129],"problems.":[137]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":13},{"year":2024,"cited_by_count":19},{"year":2023,"cited_by_count":19},{"year":2022,"cited_by_count":16},{"year":2021,"cited_by_count":21},{"year":2020,"cited_by_count":22},{"year":2019,"cited_by_count":6}],"updated_date":"2026-07-25T09:21:30.201066","created_date":"2025-10-10T00:00:00"}
