{"id":"https://openalex.org/W4386850143","doi":"https://doi.org/10.3390/axioms12090890","title":"Ratio-Type Estimator for Estimating the Neutrosophic Population Mean in Simple Random Sampling under Intuitionistic Fuzzy Cost Function","display_name":"Ratio-Type Estimator for Estimating the Neutrosophic Population Mean in Simple Random Sampling under Intuitionistic Fuzzy Cost Function","publication_year":2023,"publication_date":"2023-09-18","ids":{"openalex":"https://openalex.org/W4386850143","doi":"https://doi.org/10.3390/axioms12090890"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12090890","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12090890","pdf_url":"https://www.mdpi.com/2075-1680/12/9/890/pdf?version=1695025645","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/12/9/890/pdf?version=1695025645","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072393463","display_name":"Atta Ullah","orcid":"https://orcid.org/0000-0002-0590-563X"},"institutions":[{"id":"https://openalex.org/I16076960","display_name":"COMSATS University Islamabad","ror":"https://ror.org/00nqqvk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960"]},{"id":"https://openalex.org/I12469534","display_name":"Quaid-i-Azam University","ror":"https://ror.org/04s9hft57","country_code":"PK","type":"education","lineage":["https://openalex.org/I12469534"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Atta Ullah","raw_affiliation_strings":["Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock 43600, Pakistan","Department of Statistics, Quaid-i-Azam Univesity, Islamabad 45320, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock 43600, Pakistan","institution_ids":["https://openalex.org/I16076960"]},{"raw_affiliation_string":"Department of Statistics, Quaid-i-Azam Univesity, Islamabad 45320, Pakistan","institution_ids":["https://openalex.org/I12469534"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076420598","display_name":"Javid Shabbir","orcid":"https://orcid.org/0000-0002-0035-7072"},"institutions":[{"id":"https://openalex.org/I12469534","display_name":"Quaid-i-Azam University","ror":"https://ror.org/04s9hft57","country_code":"PK","type":"education","lineage":["https://openalex.org/I12469534"]},{"id":"https://openalex.org/I192891849","display_name":"University of Wah","ror":"https://ror.org/020we4134","country_code":"PK","type":"education","lineage":["https://openalex.org/I192891849"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Javid Shabbir","raw_affiliation_strings":["Department of Statistics, Quaid-i-Azam Univesity, Islamabad 45320, Pakistan","Department of Statistics, University of Wah, Wah Cantt 47040, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Quaid-i-Azam Univesity, Islamabad 45320, Pakistan","institution_ids":["https://openalex.org/I12469534"]},{"raw_affiliation_string":"Department of Statistics, University of Wah, Wah Cantt 47040, Pakistan","institution_ids":["https://openalex.org/I192891849"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032461524","display_name":"Abdullah Alomair","orcid":null},"institutions":[{"id":"https://openalex.org/I4626487","display_name":"King Faisal University","ror":"https://ror.org/00dn43547","country_code":"SA","type":"education","lineage":["https://openalex.org/I4626487"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Abdullah Alomair","raw_affiliation_strings":["Department of Quantitative Methods, School of Business, King Faisal University, Al-Ahsa 31982, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Quantitative Methods, School of Business, King Faisal University, Al-Ahsa 31982, Saudi Arabia","institution_ids":["https://openalex.org/I4626487"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040091529","display_name":"Mohammed Alomair","orcid":null},"institutions":[{"id":"https://openalex.org/I4626487","display_name":"King Faisal University","ror":"https://ror.org/00dn43547","country_code":"SA","type":"education","lineage":["https://openalex.org/I4626487"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Mohammed Alomair","raw_affiliation_strings":["Department of Quantitative Methods, School of Business, King Faisal University, Al-Ahsa 31982, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Quantitative Methods, School of Business, King Faisal University, Al-Ahsa 31982, Saudi Arabia","institution_ids":["https://openalex.org/I4626487"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5032461524","https://openalex.org/A5072393463"],"corresponding_institution_ids":["https://openalex.org/I12469534","https://openalex.org/I16076960","https://openalex.org/I4626487"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.7058,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.85379704,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"12","issue":"9","first_page":"890","last_page":"890"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9789000153541565,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9789000153541565,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9771000146865845,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13030","display_name":"Survey Sampling and Estimation Techniques","score":0.972599983215332,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6828850507736206},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6479718089103699},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5834332704544067},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4558074474334717},{"id":"https://openalex.org/keywords/simple-random-sample","display_name":"Simple random sample","score":0.44097113609313965},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.3745393455028534},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28103625774383545},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2400335967540741}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6828850507736206},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6479718089103699},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5834332704544067},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4558074474334717},{"id":"https://openalex.org/C20353970","wikidata":"https://www.wikidata.org/wiki/Q1056998","display_name":"Simple random sample","level":3,"score":0.44097113609313965},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.3745393455028534},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28103625774383545},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2400335967540741},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms12090890","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12090890","pdf_url":"https://www.mdpi.com/2075-1680/12/9/890/pdf?version=1695025645","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:5d037a96cf9c43748ada886a245a80a2","is_oa":true,"landing_page_url":"https://doaj.org/article/5d037a96cf9c43748ada886a245a80a2","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":"Axioms, Vol 12, Iss 9, p 890 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms12090890","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12090890","pdf_url":"https://www.mdpi.com/2075-1680/12/9/890/pdf?version=1695025645","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Zero hunger","score":0.5699999928474426,"id":"https://metadata.un.org/sdg/2"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320331156","display_name":"King Faisal University","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4386850143.pdf","grobid_xml":"https://content.openalex.org/works/W4386850143.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1968835429","https://openalex.org/W2006772343","https://openalex.org/W2036169468","https://openalex.org/W2055864346","https://openalex.org/W2057217931","https://openalex.org/W2062448743","https://openalex.org/W2098458212","https://openalex.org/W2127356424","https://openalex.org/W2129341202","https://openalex.org/W2154367079","https://openalex.org/W2171171008","https://openalex.org/W2232426737","https://openalex.org/W2271330332","https://openalex.org/W2483675240","https://openalex.org/W2800806362","https://openalex.org/W3113158781","https://openalex.org/W3183201907","https://openalex.org/W3188965113","https://openalex.org/W4211007335","https://openalex.org/W4224287553","https://openalex.org/W4240278385","https://openalex.org/W4245152641","https://openalex.org/W4321064251","https://openalex.org/W4380372520","https://openalex.org/W4390571465","https://openalex.org/W6659416272","https://openalex.org/W6849124305"],"related_works":["https://openalex.org/W2171171008","https://openalex.org/W4367590714","https://openalex.org/W4307819175","https://openalex.org/W3043225335","https://openalex.org/W4297686948","https://openalex.org/W1988526522","https://openalex.org/W2132531707","https://openalex.org/W4292712310","https://openalex.org/W2332713331","https://openalex.org/W2990955382"],"abstract_inverted_index":{"Survey":[0],"sampling":[1],"has":[2],"a":[3,33,42,47,53,79,85,89],"wide":[4],"range":[5],"of":[6,29,55,69,111,122,148,165,173,192],"applications":[7],"in":[8,183],"biomedical,":[9],"meteorological,":[10],"stock":[11],"exchange,":[12],"marketing,":[13],"and":[14,38,58,72,135,154,170],"agricultural":[15],"research":[16,101],"based":[17],"on":[18],"data":[19,64],"collected":[20,27],"through":[21],"sample":[22,86,151],"surveys":[23],"or":[24],"experimentation.":[25],"The":[26,50,157],"set":[28],"information":[30],"may":[31],"have":[32,66],"fuzzy":[34,43,56,80,90,97],"nature,":[35],"be":[36,39],"indeterminate,":[37],"summarized":[40],"by":[41,94],"number":[44],"rather":[45,128],"than":[46,129,178],"crisp":[48],"value.":[49],"neutrosophic":[51,103,113,124,163,175,181],"statistics,":[52,60],"generalization":[54],"statistics":[57],"classical":[59],"deals":[61],"with":[62],"the":[63,108,112,119,123,131,145,161,174,179,189],"that":[65,160],"some":[67],"degree":[68],"indeterminacy,":[70],"imprecision,":[71],"fuzziness.":[73],"In":[74],"this":[75],"article,":[76],"we":[77],"introduce":[78],"decision-making":[81],"approach":[82],"for":[83,106],"deciding":[84],"size":[87,152],"under":[88],"measurement":[91],"cost":[92,98],"modeled":[93],"an":[95],"intuitionistic":[96],"function.":[99],"Our":[100],"introduces":[102],"ratio-type":[104],"estimators":[105,166,182],"estimating":[107],"population":[109,176],"mean":[110,177],"study":[114],"variable":[115,126],"YN\u2208[YL,YU]":[116],"utilizing":[117],"all":[118],"indeterminate":[120],"values":[121,133],"auxiliary":[125],"XN\u2208[XL,XU]":[127],"only":[130],"extreme":[132],"XL":[134],"XU.":[136],"Three":[137],"simulation":[138],"studies":[139],"are":[140],"carried":[141],"out":[142],"to":[143],"explain":[144],"proposed":[146,162],"methods":[147],"parameter":[149],"estimation,":[150],"determination,":[153],"efficiency":[155],"comparison.":[156],"results":[158],"reveal":[159],"class":[164],"produces":[167],"more":[168],"accurate":[169],"precise":[171],"estimates":[172],"existing":[180],"simple":[184],"random":[185],"sampling,":[186],"which":[187],"is":[188],"ultimate":[190],"goal":[191],"inferential":[193],"statistics.":[194]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}
