{"id":"https://openalex.org/W2979482047","doi":"https://doi.org/10.1109/fuzz-ieee.2019.8858802","title":"Linear Order Statistic Neuron","display_name":"Linear Order Statistic Neuron","publication_year":2019,"publication_date":"2019-06-01","ids":{"openalex":"https://openalex.org/W2979482047","doi":"https://doi.org/10.1109/fuzz-ieee.2019.8858802","mag":"2979482047"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz-ieee.2019.8858802","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2019.8858802","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5053850871","display_name":"Charlie Veal","orcid":null},"institutions":[{"id":"https://openalex.org/I76835614","display_name":"University of Missouri","ror":"https://ror.org/02ymw8z06","country_code":"US","type":"education","lineage":["https://openalex.org/I76835614"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Charlie Veal","raw_affiliation_strings":["Electrical Engineering and Computer Science Department, University of Missouri, Columbia, MO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering and Computer Science Department, University of Missouri, Columbia, MO, USA","institution_ids":["https://openalex.org/I76835614"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108539576","display_name":"Alex Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I76835614","display_name":"University of Missouri","ror":"https://ror.org/02ymw8z06","country_code":"US","type":"education","lineage":["https://openalex.org/I76835614"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alex Yang","raw_affiliation_strings":["Electrical Engineering and Computer Science Department, University of Missouri, Columbia, MO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering and Computer Science Department, University of Missouri, Columbia, MO, USA","institution_ids":["https://openalex.org/I76835614"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015011309","display_name":"Alex Hurt","orcid":null},"institutions":[{"id":"https://openalex.org/I76835614","display_name":"University of Missouri","ror":"https://ror.org/02ymw8z06","country_code":"US","type":"education","lineage":["https://openalex.org/I76835614"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alex Hurt","raw_affiliation_strings":["Electrical Engineering and Computer Science Department, University of Missouri, Columbia, MO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering and Computer Science Department, University of Missouri, Columbia, MO, USA","institution_ids":["https://openalex.org/I76835614"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080519665","display_name":"Muhammad Aminul Islam","orcid":"https://orcid.org/0000-0002-6221-3090"},"institutions":[{"id":"https://openalex.org/I76835614","display_name":"University of Missouri","ror":"https://ror.org/02ymw8z06","country_code":"US","type":"education","lineage":["https://openalex.org/I76835614"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Muhammad Aminul Islam","raw_affiliation_strings":["Electrical Engineering and Computer Science Department, University of Missouri, Columbia, MO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering and Computer Science Department, University of Missouri, Columbia, MO, USA","institution_ids":["https://openalex.org/I76835614"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076164452","display_name":"Derek T. Anderson","orcid":"https://orcid.org/0000-0003-4909-029X"},"institutions":[{"id":"https://openalex.org/I76835614","display_name":"University of Missouri","ror":"https://ror.org/02ymw8z06","country_code":"US","type":"education","lineage":["https://openalex.org/I76835614"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Derek T. Anderson","raw_affiliation_strings":["Electrical Engineering and Computer Science Department, University of Missouri, Columbia, MO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering and Computer Science Department, University of Missouri, Columbia, MO, USA","institution_ids":["https://openalex.org/I76835614"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051712346","display_name":"Grant J. Scott","orcid":"https://orcid.org/0000-0001-5870-9387"},"institutions":[{"id":"https://openalex.org/I76835614","display_name":"University of Missouri","ror":"https://ror.org/02ymw8z06","country_code":"US","type":"education","lineage":["https://openalex.org/I76835614"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Grant Scott","raw_affiliation_strings":["Electrical Engineering and Computer Science Department, University of Missouri, Columbia, MO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering and Computer Science Department, University of Missouri, Columbia, MO, USA","institution_ids":["https://openalex.org/I76835614"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018303984","display_name":"James M. Keller","orcid":"https://orcid.org/0000-0002-0306-7142"},"institutions":[{"id":"https://openalex.org/I76835614","display_name":"University of Missouri","ror":"https://ror.org/02ymw8z06","country_code":"US","type":"education","lineage":["https://openalex.org/I76835614"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"James M Keller","raw_affiliation_strings":["Electrical Engineering and Computer Science Department, University of Missouri, Columbia, MO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering and Computer Science Department, University of Missouri, Columbia, MO, USA","institution_ids":["https://openalex.org/I76835614"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060923133","display_name":"Timothy C. Havens","orcid":"https://orcid.org/0000-0002-5746-3749"},"institutions":[{"id":"https://openalex.org/I11957088","display_name":"Michigan Technological University","ror":"https://ror.org/0036rpn28","country_code":"US","type":"education","lineage":["https://openalex.org/I11957088"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Timothy C. Havens","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Michigan Technological University, Houghton, MI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Michigan Technological University, Houghton, MI, USA","institution_ids":["https://openalex.org/I11957088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074257864","display_name":"Bo Tang","orcid":"https://orcid.org/0000-0001-5708-766X"},"institutions":[{"id":"https://openalex.org/I99041443","display_name":"Mississippi State University","ror":"https://ror.org/0432jq872","country_code":"US","type":"education","lineage":["https://openalex.org/I4210141039","https://openalex.org/I99041443"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bo Tang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Mississippi State University, Starkville, MS, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Mississippi State University, Starkville, MS, USA","institution_ids":["https://openalex.org/I99041443"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10057","display_name":"Face and Expression Recognition","score":0.9865999817848206,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/statistic","display_name":"Statistic","score":0.6637738943099976},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6396102905273438},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5744383335113525},{"id":"https://openalex.org/keywords/perceptron","display_name":"Perceptron","score":0.5722010731697083},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5552268028259277},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5525720119476318},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.48680660128593445},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.4801439940929413},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.45764464139938354},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4434627294540405},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40719735622406006},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2953541576862335},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10335230827331543}],"concepts":[{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.6637738943099976},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6396102905273438},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5744383335113525},{"id":"https://openalex.org/C60908668","wikidata":"https://www.wikidata.org/wiki/Q690207","display_name":"Perceptron","level":3,"score":0.5722010731697083},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5552268028259277},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5525720119476318},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.48680660128593445},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.4801439940929413},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.45764464139938354},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4434627294540405},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40719735622406006},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2953541576862335},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10335230827331543},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/fuzz-ieee.2019.8858802","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2019.8858802","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"},{"id":"pmh:oai:digitalcommons.mtu.edu:michigantech-p-1919","is_oa":false,"landing_page_url":"https://digitalcommons.mtu.edu/michigantech-p/931","pdf_url":null,"source":{"id":"https://openalex.org/S4377196391","display_name":"Digital Commons - Michigan Tech (Michigan Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I11957088","host_organization_name":"Michigan Technological University","host_organization_lineage":["https://openalex.org/I11957088"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Michigan Tech Publications, Part 1","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W120161273","https://openalex.org/W1995341919","https://openalex.org/W2013526887","https://openalex.org/W2040870580","https://openalex.org/W2060907774","https://openalex.org/W2062167100","https://openalex.org/W2107305286","https://openalex.org/W2159033850","https://openalex.org/W2165878760","https://openalex.org/W2194775991","https://openalex.org/W2531409750","https://openalex.org/W2588561483","https://openalex.org/W2750239752","https://openalex.org/W2808436940","https://openalex.org/W2964081807","https://openalex.org/W4238276956","https://openalex.org/W6633032110","https://openalex.org/W6687483927","https://openalex.org/W6728184133","https://openalex.org/W6741414320"],"related_works":["https://openalex.org/W2359776416","https://openalex.org/W2371138613","https://openalex.org/W2048963458","https://openalex.org/W2353788488","https://openalex.org/W43109613","https://openalex.org/W2359952343","https://openalex.org/W2080152487","https://openalex.org/W2082756648","https://openalex.org/W2239445980","https://openalex.org/W2065370636"],"abstract_inverted_index":{"Herein,":[0],"a":[1],"generalization":[2],"of":[3,48,63],"the":[4,41,49,55,85],"ordered":[5],"weighted":[6],"average":[7],"(OWA)":[8],"is":[9,23,53,57],"put":[10],"forth":[11],"relative":[12,66],"to":[13,67,75,82],"pattern":[14],"recognition.":[15],"The":[16],"resultant":[17],"linear":[18],"order":[19],"statistic":[20],"neuron":[21],"(LOSN)":[22],"unique":[24],"in":[25],"that":[26,54],"it":[27],"bridges":[28],"fuzzy":[29,32],"sets,":[30],"specifically":[31],"data/information":[33],"aggregation,":[34],"with":[35],"neural":[36],"networks.":[37],"This":[38],"article":[39],"discusses":[40],"gradient":[42],"descent-based":[43],"optimization":[44],"and":[45,87],"geometric":[46,91],"interpretation":[47],"LOSN.":[50],"An":[51],"advantage":[52],"LOSN":[56],"an":[58],"efficient":[59],"shared":[60],"weight":[61],"encoding":[62],"N!":[64],"perceptrons,":[65],"N":[68],"inputs.":[69],"Open":[70],"source":[71],"codes":[72],"are":[73,80],"provided":[74],"facilitate":[76],"reproducible":[77],"research.":[78],"Experiments":[79],"conducted":[81],"both":[83],"validate":[84],"method":[86],"show":[88],"its":[89],"non-linear":[90],"expression.":[92]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}