{"id":"https://openalex.org/W2080253716","doi":"https://doi.org/10.1016/0020-0255(92)90051-9","title":"Higher order fuzzy entropy and hybrid entropy of a set","display_name":"Higher order fuzzy entropy and hybrid entropy of a set","publication_year":1992,"publication_date":"1992-06-01","ids":{"openalex":"https://openalex.org/W2080253716","doi":"https://doi.org/10.1016/0020-0255(92)90051-9","mag":"2080253716"},"language":"en","primary_location":{"id":"doi:10.1016/0020-0255(92)90051-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0020-0255(92)90051-9","pdf_url":null,"source":{"id":"https://openalex.org/S192650101","display_name":"Information Sciences","issn_l":"0020-0255","issn":["0020-0255","1872-6291"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Sciences","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/A5103224090","display_name":"Nikhil R. Pal","orcid":"https://orcid.org/0000-0001-6935-901X"},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"N.R. Pal","raw_affiliation_strings":["Indian Statistical Institute, 203 B.T. Road, Calcutta 700 035, India","Indian Statistical Institute , 203, B.T. Road, Calcutta, 700 035, India"],"affiliations":[{"raw_affiliation_string":"Indian Statistical Institute, 203 B.T. Road, Calcutta 700 035, India","institution_ids":["https://openalex.org/I6498739"]},{"raw_affiliation_string":"Indian Statistical Institute , 203, B.T. Road, Calcutta, 700 035, India","institution_ids":["https://openalex.org/I6498739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037803714","display_name":"Sankar K. Pal","orcid":"https://orcid.org/0000-0003-3301-4751"},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S.K. Pal","raw_affiliation_strings":["Indian Statistical Institute, 203 B.T. Road, Calcutta 700 035, India","Indian Statistical Institute , 203, B.T. Road, Calcutta, 700 035, India"],"affiliations":[{"raw_affiliation_string":"Indian Statistical Institute, 203 B.T. Road, Calcutta 700 035, India","institution_ids":["https://openalex.org/I6498739"]},{"raw_affiliation_string":"Indian Statistical Institute , 203, B.T. Road, Calcutta, 700 035, India","institution_ids":["https://openalex.org/I6498739"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103224090"],"corresponding_institution_ids":["https://openalex.org/I6498739"],"apc_list":{"value":3330,"currency":"USD","value_usd":3330},"apc_paid":null,"fwci":5.5803,"has_fulltext":false,"cited_by_count":111,"citation_normalized_percentile":{"value":0.95813408,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"61","issue":"3","first_page":"211","last_page":"231"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9890000224113464,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9890000224113464,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9878000020980835,"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/T10320","display_name":"Neural Networks and Applications","score":0.9860000014305115,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5906323194503784},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5105735063552856},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.44317135214805603},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.434403657913208},{"id":"https://openalex.org/keywords/maximum-entropy-thermodynamics","display_name":"Maximum entropy thermodynamics","score":0.4298848509788513},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.42617374658584595},{"id":"https://openalex.org/keywords/joint-quantum-entropy","display_name":"Joint quantum entropy","score":0.4114741086959839},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40159133076667786},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.36762917041778564},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.3049374222755432},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24566158652305603},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.19368639588356018},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12894529104232788},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0519256591796875}],"concepts":[{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5906323194503784},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5105735063552856},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.44317135214805603},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.434403657913208},{"id":"https://openalex.org/C49775889","wikidata":"https://www.wikidata.org/wiki/Q6795896","display_name":"Maximum entropy thermodynamics","level":4,"score":0.4298848509788513},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.42617374658584595},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.4114741086959839},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40159133076667786},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.36762917041778564},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.3049374222755432},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24566158652305603},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.19368639588356018},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12894529104232788},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0519256591796875}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/0020-0255(92)90051-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0020-0255(92)90051-9","pdf_url":null,"source":{"id":"https://openalex.org/S192650101","display_name":"Information Sciences","issn_l":"0020-0255","issn":["0020-0255","1872-6291"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Sciences","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.431.3506","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.431.3506","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.isical.ac.in/~sankar/paper/65.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1965239040","https://openalex.org/W1972374607","https://openalex.org/W1976500994","https://openalex.org/W1978772218","https://openalex.org/W1995875735","https://openalex.org/W2009429046","https://openalex.org/W2038190934","https://openalex.org/W2040121225","https://openalex.org/W2041404167","https://openalex.org/W2993383518"],"related_works":["https://openalex.org/W2012183338","https://openalex.org/W3206579266","https://openalex.org/W1619097585","https://openalex.org/W2053566994","https://openalex.org/W2089951711","https://openalex.org/W2259778894","https://openalex.org/W3017803990","https://openalex.org/W2894433447","https://openalex.org/W2059242423","https://openalex.org/W2605000883"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}