{"id":"https://openalex.org/W4220806273","doi":"https://doi.org/10.1007/s00500-022-06965-5","title":"Two different approaches for consistency of intuitionistic multiplicative preference relation using directed graph","display_name":"Two different approaches for consistency of intuitionistic multiplicative preference relation using directed graph","publication_year":2022,"publication_date":"2022-03-28","ids":{"openalex":"https://openalex.org/W4220806273","doi":"https://doi.org/10.1007/s00500-022-06965-5"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-022-06965-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-022-06965-5","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","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/A5055158155","display_name":"Mamata Sahu","orcid":null},"institutions":[{"id":"https://openalex.org/I4405260736","display_name":"Dayananda Sagar College of Engineering","ror":"https://ror.org/046qksq74","country_code":"IN","type":"education","lineage":["https://openalex.org/I4400573291","https://openalex.org/I4405260736"]},{"id":"https://openalex.org/I863896202","display_name":"Delhi Technological University","ror":"https://ror.org/01ztcvt22","country_code":"IN","type":"education","lineage":["https://openalex.org/I863896202"]},{"id":"https://openalex.org/I8977528","display_name":"Dr. Hari Singh Gour University","ror":"https://ror.org/01xapxe37","country_code":"IN","type":"education","lineage":["https://openalex.org/I8977528"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mamata Sahu","raw_affiliation_strings":["Department of Applied Mathematics, Delhi Technological University, Delhi, 110042, India","Department of Mathematics, Dayananda Sagar College of Engineering, Bengaluru, India","Department of Applied Mathematics, Delhi Technological University, Delhi, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Delhi Technological University, Delhi, 110042, India","institution_ids":["https://openalex.org/I863896202"]},{"raw_affiliation_string":"Department of Mathematics, Dayananda Sagar College of Engineering, Bengaluru, India","institution_ids":["https://openalex.org/I8977528","https://openalex.org/I4405260736"]},{"raw_affiliation_string":"Department of Applied Mathematics, Delhi Technological University, Delhi, India","institution_ids":["https://openalex.org/I863896202"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067640234","display_name":"Anjana Gupta","orcid":"https://orcid.org/0000-0002-6514-0851"},"institutions":[{"id":"https://openalex.org/I863896202","display_name":"Delhi Technological University","ror":"https://ror.org/01ztcvt22","country_code":"IN","type":"education","lineage":["https://openalex.org/I863896202"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Anjana Gupta","raw_affiliation_strings":["Department of Applied Mathematics, Delhi Technological University, Delhi, 110042, India","Department of Applied Mathematics, Delhi Technological University, Delhi, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Delhi Technological University, Delhi, 110042, India","institution_ids":["https://openalex.org/I863896202"]},{"raw_affiliation_string":"Department of Applied Mathematics, Delhi Technological University, Delhi, India","institution_ids":["https://openalex.org/I863896202"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5067640234"],"corresponding_institution_ids":["https://openalex.org/I863896202"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.6533,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.70167872,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"26","issue":"10","first_page":"4653","last_page":"4671"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","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/T10050","display_name":"Multi-Criteria Decision Making","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/T11106","display_name":"Data Management and Algorithms","score":0.9934999942779541,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.989300012588501,"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/multiplicative-function","display_name":"Multiplicative function","score":0.7972105741500854},{"id":"https://openalex.org/keywords/preference-relation","display_name":"Preference relation","score":0.785515308380127},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.7365629076957703},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.7154819965362549},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5054271221160889},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.49657708406448364},{"id":"https://openalex.org/keywords/local-consistency","display_name":"Local consistency","score":0.4896472096443176},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.487693190574646},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4786721169948578},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.45514020323753357},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.4470674991607666},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41964563727378845},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.32544225454330444},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.25519970059394836},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24277442693710327},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.23467016220092773},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11653098464012146},{"id":"https://openalex.org/keywords/constraint-satisfaction-problem","display_name":"Constraint satisfaction problem","score":0.09674778580665588},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.09181845188140869}],"concepts":[{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.7972105741500854},{"id":"https://openalex.org/C2777062324","wikidata":"https://www.wikidata.org/wiki/Q25036211","display_name":"Preference relation","level":3,"score":0.785515308380127},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.7365629076957703},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.7154819965362549},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5054271221160889},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.49657708406448364},{"id":"https://openalex.org/C137105694","wikidata":"https://www.wikidata.org/wiki/Q3407510","display_name":"Local consistency","level":4,"score":0.4896472096443176},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.487693190574646},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4786721169948578},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.45514020323753357},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.4470674991607666},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41964563727378845},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.32544225454330444},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.25519970059394836},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24277442693710327},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.23467016220092773},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11653098464012146},{"id":"https://openalex.org/C199622910","wikidata":"https://www.wikidata.org/wiki/Q1128326","display_name":"Constraint satisfaction problem","level":3,"score":0.09674778580665588},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.09181845188140869},{"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/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"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:10.1007/s00500-022-06965-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-022-06965-5","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8100000023841858,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1458841637","https://openalex.org/W1964109105","https://openalex.org/W1977311377","https://openalex.org/W1982675899","https://openalex.org/W1983069706","https://openalex.org/W2003579441","https://openalex.org/W2020407132","https://openalex.org/W2047161103","https://openalex.org/W2052366812","https://openalex.org/W2058341526","https://openalex.org/W2063692924","https://openalex.org/W2065095840","https://openalex.org/W2066706286","https://openalex.org/W2087997162","https://openalex.org/W2116080612","https://openalex.org/W2129521002","https://openalex.org/W2137911902","https://openalex.org/W2145906330","https://openalex.org/W2152788100","https://openalex.org/W2512038629","https://openalex.org/W2528793344","https://openalex.org/W2547978614","https://openalex.org/W2591222206","https://openalex.org/W2790076719","https://openalex.org/W2791971537","https://openalex.org/W2889184531","https://openalex.org/W2890016748","https://openalex.org/W2969947121","https://openalex.org/W4245699803"],"related_works":["https://openalex.org/W2363894800","https://openalex.org/W4287173569","https://openalex.org/W4205262062","https://openalex.org/W2408137423","https://openalex.org/W2022533988","https://openalex.org/W2096290915","https://openalex.org/W2790208073","https://openalex.org/W2016410556","https://openalex.org/W1595663582","https://openalex.org/W3122913338"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}