{"id":"https://openalex.org/W4382338938","doi":"https://doi.org/10.3390/sym15051044","title":"A Complete Breakdown of Politics Coverage Using the Concept of Domination and Double Domination in Picture Fuzzy Graph","display_name":"A Complete Breakdown of Politics Coverage Using the Concept of Domination and Double Domination in Picture Fuzzy Graph","publication_year":2023,"publication_date":"2023-05-08","ids":{"openalex":"https://openalex.org/W4382338938","doi":"https://doi.org/10.3390/sym15051044"},"language":"en","primary_location":{"id":"doi:10.3390/sym15051044","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15051044","pdf_url":"https://www.mdpi.com/2073-8994/15/5/1044/pdf?version=1685107764","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/15/5/1044/pdf?version=1685107764","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055781248","display_name":"Rashad Ismail","orcid":"https://orcid.org/0000-0002-7080-3824"},"institutions":[{"id":"https://openalex.org/I78137547","display_name":"Ibb University","ror":"https://ror.org/00fhcxc56","country_code":"YE","type":"education","lineage":["https://openalex.org/I78137547"]},{"id":"https://openalex.org/I82952536","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30","country_code":"SA","type":"education","lineage":["https://openalex.org/I82952536"]}],"countries":["SA","YE"],"is_corresponding":false,"raw_author_name":"Rashad Ismail","raw_affiliation_strings":["Department of Mathematics and Computer, Faculty of Science, Ibb University, Ibb 70270, Yemen","Department of Mathematics, Faculty of Science and Arts, Muhayl Assir, King Khalid University, Abha 61421, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-7080-3824","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer, Faculty of Science, Ibb University, Ibb 70270, Yemen","institution_ids":["https://openalex.org/I78137547"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Arts, Muhayl Assir, King Khalid University, Abha 61421, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101675637","display_name":"Sami Ullah Khan","orcid":"https://orcid.org/0000-0002-9185-5682"},"institutions":[{"id":"https://openalex.org/I172324550","display_name":"Gomal University","ror":"https://ror.org/0241b8f19","country_code":"PK","type":"education","lineage":["https://openalex.org/I172324550"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Sami Ullah Khan","raw_affiliation_strings":["Department of Mathematics, Institute of Numerical Sciences, Gomal University, Dera Ismail Khan 29050, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Institute of Numerical Sciences, Gomal University, Dera Ismail Khan 29050, Pakistan","institution_ids":["https://openalex.org/I172324550"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006628666","display_name":"Samer Al Ghour","orcid":"https://orcid.org/0000-0002-7872-440X"},"institutions":[{"id":"https://openalex.org/I156983542","display_name":"Jordan University of Science and Technology","ror":"https://ror.org/03y8mtb59","country_code":"JO","type":"education","lineage":["https://openalex.org/I156983542"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Samer Al Ghour","raw_affiliation_strings":["Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan","institution_ids":["https://openalex.org/I156983542"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015548153","display_name":"Esmail Hassan Abdullatif Al-Sabri","orcid":"https://orcid.org/0000-0003-0418-193X"},"institutions":[{"id":"https://openalex.org/I82952536","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30","country_code":"SA","type":"education","lineage":["https://openalex.org/I82952536"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Esmail Hassan Abdullatif Al-Sabri","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Arts, Muhayl Assir, King Khalid University, Abha 61421, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0003-0418-193X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Arts, Muhayl Assir, King Khalid University, Abha 61421, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047802215","display_name":"Maha Mohammed Saeed","orcid":"https://orcid.org/0000-0001-6416-8097"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Maha Mohammed Saeed Mohammed","raw_affiliation_strings":["Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-6416-8097","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043345214","display_name":"Shoukat Hussain","orcid":null},"institutions":[{"id":"https://openalex.org/I172324550","display_name":"Gomal University","ror":"https://ror.org/0241b8f19","country_code":"PK","type":"education","lineage":["https://openalex.org/I172324550"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Shoukat Hussain","raw_affiliation_strings":["Department of Mathematics, Institute of Numerical Sciences, Gomal University, Dera Ismail Khan 29050, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Institute of Numerical Sciences, Gomal University, Dera Ismail Khan 29050, Pakistan","institution_ids":["https://openalex.org/I172324550"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015926247","display_name":"Fiaz Hussain","orcid":"https://orcid.org/0000-0001-8274-377X"},"institutions":[{"id":"https://openalex.org/I172324550","display_name":"Gomal University","ror":"https://ror.org/0241b8f19","country_code":"PK","type":"education","lineage":["https://openalex.org/I172324550"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Fiaz Hussain","raw_affiliation_strings":["Department of Mathematics, Institute of Numerical Sciences, Gomal University, Dera Ismail Khan 29050, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Institute of Numerical Sciences, Gomal University, Dera Ismail Khan 29050, Pakistan","institution_ids":["https://openalex.org/I172324550"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043278530","display_name":"Giorgio Nordo","orcid":"https://orcid.org/0000-0002-9585-9680"},"institutions":[{"id":"https://openalex.org/I112862951","display_name":"University of Messina","ror":"https://ror.org/05ctdxz19","country_code":"IT","type":"education","lineage":["https://openalex.org/I112862951"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giorgio Nordo","raw_affiliation_strings":["MIFT Department (Mathematics, Computer Science, Physics and Earth Sciences), University of Messina, 98166 Messina, Italy"],"raw_orcid":"https://orcid.org/0000-0002-9585-9680","affiliations":[{"raw_affiliation_string":"MIFT Department (Mathematics, Computer Science, Physics and Earth Sciences), University of Messina, 98166 Messina, Italy","institution_ids":["https://openalex.org/I112862951"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103917400","display_name":"Arif Mehmood","orcid":null},"institutions":[{"id":"https://openalex.org/I172324550","display_name":"Gomal University","ror":"https://ror.org/0241b8f19","country_code":"PK","type":"education","lineage":["https://openalex.org/I172324550"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Arif Mehmood","raw_affiliation_strings":["Department of Mathematics, Institute of Numerical Sciences, Gomal University, Dera Ismail Khan 29050, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Institute of Numerical Sciences, Gomal University, Dera Ismail Khan 29050, Pakistan","institution_ids":["https://openalex.org/I172324550"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":9,"corresponding_author_ids":["https://openalex.org/A5103917400"],"corresponding_institution_ids":["https://openalex.org/I172324550"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.4931,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67477832,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"15","issue":"5","first_page":"1044","last_page":"1044"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9991000294685364,"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":0.9991000294685364,"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/T14175","display_name":"Intuitionistic Fuzzy Systems Applications","score":0.9664999842643738,"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/defuzzification","display_name":"Defuzzification","score":0.7181787490844727},{"id":"https://openalex.org/keywords/centroid","display_name":"Centroid","score":0.5496118068695068},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5298423767089844},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5080788135528564},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.4913415014743805},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.48999372124671936},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4701777994632721},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.45976653695106506},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.4585970938205719},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.4567708671092987},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.45430076122283936},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.4150215685367584},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35608208179473877},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34573471546173096},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.27686578035354614},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21998679637908936}],"concepts":[{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.7181787490844727},{"id":"https://openalex.org/C146599234","wikidata":"https://www.wikidata.org/wiki/Q511093","display_name":"Centroid","level":2,"score":0.5496118068695068},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5298423767089844},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5080788135528564},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.4913415014743805},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48999372124671936},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4701777994632721},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.45976653695106506},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4585970938205719},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.4567708671092987},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.45430076122283936},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.4150215685367584},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35608208179473877},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34573471546173096},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.27686578035354614},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21998679637908936},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym15051044","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15051044","pdf_url":"https://www.mdpi.com/2073-8994/15/5/1044/pdf?version=1685107764","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:76e58cbfa1b84decae121e249500a3f4","is_oa":true,"landing_page_url":"https://doaj.org/article/76e58cbfa1b84decae121e249500a3f4","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 15, Iss 5, p 1044 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/15/5/1044/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym15051044","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym15051044","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15051044","pdf_url":"https://www.mdpi.com/2073-8994/15/5/1044/pdf?version=1685107764","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.8199999928474426,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320324433","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4382338938.pdf"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1513389769","https://openalex.org/W1533689160","https://openalex.org/W1601473217","https://openalex.org/W1818467864","https://openalex.org/W1980564456","https://openalex.org/W1982485306","https://openalex.org/W2006137840","https://openalex.org/W2024875454","https://openalex.org/W2036209970","https://openalex.org/W2044765840","https://openalex.org/W2045629821","https://openalex.org/W2058367223","https://openalex.org/W2079457935","https://openalex.org/W2081123855","https://openalex.org/W2144003017","https://openalex.org/W2147472780","https://openalex.org/W2157746846","https://openalex.org/W2295236145","https://openalex.org/W2330293137","https://openalex.org/W2507500447","https://openalex.org/W2528919673","https://openalex.org/W2967044834","https://openalex.org/W2995542036","https://openalex.org/W3023744961","https://openalex.org/W3094982498","https://openalex.org/W4242007632","https://openalex.org/W6630746300","https://openalex.org/W6659820589","https://openalex.org/W6728459501","https://openalex.org/W6766841111","https://openalex.org/W7024788108"],"related_works":["https://openalex.org/W2674573885","https://openalex.org/W2253053392","https://openalex.org/W1542808721","https://openalex.org/W2331106272","https://openalex.org/W3176863924","https://openalex.org/W1489009679","https://openalex.org/W2060486654","https://openalex.org/W3118797707","https://openalex.org/W1552946134","https://openalex.org/W2025902904"],"abstract_inverted_index":{"The":[0,105,152],"notion":[1,80],"of":[2,18,45,54,73,81,91,95,107,116,129,138,154,169,211],"fuzzy":[3,85,96,101,170,216,220],"graph":[4,72,86,97,102],"(FG)":[5],"is":[6],"widely":[7],"used":[8,41],"in":[9,23,42,51,83,144,146,198],"many":[10,43],"problems":[11],"arising":[12],"from":[13,25,203],"partial":[14],"or":[15,35,178],"incomplete":[16],"descriptions":[17],"the":[19,71,74,79,93,126,135,150,163,167,199,204,207],"real":[20,127],"world":[21],"and":[22,38,62,99,111,122,157,166,191,209,218,224],"particular":[24],"fields":[26,44],"such":[27,57,187],"as":[28,48,50,58,88,188],"engineering,":[29],"economics,":[30],"computer":[31],"science,":[32],"social":[33],"disciplines,":[34],"medical":[36],"diagnostics,":[37],"has":[39],"been":[40],"pure":[46],"mathematics":[47],"well":[49],"several":[52],"areas":[53],"applied":[55,124],"sciences":[56],"decision":[59],"making,":[60],"statistics":[61],"networking.":[63],"In":[64],"this":[65],"paper":[66],"we":[67],"will":[68],"deal":[69],"with":[70,213],"picture":[75,84],"fuzzy(symmetric)":[76],"set":[77],"using":[78],"domination":[82,98,108,113],"(PFG)":[87],"a":[89,117,140],"generalization":[90],"both":[92],"concept":[94],"intuitionistic":[100,219],"(IFG)":[103],"domination.":[104],"concepts":[106],"theory":[109,114],"(DT)":[110],"double":[112],"(DDT)":[115],"PFG":[118],"are":[119,176,181,222],"introduced,":[120],"studied":[121],"concretely":[123],"to":[125,133,148,215],"case":[128],"an":[130],"election":[131],"competition":[132],"determine":[134],"minimum":[136],"number":[137],"citizens":[139],"politician":[141],"should":[142],"meet":[143],"person":[145],"order":[147],"win":[149],"election.":[151],"choice":[153],"fuzzification":[155],"(symmetric)":[156],"defuzzification":[158],"(anti-symmetric)":[159],"methods":[160,183,194],"depends":[161],"on":[162],"specific":[164],"application":[165,205],"type":[168],"sets":[171],"being":[172],"used,":[173],"whether":[174],"they":[175],"symmetric":[177],"anti-symmetric.":[179],"There":[180],"various":[182],"for":[184,195],"each":[185],"process,":[186],"centroid,":[189],"max-min,":[190],"weighted":[192],"average":[193],"defuzzification.":[196],"Finally,":[197],"last":[200],"section,":[201],"drawing":[202],"example,":[206],"features":[208],"benefits":[210],"PFGs":[212],"respect":[214],"graphs":[217,221],"compared":[223],"discussed.":[225]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}