基于最优化方法的区间直觉模糊三支群决策模型（英文）-豆柴文库

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基于最优化方法的区间直觉模糊三支群决策模型（英文）
Title:IntervalIntuitionisticFuzzyThree-BranchDecisionMakingModelbasedonOptimizationMethod
Abstract:
Indecisionmakingproblems,uncertaintyandambiguityareunavoidable.Intervalintuitionisticfuzzysets(IIFSs)haveemergedasapowerfultooltohandleuncertaintiesandarewidelyusedindecision-makingprocesses.ThispaperproposesanovelIntervalIntuitionisticFuzzyThree-BranchDecisionMakingmodelbasedonanoptimizationmethod.Themodelaimstoprovideasystematicandobjectiveapproachtoanalyzeandevaluatecomplexdecision-makingproblemsefficiently.
1.Introduction:
Decisionmakingisacriticaltaskinvariousdomains,suchasbusiness,engineering,andhealthcare.However,decision-makingproblemsofteninvolveuncertaintyandimprecisionduetoincompleteorvagueinformation.Traditionaldecision-makingmethodsfailtocapturethisuncertaintyeffectively,leadingtosuboptimalsolutions.Intervalintuitionisticfuzzysetsofferapracticalwaytodealwithuncertaintiesandallowdecisionmakerstoexpresstheirdegreeofhesitationandintuitionduringthedecision-makingprocess.
2.TheoreticalFoundation:
2.1.IntervalIntuitionisticFuzzySets(IIFS):
IntervalIntuitionisticFuzzySets(IIFS)areanextensionofintuitionisticfuzzysetsthatincorporateinterval-valuedmembershipandnon-membershipdegrees.IIFSscaneffectivelyhandletheuncertaintiesandambiguitiesassociatedwithdecision-makingprocesses.TherepresentationofIIFSsfacilitatesdecisionmakersinexpressingtheirhesitancyinassigningmembershipdegreestoelements.
2.2.Three-BranchDecisionMaking:
Three-BranchDecisionMakingisadecisionmodelthatconsidersthreepossibleoutcomes:positive,negative,andhesitancy.Thismodelisparticularlysuitableforsituationswheredecisionmakersfaceambiguityandarenotfullyconfidentabouttheirjudgment.Thethree-branchdecision-makingmodelfacilitatestheincorporationofuncertaintiesindecision-makingprocesses.
3.ProposedModel:
3.1.IntervalIntuitionisticFuzzyWeightedAggregationOperator:
Toaggregateintervalintuitionisticfuzzynumbers,weproposeanIntervalIntuitionisticFuzzyWeightedAggregationOperator.Thisoperato