Abstract
Complex fuzzy sets and complex intuitionistic fuzzy sets are unable to dealing with inexact, undetermined, discrepant, and inadequate periodic fact. To deal this issue, propose a complex fermatean pentapartitioned neutrosophic set whose complex valued truth membership function, complex valued contradiction membership function, complex valued ignorance membership function, complex valued unknown membership function, and complex valued false membership function are the combination of real valued truth amplitude term in related with phase term, real-valued contradiction amplitude term in related with phase term, realvalued unknown membership function, and complex valued false membership function. Complex fuzzy sets and complex intuitionistic fuzzy sets are incapable of dealing with inexact, undetermined, discrepant, and inadequate periodic fact. To deal this issue, propose a complex fermatean pentapartitioned neutrosophic set whose complex valued truth membership function, complex valued contradiction membership function, complex valued ignorance membership function, complex valued unknown membership function, and complex valued false membership function are the combination of real valued truth amplitude term in related with phase term, real-valued contradiction amplitude term in related with phase term, real-valued unknown membership function, and complex valued false membership function
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