Open AccessOn Direct Product of a Fuzzy Subgroup with an Anti-fuzzy Subgroup
Author(s) -
Sudipta Gayen,
Sudhanshu Kumar Jha,
Manoj Singh
Publication year - 2019
Publication title -
international journal of recent technology and engineering
Language(s) - English
Resource type - Journals
ISSN - 2277-3878
DOI - 10.35940/ijrte.b1502.078219
Subject(s) - mathematics , fuzzy logic , characteristic subgroup , normal subgroup , maximal subgroup , product (mathematics) , dual (grammatical number) , subgroup analysis , torsion subgroup , algebra over a field , group (periodic table) , pure mathematics , computer science , statistics , artificial intelligence , linguistics , physics , geometry , quantum mechanics , confidence interval , abelian group , elementary abelian group , philosophy
We have introduced and analysed some newrefreshing concepts in the field of fuzzy abstract algebra. Themain contributions of this paper are fivefold: (1) we haveintroduced the notion of dual-fuzzy subgroup, (2) we have definedthe direct product of a fuzzy subgroup with an anti-fuzzysubgroup, (3) Furthermore, we have defined mixed level subsetand mixed level subgroup, (4) we have also developed some newtheories as well as propositions based on these newly definednotions and lastly (5) we have redefined these notions usinggeneral T-norm and T* conorm.