On Direct Product of a Fuzzy Subgroup with an Anti-fuzzy Subgroup | Zendy

Sudipta Gayen | Zendy; Sripati Jha | Zendy; Manoranjan Singh | Zendy

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On Direct Product of a Fuzzy Subgroup with an Anti-fuzzy Subgroup

Author(s) -

Sudipta Gayen,

Sripati Jha,

Manoranjan Singh

Publication year - 2019

Publication title -

international journal of recent technology and engineering (ijrte)

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) , algebra over a field , dual (grammatical number) , direct product , torsion subgroup , group (periodic table) , pure mathematics , computer science , artificial intelligence , linguistics , physics , philosophy , geometry , abelian group , quantum mechanics , elementary abelian group

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.

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