Fermatean Lattice Fuzzy Vector Space of Quantum Subspaces over Hopf Subalgebras
Keywords:
Fuzzy set, Intuitionistic fuzzy set, Fermatean L-fuzzy sub algebras, Vector space, Quantum subspace, Fermatean L-fuzzy sub coalgebrasAbstract
The Main goal of this paper is to introduce the concept of lattice structure of fermatean fuzzy vector space of quantum subspace with respect to Hopf algebras. We have defined fermatean L-fuzzy sub algebras, fermatean L-fuzzy sub co algebras and fermatean L-fuzzy left (right) coideals are defined and the characterizations of fermatean L-fuzzy sub co algebras under homomorphisms of coalgebras are investigated. We have discussed the duality of fermatean L-fuzzy sub co algebras and duality of fermatean L-fuzzy sub coalgebras as well as fermatean L-fuzzy sub algebras are studied. Finally, we studied fermatean L-fuzzy quantum subsets with some suitable examples.
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