Z_2-graded intuitionistic L-fuzzy q-deformed quantum subspaces of A_q

Abstract

In this paper, assuming that ⟨L, ≤〉 is a lattice set with a few specific conditions, intuitionistic L-fuzzy subalgebras, intuitionistic L-fuzzy subcoalgebras and intuitionistic L-fuzzy left (right) coideals are defined and the properties of intuitionistic L-fuzzy subcoalgebras under homomorphisms of coalgebras are investigated. Duality of intuitionistic L-fuzzy subalgebras and duality of intuitionistic L-fuzzy subcoalgebras are also discussed. Intuitionistic L-fuzzy subbialgebras as well as intuitionistic L-fuzzy Hoph subalgebras are studied. Intuitionistic L-fuzzy quantum subsets of k_q[x, y] are established and also Z2-graded intuitionistic L-fuzzy q-deformed quantum subspaces of A_q are introduced.