In this paper we give some definitions and properties of spectral theory in fuzzy Hilbert spaces also we introduce definitions Invariant under a linear operator on fuzzy normed spaces and reduced linear operator on fuzzy Hilbert spaces and we prove theorms related to eigenvalue and eigenvectors ,eigenspace in fuzzy normed , Invariant and reduced in fuzzy Hilbert spaces and show relationship between them.
In this paper, we will discuss the concept of fuzzy set and its complement , and also we will study new types of fuzzy families such as the fuzzy -field ,fuzzy - -field ,fuzzy -field ,fuzzy - -field ,and fuzzy -field and the relationship between them
In this paper we will introduced the concept of δ-fuzzy martingale (resp δ-fuzzy sub-martingale, δ-fuzzy super-martingale) on the regular fuzzy measure space (Ω, F, μ), with respect to the δ-fuzzy filtration and convergence, so we will provide some definitions {Fn
}
n∈N
, and properties related to these concepts.
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