In short, the place is deconsecrated, but to claim that it lacks any spark of sacred yearning would be wrong, because Qohen devotes his days to seeking the Zero Theorem, which — whatever it may be — lies at the fuzzy limit of human powers.
The proposed method firstly utilizes the α-level strategy to transform the fuzzy limit analysis into a series of interval limit analyses.
Definition 4.1 A process with fuzzy specification limits, which we call a fuzzy process for short, is one which approximately satisfies the normal distribution condition and its specification limits are fuzzy [9].
Theorem 4.1 Suppose that X1, X2, ⋯, X n are independent, identically distributed random variables with N μ, σ2) and let U a u, b u, c u ) ∈ F T (R) then let L(a l, b l, c l ) ∈ F T (R) be the engineering fuzzy specification limits, where au ≥ cl.
Limits of sequences of fuzzy sets, and limits and derivatives of fuzzy set-valued mappings are fuzzified ones of them for crisp sets, where 'crisp' means 'non-fuzzy'.
Limits of sequences of fuzzy sets, and limits and derivatives of fuzzy set-valued mappings can be expected to be useful and important for (i) fuzzy set-valued optimization, (ii) stability theory and sensitivity analysis for fuzzy mathematical models, etc.
Thus, the lower limit, upper limit, and limit for fuzzy set-valued mappings are generalizations of the crisp ones.
However, as the membership functions of type-1 fuzzy sets have limited capability of capturing uncertainty information, the control problem cannot be handled directly if the chaotic system is subjected to parametric uncertainty.
In this section, we propose the definitions of limits of fuzzy set-valued mappings, and investigate their properties.
