Afterward, it was followed by the notion of intuitionistic fuzzy normed space and intuitionistic fuzzy bounded linear operators [8 18].
Let be an -intuitionistic fuzzy bounded and -intuitionistic fuzzy closed convex subset of, and let be an intuitionistic fuzzy nonexpansive mapping of into.
Then a subset of is -intuitionistic fuzzy bounded if and only if is bounded with respect to, for all, where denotes the -norm of.
The idea is to find, on a finite set of measured data, the confidence interval defined by the lower and upper fuzzy bound that define the band that contains all the output measurements.
The fuzzy stability bounds are then compared to previously published data, to investigate how uncertainty propagation techniques can offer more insight into the accuracy of chatter predictions.
FIMP can handle uncertainties presented in terms of fuzzy boundary intervals that represent interval coefficients with independently fuzzy lower and upper bounds with possibility distributions.
Step 4: Estimate the fuzzy approximation error bounds a k, b k, and c k, k = 0,1,..., m, in (26), and give a prescribed noise filtering ability γ.
A double sequence of fuzzy numbers is bounded if there exists a positive number such that for all and, (2.9).
Besides, an effective fuzzy utility upper-bound model based on the proposed measure is designed to provide the downward-closure property in fuzzy sets, thus reducing the search space of finding high fuzzy utility itemsets.
Let (x,yin C I,E_{N})), here I is a real interval and (E_{N}) is the set of all upper semicontinuous convex normal fuzzy numbers with bounded α-level intervals.
