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Vague arithmetic different from the present literature of fuzzy arithmetic has been proposed in [Demirci (Internat. J. Uncertainty, Fuzziness and Knowledge-Based Systems 10(1) (2002) 25; Internat. J. General Systems 32(20032003) 157, 177)] to model vaguely defined arithmetic operations resulting from the indistinguishability of real numbers.
An implementation of fuzzy arithmetic is then developed based upon the work of Hanss and Klimke.
A hybrid clustering-fuzzy arithmetic algorithm is here proposed, which uses cluster analysis to quantify porosity uncertainty, then the uncertainty is projected to the irreducible water saturation and permeability by the means of fuzzy arithmetic.
This paper applies a new fuzzy arithmetic of interval calculus and fuzzy quantities to automatic control.
In the present study, fuzzy arithmetic techniques are applied to the chatter stability problem.
Fuzzy arithmetic is used to solve the system for α-cuts.
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For this, fuzzy set arithmetic is applied.
Regarding fuzzy set arithmetic, α-cuts of fuzzy sets are always closed and bounded intervals.
Chen (1994) presented a new method for analyzing system reliability using fuzzy number arithmetic operations.
Intuitionistic trapezoidal fuzzy weighted arithmetic averaging operator and weighted geometric averaging operator were proposed by Wang et al. in [25].
Based on this, fuzzy set arithmetic can be defined in terms of their α-cuts (cf. Buckley and Eslami 2002).
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