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An interval is a continuum of real numbers, defined by its end-points. Interval analysis, proposed by R. Moore in the 50's, concerns the discovery of interval functions to produce bounds on the accuracy of numerical results that are guaranteed to be sharp and correct. The last criterion, correctness, is the main one since it establishes that the result of(More)
— The aim of this work is to analyze interval fuzzy S-implications and interval automorphisms. Starting from any fuzzy S-implication, it is shown how to obtain an interval fuzzy S-implication canonically. We proved that the such interval fuzzy S-implications meet the optimality property and preserve the same properties satisfied by the fuzzy S-implication.(More)
Interval fuzzy logic is firmly integrated with principles of fuzzy logic theory and interval mathematics. The former provides a complete and inclusive mathematical model of uncertainty from which the foundations of fuzzy control have widened the scope of control theory. The latter models the uncertainty and the errors in numerical computation, leading to(More)