Robustness on Intuitionistic Fuzzy Connectives

Abstract

<p><!--StartFragment-->The main contribution of this paper is concerned with the robustness of intuitionistic fuzzy connectives in fuzzy reasoning. Starting with an evaluation of the sensitivity in $n$-order functions on the class of intuitionistic fuzzy sets, we apply the results in the intuitionistic $(S,N)$-implication class. The paper formally states that the robustness preserves the projection functions in such class.</p>

Wavelet-fuzzy power quality diagnosis system with inference method based on overlap functions: Case study in an AC microgrid

“…Stability and robustness must also be considered because they are factors linked to the continuity of the aggregation operator so that for the small domain, the return value must have small variations of the range (Reiser and Bedregal, 2014).…”

Robustness on the class of fuzzy difference operators

“…Such interpretation improves the study of the stability of systems based on intuitionistic fuzzy rules and measurement relationships. In [13], focusing on their pointwise components obtained by related membership and non-membership functions, the δ-sensitivity analysis related to difference operators is extended to the Atanassov's intuitionistic approach [1], as presented in [17]. And, by taking the class of strong fuzzy negation (as the standard negation N S ), the paper formally states that the sensitivity of an n-order fuzzy connective at a point x ∈ U n preserves its projections related to the sensitivity of its fuzzy approach at the same point, when representable fuzzy connectives are considered.…”