Rosana Zanotelli

Sensitivity and Dual Constructions on the Fuzzy f-Xor Class

This paper aims to study the robustness of f-Xorconnectives, in particular of ETP, SP, NS also including its main properties, NS-dual construction and corresponding fuzzy f-Xor implication. Additionally, we obtained some basic results on the pointwise sensitivity of the f-Xor connective ETP, SP, NS, mainly connected with the endpoints of unit interval U. Additionally, we obtained some basic results on the pointwise sensitivity of the f-Xor connective xorTP, SP, NS, mainly connected with the endpoints of unit interval U.

Towards robustness and duality analysis of intuitionistic fuzzy aggregations

This paper studies the robustness of intuitionistic fuzzy connectives in fuzzy reasoning. Starting with an evaluation of the sensitivity in representable fuzzy negations, we apply the results in the intuitionistic (S, N)-implication class and its dual construction. As the main contribution, the paper formally states that the robustness preserves the projection functions in this class and corresponding dual operators.

A class of fuzzy implications obtained from triples of fuzzy implications

The aim of this work is to study the class I<inf>I, I1, I2</inf>(U) of fuzzy implications obtained by a triple (I, I<inf>1</inf>, I<inf>2</inf>) of fuzzy implications. Thus, this paper discusses under which conditions such functions preserve the main properties of fuzzy implications. In addition, by conjugate fuzzy implications it is shown that an I<inf>I, I1, I2</inf>(U) fuzzy implication can be preserved by action of an order automorphism. Finally, we introduce the family I^(k)<inf>I, I1, I2</inf>(U) of fuzzy implications obtained by taking the extended classes of I^(k)-implications verifying both generalized properties, exchange principle and distributivity in addition to, their dual construction is also considered.

Generalized Atanassov’s Intuitionistic Fuzzy Index and Conjugate with S-implications

This work extends the study of properties related to the Generalized Atanassov’s Intuitionistic Fuzzy Index, by considering the concept of conjugate fuzzy implications, mainly interested in the class of S-implications.

Correlation Analysis of Intuitionistic Fuzzy Connectives

This paper studies the correlation between Atanassov’s intuitionistic fuzzy sets (A-IFSs) obtained as image of strong intuitionistic fuzzy negations. We consider the action of strong fuzzy negations in order to verify the conditions under which the correlation coefficient related to such A-IFSs and their corresponding conjugate constructions are obtained.

Robustness on the class of fuzzy difference operators

This paper extends the robustness analysis of the fuzzy connectives based on the pointwise sensitivity of such operators. Starting with an evaluation of the sensitivity in fuzzy negations, triangular norms and conorms, we apply the results in the class of fuzzy difference operators and their dual construction. The paper formally states that the robustness preserves the projection functions related to fuzzy (co)difference operators.

Correlation coefficient analysis based on fuzzy negations and representable automorphisms

This paper aims to study the correlation between Atanassovs intuitionistic fuzzy sets (A-IFSs) obtained as image of strong intuitionistic fuzzy negations. We consider the action of strong fuzzy negations in order to verify the conditions under which the correlation coefficient related to such A-IFSs and their corresponding conjugate constructions are obtained. We attempt to present algebraic expressions of correlation relationship by considering representable intuitionistic automorphisms.

Robustness of f- and g-generated Fuzzy (Co)Implications

This paper studies the robustness of intuitionistic fuzzy implications in fuzzy reasoning based on Atanassovs intuitionistic fuzzy logic. Starting with an evaluation of the sensitivity in representable fuzzy negations, we apply the results in the Yagers classes of fuzzy implications called the f- and g-generated fuzzy implications. The paper formally states that the robustness preserves the projection functions in such class and also discusses their corresponding dual operators.

Aggregating fuzzy implications based on OWA-operators

This paper presents the fuzzy (S, N)- QL- and D-subimplication classes, which are obtained by OWA operators performed over the families of triangular subnorms and sub-conorms along with fuzzy negations. Since these classes of subim-plications are explicitly represented by such connectives, the corresponding (S, N)- QL- and D-subimplicatios are characterized by the generalized associativity and distributive properties together with extensions of the exchange and neutrality principles. As the main results, these families of subimplications extend related implications by preserving their corresponding properties.

Robustness on the fuzzy f-Xor Class: Implication, bi-implications and dual constructions

This paper aims to study the robustness of f-Xor connectives, in particular the ETP, SP, NS operator also including its main properties, NS-dual construction and corresponding fuzzy f-Xor implication and bi-implication. Additionally, we obtained some basic results on the pointwise sensitivity of the f-Xor connective ETP, SP, NS, mainly connected with the endpoints of unit interval U. Our major interest is the robustness analysis related to f-X(N)or (co)implications and f-X(N)or bi-(co)implications.