Fuzzy implications: alpha migrativity and generalised laws of importation

Laws of Contraposition and Law of Importation for Probabilistic Implications and Probabilistic S-implications

Fuzzy Implications and the Weak Law of Importation

Some open problems on fuzzy implications dealing with the so-called importation law are studied and totally or partially solved in this work. In particular, it is proved that such property (in fact a weaker version than the law of importation) is stronger than the exchange principle. Along this study, new characterizations of (S,N)-implications and R-implications involving the law of importatio...

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

On the law of importation for some kinds of fuzzy implications derived from uninorms

The law of importation for fuzzy implications is studied and it is solved for S, R, QL and D-implications derived from uninorms. Along this study many new solutions of this property appears different from those already known for implications derived from t-norms and t-conorms.

Migrativity of aggregation functions

In this paper we introduce a slight modification of the definition of migrativity for aggregation functions that allows useful characterization of this property. Among other things, in this context we prove that there are no t-conorms, uninorms or nullnorms that satisfy migrativity (with the product being the only migrative t-norm, as already shown by other authors) and that the only migrative ...