A common fixed point theorem for a sequence of fuzzy mappings.
A general vector-valued variational inequality and its fuzzy extension.
A generalized nonlinear random equations with random fuzzy mappings in uniformly smooth Banach spaces.
A note on the super-additive and sub-additive transformations of aggregation functions: The multi-dimensional case
For an aggregation function we know that it is bounded by and which are its super-additive and sub-additive transformations, respectively. Also, it is known that if is directionally convex, then and is linear; similarly, if is directionally concave, then and is linear. We generalize these results replacing the directional convexity and concavity conditions by the weaker assumptions of overrunning a super-additive function and underrunning a sub-additive function, respectively.
An inquiry-based method for Choquet integral-based aggregation of interface usability parameters
The concept of usability of man-machine interfaces is usually judged in terms of a number of aspects or attributes that are known to be subject to some rough correlations, and that are in many cases given different importance, depending on the context of use of the application. In consequence, the automation of judgment processes regarding the overall usability of concrete interfaces requires the design of aggregation operators that are capable of modeling approximate or ill-defined interactions...
Applications of contractive-like mapping principles to fuzzy equations
We recall a recent extension of the classical Banach fixed point theorem to partially ordered sets and justify its applicability to the study of the existence and uniqueness of solution for fuzzy and fuzzy differential equations. To this purpose, we analyze the validity of some properties relative to sequences of fuzzy sets and fuzzy functions.