In this paper, we introduce some new classes of proximal contraction mappings and establish  best proximity point theorems for such kinds of mappings in a non-Archimedean fuzzy metric space. As consequences of these results, we deduce certain new best proximity and fixed point theorems in partially ordered non-Archimedean fuzzy metric spaces. Moreover, we present an example to illustrate the us...

This is the 5rst one of three articles that are intended to be published consecutively in this journal. Together they constitute a three-part work on the uni5ed subject of fuzzy T -neighbourhood spaces and their fuzzy T -proximities, where T stands for any continuous triangular norm. These new notions generalize, to arbitrary T , corresponding ones due to Artico, H8 ohle, Lowen and Moresco. In ...

Though the data integration problem of relational databases has been well studied, little work addresses the problem in the context of fuzzy relational databases. The fuzzy relational model relies on the specification of either a similarity relation or a proximity relation for each scalar domain in the fuzzy database. Without the constraint of max-min transitivity, proximity relations can be de...

As a measure of information shared between two fuzzy pattern vectors, the fuzzy information proximity measure (FIPM) plays an important part in fuzzy pattern recognition, fuzzy clustering analysis and fuzzy approximate reasoning. In this paper, two novel FIPMs are set up. Firstly, an axiom theory about the FIPM is given, and different expressions of the FIPM are discussed. A new FIPM is then pr...

In a previous work, we have explored a proximity-based approach for relaxing queries involving fuzzy predicates. This proximity was defined in a relative way. In this paper we consider an absolute proximity and we show how it can be used for the purpose of query weakening. The main features of the weakening mechanism resulting from the use of this kind of proximity are investigated as well. Las...