Some New Smooth Fuzzy Relational Compositions

Relational compositions in Fuzzy Class Theory

We present a method for mass proofs of theorems of certain forms in a formal theory of fuzzy relations and classes. The method is based on formal identification of fuzzy classes and inner truth values with certain fuzzy relations, which allows transferring basic properties of sup-T and inf-R compositions to a family of more than 30 composition-related operations, including sup-T and inf-R image...

Fuzzy Relational Compositions Based on Generalized Quantifiers

Fuzzy relational compositions have been extensively studied by many authors. Especially, we would like to highlight initial studies of the fuzzy relational compositions motivated by their applications to medical diagnosis by Willis Bandler and Ladislav Kohout. We revisit these types of compositions and introduce new definitions that directly employ generalized quantifiers. The motivation for th...

Fuzzy Relational Matrix-Based Stability Analysis for First-Order Fuzzy Relational Dynamic Systems

In this paper, two sets of sufficient conditions are obtained to ensure the existence and stability of a unique equilibrium point of unforced first-order fuzzy relational dynamical systems by using two different approaches which are both based on the fuzzy relational matrix of the model.In the first approach, the equilibrium point of the system is one of the centers of the related membership fu...

Some New Parametric Fuzzy Entropies

Keeping in the view the non-probabilistic nature of experiment, we introduced some new generalized exponential fuzzy entropy involving one or more real parameters and to check their authenticity, the essential properties of these measures have been studied. Introduced fuzzy entropies contain several other existing parametric and non-parametric measures of fuzzy entropies defined by De Luca and ...

Some issues of fuzzy querying in relational databases