Fuzzy Reasoning in ES/KERNEL/W

Universal Triple I Method for Fuzzy Reasoning and Fuzzy Controller

As a generalization of the triple I method, the universal triple Imethod is investigated from the viewpoints of both fuzzy reasoningand fuzzy controller. The universal triple I principle is putforward, which improves the previous triple I principle. Then,unified form of universal triple I method is established based onthe (0,1)-implication or R-implication. Moreover, the reversibilityproperty o...

Similarity in Fuzzy Reasoning

Fuzzy set theory is based on a `fuzziication' of the predicate 2 (element of), the concept of membership degrees is considered as fundamental. In this paper we elucidate the connection between indis-tinguishability modelled by fuzzy equivalence relations and fuzzy sets. We show that the indistinguishability inherent to fuzzy sets can be computed and that this indistinguishability cannot be over...

Fuzzy Reasoning and Fuzzy Optimization

Coherence and Fuzzy Reasoning

Upper and lower conditional previsions are defined by the Choquet integral with respect to the Hausdorff outer and inner measures when the conditioning events have positive and finite Hausdorff outer or inner measures in their dimension; otherwise, when conditioning events have infinite or zero Hausdorff outer or inner measures in their dimension, they are defined by a 0-1 valued finitely, but ...

Fuzzy Spatial Reasoning

We present a fuzzy version of the crisp spatial logic developed by Randell et al., which takes the single relation connected−with as primitive. Membership functions are defined for each spatial relation defined in the crisp theory. Furthermore, principles are presented for defining linguistic variables whose linguistic values are spatial relations. The work reported here addresses spatial reaso...