Inference mechanisms and interpretations of fuzzy rule bases are studied together from the point of view of systems of fuzzy relation equations. A proper use of an inference mechanism connected to a fuzzy relation interpreting a fuzzy rule base is certified by keeping the fundamental interpolation condition. The paper aims at new solutions of systems of fuzzy relation equations which are motiva...

introduction: inequalities in urban environment are a significant concern. socioeconomic level plays an important role in these inequalities. inequality in environmental hazards is recognized as potential determinants of health disparities. materials & methods: in this study, we used individual and cumulative environmental hazard inequality indices to compare the inequality among 379 neighborho...

This paper deals with fuzzy cellular neural networks (FCNNs) with leakage delays and proportional delays. Applying the differential inequality strategy, fixed point theorem and almost periodic function principle, some sufficient criteria which ensure the existence and global attractivity of a unique almost periodic solution for fuzzy cellular neuralnetworks with leakage delays and p...

Min-implication fuzzy relation equations based on Booleantype implications can also be viewed as a way of implementing fuzzy associative memories with perfect recall. In this paper, fuzzy associative memories with perfect recall are constructed, and new on-line learning algorithms adapting the weights of its interconnections are incorporated into this neural network when the solution set of the...

Linear equality and inequality systems with fuzzy parameters defined by the extension principle are called possibilistic linear equality and inequality systems. The solution of these systems is defined in the sense of BellmanZadeh [1]. This paper investigate stability and continuity properties of the solution in the above-named systems.

It is given a new algorithm to compute a lower T-transitive approximation of a fuzzy relation that preserves symmetry. Given a reflexive and symmetric fuzzy relation, the new algorithm computes a T-indistinguishability that is contained in the fuzzy relation. It has been developed a C++ program that generates random symmetric fuzzy relations or random symmetric and reflexive fuzzy relations and...

Fuzzy random variables have been introduced by Puri and Ralescu as an extension of random sets. In this paper, we ®rst introduce a real-valued generalized measure of the ``relative variation'' (or inequality) associated with a fuzzy random variable. This measure is inspired in Csisz ar's f-divergence, and extends to fuzzy random variables many well-known inequality indices. To guarantee certain...

For theoretical fuzzy control it is a well known strategy to transform a system of control rules into a system of relation equations. Because these systems of relation equations are not always solvable, solvability criteria and approximate solutions have been discussed. We reconsider some of the results in this field and extend them using more recent results on t-norm based fuzzy logics and on ...

In this paper I investigate the System of fuzzy relation equations with inf → composition. I compare this system with the system of fuzzy relation equations with sup − ∗-composition. The purpose of this contribution is to show that there are many things which are common for both systems with sup−∗ and inf →-composition operations. K e y w o r d s: System of fuzzy relation equations; sup − ∗-com...