in this paper, the finitely many constraints of a fuzzy relationinequalities problem are studied and the linear objective function on the regiondefined by a fuzzy max-average operator is optimized. a new simplificationtechnique which accelerates the resolution of the problem by removing thecomponents having no effect on the solution process is given together with analgorithm and a numerical exa...

In this paper, the finitely many constraints of a fuzzy relationinequalities problem are studied and the linear objective function on the regiondefined by a fuzzy max-average operator is optimized. A new simplificationtechnique which accelerates the resolution of the problem by removing thecomponents having no effect on the solution process is given together with analgorithm and a numerical exa...

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...

The aim of this paper is to introduce fuzzy ($e$, almost) $e^{*}$-regular spaces in $check{S}$ostak's fuzzy topological spaces. Using the $r$-fuzzy $e$-closed sets, we define $r$-($r$-$theta$-, $r$-$etheta$-) $e$-cluster points and their properties. Moreover, we investigate the relations among $r$-($r$-$theta$-, $r$-$etheta$-) $e$-cluster points, $r$-fuzzy ($e$, almost) $e^{*}$-regular spaces a...

A b st r act . The relationship between "learning" in ad aptive layered networks and the fit ting of data wit h high dimensional surfaces is discussed . T his leads natu rally to a picture of "generalization" in terms of interp olation between known data points and suggests a rat ional approach to th e theory of such networks. A class of adaptive networks is identified which makes the inte rpo ...

A b st r act . The relationship between "learning" in ad aptive layered networks and the fit ting of data wit h high dimensional surfaces is discussed . T his leads natu rally to a picture of "generalization" in terms of interp olation between known data points and suggests a rat ional approach to th e theory of such networks. A class of adaptive networks is identified which makes the inte rpo ...

in this paper, a new approach for solving the second order fuzzy differential equations (fde) with fuzzy initial value, under strongly generalized h-differentiability is presented. solving first order fuzzy differential equations by extending 1-cut solution of the original problem and solving fuzzy integro-differential equations has been investigated by some authors (see for example cite{darabi...

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 ...

Multiphase ow simulation with various nonhomogeneous boundary conditions in ground water hydrology and petroleum engineering is considered The phase ow equations are given in a fractional ow formulation i e in terms of a saturation and a global pressure It is shown that most commonly used boundary conditions for groundwater hydrology and petroleum engineering problems can be incorporated into t...