Abstract We consider a homogeneous differential operator $${\mathcal {A}}$$ A and show an improved version of Murat’s condition for -quasiaffine functions, provided that the satisfies constant rank condition. As consequence, we obtain affinity along characteristic cone implies -quasiaffinity if admits first o...

in this paper we obtain a necessary and a sufficient condition for the set of ω_0-nearest points ( ω_0-farthest points) to be non-empty or a singleton set in normed linear spaces. we shall find a necessary and a sufficient condition for an uniquely remotal set to be a singleton set.

this paper presents the basic concepts of stability in fuzzy linguistic models. theauthors have proposed a criterion for bibo stability analysis of fuzzy linguistic modelsassociated to linear time invariant systems [25]-[28]. this paper presents the basic concepts ofstability in the general nonlinear and linear systems. this stability analysis method is verifiedusing a benchmark system analysis.