Modification of a nonrelativistic phase space structure based on fuzzy ordered sets (Fosets) structure investigated as a possible nonrelativistic quan-tization framework. In this model particle's m state corresponds to Foset element-fuzzy point. Due to fuzzy ordering its space coordinate x acquires principal uncertainty σ x. It's shown that proposed Mechanics on fuzzy phase space manifold repro...

in the present paper we define the notion of fuzzy inner productand study the properties of the corresponding fuzzy norm. in particular, it isshown that the cauchy-schwarz inequality holds. moreover, it is proved thatevery such fuzzy inner product space can be imbedded in a complete one andthat every subspace of a fuzzy hilbert space has a complementary subspace.finally, the notions of fuzzy bo...

Let G be a connected and simply connected nilpotent Lie group with Lie algebra g and unitary dual Ĝ. The moment map for π ∈ Ĝ sends smooth vectors in the representation space of π to g∗. The closure of the image of the moment map for π is called its moment set. N. Wildberger has proved that the moment set for π coincides with the closure of the convex hull of the corresponding coadjoint orbit. ...

Many authors have introduced the concept of fuzzy metric spaces in different ways.In this paper, we get a special structure for some separable fuzzy metric and M-fuzzy metric spaces, where the metric space has been introduced by George and Veermani.

Based on the geodesic curvature flow of the iso-gray level conbecomes a geodesic or shrinks into a point. We will limit tours of an image painted on the given surface, the image our discussion to smooth Riemannian surfaces which are is evolved and forms the natural geometric scale space. Its convex at infinity (the convex hull of every compact subset geometrical properties are discussed as well...

We present a nonstandard hull construction for locally uniform groups in a spirit similar to Luxembourg’s construction of the nonstandard hull of a uniform space. Our nonstandard hull is a local group rather than a global group. We investigate how this construction varies as one changes the family of pseudometrics used to construct the hull. We use the nonstandard hull construction to give a no...

In this paper, the m-hull sets in the join and composition of two connected graphs are characterized and their m-hull numbers are shown to be direct consequences of these characterizations.

and Applied Analysis 3 Definition 2.2 Kramosil and Michálek 3 . The triple X,M, ∗ is called a fuzzy metric space if X is an arbitrary set, ∗ is a continuous t-norm, andM is a fuzzy set onX×X× 0,∞ satisfying the following conditions: for all x, y, z ∈ X and s, t > 0, FM-1 M x, y, 0 0, FM-2 M x, y, t 1 if and only if x y, FM-3 M x, y, t M y, x, t , FM-4 M x, y, t ∗M y, z, s ≤ M x, z, t s , FM-5 a...