The one-dimensional N ×N -matrix Chern-Simons action is given, for large N and for slowly varying fields, by the (2k + 1)-dimensional Chern-Simons action SCS , where the gauge fields in SCS parametrize the different ways in which the large N limit can be taken. Since some of these gauge fields correspond to the isometries of the space, we argue that gravity on fuzzy spaces can be described by t...

in this paper, we study l1 -solutions of the following two-direction poly-scale refinement equationwe prove that the vector space of all l1 -solutions of the above equation is at most one-dimensional andconsists of compactly supported functions of constant sign. we also show that any- l1 solution of the aboveequation is either positive or negative on its support under a special assumption. with...

Motivated by the application of robots in holding and/or transferring a patient, this paper introduces the nonprehensile manipulation control algorithm for lifting up (or lowering down) a two-rigid link object with a passive joint applying two cooperative arms in a two-dimensional space. Fuzzy technique is applied for manipulation control, with high friction at contact, as it is very difficult ...

a‎s we know, developing mathematical models and numerical procedures that would appropriately treat and solve systems of linear equations where some of the system's parameters are proposed as fuzzy numbers is very important in fuzzy set theory. for this reason, many researchers have used various numerical methods to solve fuzzy linear systems. in this paper, we define the concepts of midpoint a...

In this paper, we have dened and studied a generalized form of topological vector spaces called s-topological vector spaces. s-topological vector spaces are dened by using semi-open sets and semi-continuity in the sense of Levine. Along with other results, it is proved that every s-topological vector space is generalized homogeneous space. Every open subspace of an s-topological vector space is...

A method of iterative preferences discovering is presented in this paper. It is based on the vector space model and a fuzzy classification of the on-line user’s session to precalculated clusters. As a result, the preference vector is created. It measures the user’s willingness to see web pages, products in an e-commerce site, masterpieces in a virtual gallery etc. Additionally, formal character...

Lexical semantic space models have recently been investigated to automatically derive the meaning (semantics) of information based on natural language usage. In a semantic space, a term can be considered as a concept represented geometrically as a vector, the components of which correspond to terms in a vocabulary. A primary way to perform reasoning in a semantic space is to categorize concepts...

This paper presents the concept of partition of a nonempty fuzzy set in nonempty convex fuzzy subsets. We restrict our discussion when the universal set, where are defined the fuzzy sets, is the real n-dimensional Euclidean space. We also show that a nonempty fuzzy set has a least one partition in nonempty convex fuzzy subsets.