In a fuzzy metric space (X;M; *), where * is a continuous t-norm,a locally fuzzy contraction mapping is de ned. It is proved that any locally fuzzy contraction mapping is a global fuzzy contractive. Also, if f satis es the locally fuzzy contractivity condition then it satis es the global fuzzy contrac-tivity condition.    

We consider space-bounded computations on a random-access machine, where the input is given read-only medium, output to be produced write-only sequential-access and available workspace allows random reads writes but of limited capacity. The length N elements, by computation, capacity O ( S ) bits for some predetermined parameter ≥ lg . present state-of-the-art priority queue—called an adjustabl...

We solve the special case of the Euclidean Traveling Salesman Problem where II m cities lie on the boundary of the convex hull of all n cities, and the other m cities lie on a line segment inside this convex hull by an algorithm which needs O(mn) time and O(n) space.

Non-indigenous ascidians are transported across oceans in vessel-hull fouling communities, and regional traffic plays a role their secondary spread. We found the ascidian Ascidiella scabra (Müller, 1776) hull-fouling community of an oceanographic vessel confined to waters southwestern Atlantic Southern Oceans. The previously known distribution this species was restricted its native are...

In this paper, new definitions of a fuzzy basis and a fuzzy dimension for a fuzzy vector space are presented. A fuzzy basis for a fuzzy vector space (E, μ) is a fuzzy set β on E. The cardinality of a fuzzy basis β is called the fuzzy dimension of (E, μ). The fuzzy dimension of a finite dimensional fuzzy vector space is a fuzzy natural number. For a fuzzy vector space, any two fuzzy bases have t...

We provide an explicit description of the convex hull of the set of matrices of bounded rank, restricted to balls for the spectral norm. As applications, we deduce two relaxed forms of the rank function restricted to balls for the spectral norm: one is the quasiconvex hull of this rank function, another one is the convex hull of the rank function, thus retrieving Fazel's theorem (2002). Key-wor...

A tetrahedralization of a point set in 3-dimensional space is Hamiltonian if its dual graph has a Hamiltonian cycle. Let S be a set of n points in general position in 3-dimensional space. We prove that by adding to S at most ⌊ 2 ⌋ Steiner points in the interior of the convex hull of S, we obtain a point set that admits a Hamiltonian tetrahedralization. We also obtain an O(m 3 2 ) + O(n log n) a...

In this paper we introduce an algorithm for the creation of polyhedral approximations for certain kinds of digital objects in a three-dimensional space. The objects are sets of voxels represented as strongly connected subsets of an abstract cell complex. The proposed algorithm generates the convex hull of a given object and modifies the hull afterwards by recursive repetitions of generating con...

Most existing distances between intuitionistic fuzzy sets are defined in linear plane representations in 2D or 3D space. Here, we define a new interpretation of intuitionistic fuzzy sets as a restricted spherical surface in 3D space. A new spherical distance for intuitionistic fuzzy sets is introduced. We prove that the spherical distance is different from those existing distances in that it is...