Latest scientific and engineering advances have started to recognize the need of defining multiple types of uncertainty. Probabilistic modeling cannot handle situations with incomplete or little information on which to evaluate a probability, or when that information is nonspecific, ambiguous, or conflicting [1]. Many generalized models of uncertainty have been developed to treat such situation...

In this work we deal with sandwich graphs G=(V,E) and present the notion of vertices f-controlled by a subset MDV . We introduce the generalized max-controlled set problem (GMCSP), where minimum gaps (defined by function f) and positive weights are associated to each vertex of V. In this case, the objective is to find a sandwich graph G in order to maximize the sum of the weights associated to ...

We develop a valuation theory for generalized polygons similar to the existing theory for dense near polygons. This valuation theory has applications for the study and classification of generalized polygons that have full subpolygons as subgeometries.

in this paper, we introduce λκ−closed sets and study its properties in generalized topological spaces.

In the study of a unified treatment of uncertainty modelled by means of combining probability and fuzzy set theory, Goodman [4] pointed out the equivalence of a fuzzy set and a class of random sets. Wang and Sanchez [13] introduced the theory of falling shadows which directly relates probability concepts with the membership function of fuzzy sets. Falling shadow representation theory shows us t...

Using the infinitesimal theory of elasticity and analytical formulation, displacements and stresses based on the high-order shear deformation theory (HSDT) is presented for axisymmetric thick-walled cylinders made of functionally graded materials under internal and/or external uniform pressure. The material is assumed to be isotropic heterogeneous with constant Poisson’s ratio and radially varyi...

in this paper, the concept of countably near ps-compactness inl-topological spaces is introduced, where l is a completely distributive latticewith an order-reversing involution. countably near ps-compactness is definedfor arbitrary l-subsets and some of its fundamental properties are studied.

in this paper, we have dened and studied a generalized form of topological vectorspaces called s-topological vector spaces. s-topological vector spaces are dened by using semi-open sets and semi-continuity in the sense of levine. along with other results, it is provedthat every s-topological vector space is generalized homogeneous space. every open subspaceof an s-topological vector space is ...