A new knowledge representation language, called QDLP, which extends DLP to deal with uncertain values is introduced. Each (quantitative) rule is assigned a certainty degree interval (a subinterval of [0; 1℄). The propagation of uncertainty information from the premises to the conclusion of a quantitative rule is achieved by means of triangular norms (T -norms). Different T -norms induce differe...

PREFACE 1. CONVERGENT. Does the set of cyclic operators have a non-empty interior?... 2. WEIGHTED. Is every part of a weighted shift similar to a weighted shift?. . . . 3. INVARIANT. If an intransitive operator has an inverse, is its inverse also intransitive? 4. TRIANGULAR. Is every normal operator the sum of a diagonal operator and a compact one? 5. DILATED. Is every subnormal Toeplitz operat...

in this paper, some elementary operations on triangular fuzzynumbers (tfns) are defined. we also define some operations on triangularfuzzy matrices (tfms) such as trace and triangular fuzzy determinant(tfd). using elementary operations, some important properties of tfms arepresented. the concept of adjoints on tfm is discussed and some of theirproperties are. some special types of tfms (e.g. pu...

This paper deals with the upwind finite volume method applied to the linear advection equation on a bounded domain and with natural boundary conditions. We introduce what we call the geometric corrector which is a sequence associated with every finite volume mesh in Rnd and every non vanishing vector a of Rnd. First we show that if the continuous solution is regular enough and if the norm of th...

The objective of this study is to investigate the fuzzy subhypernear-modules over hypernear-ring by using a triangular norm, which T-fuzzy are generalization submodules hyper near-modules, and some related properties discussed. Idempotent subhypernear-module hypernear-module suggested. relation between level subset presented. Also, image inverse under mapping introduced. direct product i...

The issue of mesh quality for unstructured triangular and tetrahedral meshes is considered. The theoretical background to finite element methods is used to understand the basis of present-day geometrical mesh quality indicators. Simple tetrahedral mesh quality measures using both geometrical and solution information are described. Some of the issues in mesh quality for unstructured tetrahedral ...

The variety of RDP-algebras forms the algebraic semantics of RDPlogic, the many-valued propositional logic of the revised drastic product left-continuous triangular norm and its residual. We prove a Priestley duality for finite RDP-algebras, and obtain an explicit description of coproducts of finite RDP-algebras. In this light, we give a combinatorial representation of free finitely generated R...

This is a survey on an analogue of tropical convexity developed over the max-min semiring, starting with the descriptions of max-min segments, semispaces, hyperplanes and an account of separation and non-separation results based on semispaces. There are some new results. In particular, we give new “colorful” extensions of the max-min Carathéodory theorem. In the end of the paper, we list some c...

In this paper we give bounds for the error arising in the approximation of the logarithm of a block triangular matrix T by Padé approximants of the function f (x)= log[(1 + x)/(1 − x)] and partial sums of Gregory’s series. These bounds show that if the norm of all diagonal blocks of the Cayley-transform B = (T − I )(T + I )−1 is sufficiently close to zero, then both approximation methods are ac...