In this paper, the unit interval 0, 1 will be denoted by I. LetX be a nonempty set. A member of I is called a fuzzy subset of X 1 . Throughout this paper, for A,B ∈ I we write A ≤ B if and only if A x ≤ B x for all x ∈ X. By A B, we mean that A ≤ B and B ≤ A, that is, A x B x for all x ∈ X. Also we write A < B if and only if A ≤ B and A/ B. If {Aj : j ∈ J} is a collection of fuzzy sets in X, th...

Despite being conceptually and algebraically straightforward, set coincidence has never received great attention within the framework of set-relational research, which has essentially focused on subset/superset relations. In this article, I advance a novel procedure called fuzzy-set coincidence analysis to systematically assess the degree of overlapping of two or multiple sets. Individual-level...

In this paper we present a level-controlled fuzzy memory element based on a generalization of the classical two-valued R-S flip-flop. Our memory element is small, simple and hazardless and thus suitable for a hardware implementation. We show that the circuit is stable with respect to small errors of input signals as well as to small errors of the gates; we show that this stability is conditione...

Record linkage is used in data privacy to evaluate the disclosure risk of protected data. It models potential attacks, where an intruder attempts to link records from the protected data to the original data. In this paper we introduce a novel distance based record linkage, which uses the Choquet integral to compute the distance between records. We use a fuzzy measure to weight each subset of va...

In this paper we face the problem of the automatic selection of relevant levels in a hierarchy of fuzzy segmentations. Today there is a wide variety of techniques (multiscale or hierarchical) to analyze an image with several levels of detail, but they don’t consider that not all the segmentations resulting from this process are interesting for the user. Here we propose a technique based in meas...

The degree of malignancy in brain glioma needs to be assessed by MRI findings and clinical data before operations. There have been previous attempts to solve this problem with a fuzzy rule extraction algorithm based on fuzzy min-max neural networks. We utilize support vector machines with floating search method to select relevant features and to predict the degree of malignancy. Computation res...

For a non-degenerate convex subset Y of the n-dimensional Euclidean space Rn , let K(Y ) be the family of all fuzzy sets of Rn , which are upper-semicontinuous, fuzzy convex and normal with compact supports contained in Y. We show that the space K(Y ) with the topology of endograph metric is homeomorphic to the Hilbert cube Q = [−1, 1] iff Y is compact; and the space K(Y ) is homeomorphic to {(...

We present a scheme for modeling expert like flexibility in query-answering through extending information bases with a knowledge-based soft computing layer for query processing. The knowledge extends the each attribute with a similarity measure on its domain. The measures are applied in a soft query interpretation into a fuzzy set expression of the information need to be satisfied. The softenin...

The Disjunctive Fuzzy Temporal Constraint Networks model allows to express complex temporal constraints, but its general complexity is exponential. There is a subset of these networks, having a tree structure, which can be solved in polinomial time. Thus, it can be interesting to decide if a Disjunctive Fuzzy Temporal Constraint Network can be reduced to an equivalent network with tree structur...

The Disjunctive Fuzzy Temporal Constraint Network model allows to express complex qualitative and quantitative temporal constraints, but its complexity is exponential. There are several subsets of these networks that can be solved in polynomial time. Another subset can be reduced to equivalent networks with a tree structure. In order to study the usefulness of these approaches, an evaluation ha...