Showing papers in "Fuzzy Sets and Systems in 2004"

TL;DR: The objective of this paper is to provide an account of genetic fuzzy systems, with special attention to genetic fuzzy rule-based systems.

TL;DR: New methods for measuring distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets, based on the Hausdorff metric, are suggested.

TL;DR: Experimental results show that fuzzy–rough reduction is more powerful than the conventional rough set-based approach, and classifiers that use a lower dimensional set of attributes which are retained by fuzzy-rough reduction outperform those that employ more attributes returned by the existing crisp rough reduction method.

TL;DR: This paper shows how a small number of simple fuzzy if-then rules can be selected for pattern classification problems with many continuous attributes and proposes an idea of utilizing the two rule evaluation measures as prescreening criteria of candidate rules for fuzzy rule selection.

TL;DR: The basic analytical and algebraic properties of triangular norms are presented and continuity as well as the important classes of Archimedean, strict and nilpotent t-norms are discussed.

TL;DR: The role of the existing body of fuzzy set aggregation operations in various kinds of problems where the process of fusion of items coming from several sources is central is discussed.

TL;DR: A method for constructing a Hausdorff fuzzy metric on the set of the nonempty compact subsets of a given fuzzy metric space (in the sense of George and Veeramani) is proposed.

TL;DR: A rule-base self-extraction and simplification method is proposed to establish interpretable fuzzy models from numerical data and some approximate similarity measures are presented and a parameter fine-tuning mechanism is introduced to improve the accuracy of the simplified model.

TL;DR: A fuzzy Banach contraction theorem for M -complete fuzzy metric spaces is proved and the result is shown to be equivalent to the inequality of theorems in the context of discrete-time spaces.

TL;DR: Several extensions that mainly deal with the nature and the handling of the weights attached to formulas, are suggested or surveyed: the leximin-based comparison of proofs, the use of partially ordered scales for the weights, or the management of fuzzily restricted variables.

TL;DR: A theory of almost periodic fuzzy functions, i.e. of the almost periodic functions of real variable and with values fuzzy real numbers, is developed and applications to fuzzy differential equations and to (fuzzy) dynamical systems are given.

TL;DR: An approach to possibilistic fuzzy clustering that avoids a severe drawback of the conventional approach, namely that the objective function is truly minimized only if all cluster centers are identical, is explored.

TL;DR: A new hybrid adaptive fuzzy control method is proposed by combining the above adaptive fuzzy system with the H ∞ control technique, which can guarantee the stability of the whole closed-loop systems and obtain good tracking performance as well.

TL;DR: Experimental results verify that the proposed control systems can achieve favorable tracking performance and robust with regard to parameter variations and external load disturbance.

TL;DR: This second part (out of three) of a series of position papers on triangular norms deals with general construction methods based on additive and multiplicative generators, and on ordinal sums.

TL;DR: An internal characterization of those fuzzy metric spaces that are completable is presented and some applications are derived and some illustrative examples are given.

TL;DR: A novel weighted max–min model for fuzzy goal programming (FGP) and for fuzzy multiple objective decision-making is proposed and can be effectively incorporated with other approaches to FGP and is superior to the weighted additive approach.

TL;DR: A reliable fuzzy control design scheme via state feedback is proposed in terms of LMIs and the result is extended to the case of observer-based reliable fuzzyControl systems with time delay.

TL;DR: The method proposed imposes some constraints on the tuning of the parameters and performs membership function merging to attain interpretability goals, and will be easy to assign linguistic labels to each of the membership functions obtained, after training.

TL;DR: This work presents an innovative fuzzy identification cost estimation modeling technique to deal with linguistic data, and automatically generate fuzzy membership functions and rules, and observed that the fuzzy identification model provided significantly better cost estimations than the three COCOMO models.

TL;DR: A modified dissimilarity measure for symbolic and fuzzy data is given and FCM clustering algorithms for these mixed data types are given and it is shown that the modified Dissimilarity gives better results.

TL;DR: A measure of interactivity between marginal distributions of a joint possibility distribution C is introduced as the expected value of the interactivity relation between the γ-level sets of its marginal distributions.

TL;DR: Simulation results have shown that the hierarchical fuzzy control scheme can control the ball from a point to another without hitting the obstacles and in the least time.

TL;DR: It is shown that a two person zero sum matrix game with fuzzy pay-offs is equivalent to a primal–dual pair of such fuzzy linear programming problems with fuzzy parameters.

TL;DR: This paper proposes an efficient algorithm based on the labeling method for solving the linear fractional programming case, which begins with primal feasibility and proceeds to obtain dual feasibility while maintaining complementary slackness until the primal optimal solution is found.

TL;DR: A definition of a Fuzzy Prolog Language that models B([0,1])-valued FuzzY Logic, and the implementation of an interpreter for this conceived language using constraint logic programming over real numbers is presented.

TL;DR: The role of conditioning is emphasized (in a proper framework, i.e. de Finetti's coherence) to get rid of many controversial aspects of fuzzy set theory and shows how the concept of possibility function naturally arises as a coherent conditional probability.

TL;DR: Some quadrature rules for the Henstock integral of fuzzy-number-valued mappings are introduced by giving error bounds for mappings of bounded variation and of Lipschitz type.