Recently, Gasimov and Yenilmez proposed an approach for solving two kinds of fuzzy linear programming (FLP) problems. Through the approach, each FLP problem is first defuzzified into an equivalent crisp problem which is non-linear and even non-convex. Then, the crisp problem is solved by the use of the modified subgradient method. In this paper we will have another look at the earlier defuzzifi...

This contribution, rstly, motivates the need for a new, indistin-guishability-based approach to fuzzy orderings 1]. The main part is devoted to the basic theory, especially constructions, representations, and properties of hulls. Moreover, a general approach to orderings of fuzzy sets is presented. The current work, however, already concentrates on applications in fuzzy control and decision mak...

We associate a quasisymmetric function to any Bruhat interval in a general Coxeter group. This association can be seen to be a morphism of Hopf algebras to the subalgebra of all peak functions, leading to an extension of the cd-index of convex polytopes. We show how the Kazhdan-Lusztig polynomial of the Bruhat interval can be expressed in terms of this complete cd-index and otherwise explicit c...

In 1982, Dubois and Prade [4, 5] first introduced the concept of integration of fuzzy functions. Kaleva [7] studied the measurability and integrability for the fuzzy set-valued mappings of a real variable whose values are normal, convex, upper semicontinuous, and compactly supported by fuzzy sets in Rn. Existence of solutions of fuzzy integral equations has been studied by several authors [1, 2...

This paper describes the theory and algorithms of distance transform for fuzzy subsets, called fuzzy distance transform (FDT). The notion of fuzzy distance is formulated by first defining the length of a path on a fuzzy subset and then finding the infimum of the lengths of all paths between two points. The length of a path π in a fuzzy subset of the n-dimensional continuous space n is defined a...

In this paper, we propose a novel balanced scorecard design based on fuzzy analytic network process and then conduct performance evaluation through a case study. After analyzing the related works about balanced scorecard design and the algorithm of fuzzy analytic network process, we illustrate the improved balanced scorecard design. Firstly, the basic concepts for the balanced scorecards are in...

In this paper we propose a new adaptation of the Fuzzy Pattern Matching (FPM) to build a classifier which has a good discrimination ability for classes of non convex shape. We show the limits of the classical FPM. Then we expose some details about the correlated FPM method which we propose. Two other adaptations of the Fuzzy Pattern Matching are described and the results obtained and the result...

The group of area preserving diffeomorphisms of the annulus acts on its Lie algebra, the globally Hamiltonian vectorfields on the annulus. We consider a certain Hilbert space completion of this group (thinking of it as a group of unitary operators induced by the diffeomorphisms), and prove that the projection of an adjoint orbit onto a "Cartan" subalgebra isomorphic to Lz([0, 1]) is an infinite...

In this paper the cone of convex cooperative fuzzy games is studied. As in the classical case of convex crisp games, these games have a large core and the fuzzy Shapley value is the barycenter of the core. Surprisingly, the core and the Weber set coincide ∗This paper was written while the authors were research fellows at the ZiF (Bielefeld) for the project ”Procedural Approaches to Conflict Res...