Abstract. Dual Gramian analysis is one of the fundamental tools developed in a series of papers [37, 40, 38, 39, 42] for studying frames. Using dual Gramian analysis, the frame operator can be represented as a family of matrices composed of the Fourier transforms of the generators of (generalized) shiftinvariant systems, which allows us to characterize most properties of frames and tight frames...

The correlation between the performance of attributes and the overallsatisfaction such as they are perceived by the customers is often used tocalculate the importance of attributes in the crisp case. Recently, the methodwas extended, based on the standard Zadeh extension principle, to the fuzzycase, taking into account the specificity of the human thinking. Thedifficulties of calculation are im...

Field of Study Social Sciences, Business and Administration Degree Programme Degree Programme in International Business Author(s) Wei Hu & Yuanyuan Xie Title of Thesis Comparative Study of McDonald's and Kentucky Fried Chicken (KFC) development in China Date 28.04.2013 Pages/Appendices 53+2 Supervisor(s) Jari Niemelä &Heikki Likitalo Client Organization/Partners McDonald's Corporation & Kentuck...

We study the Cauchy problem for differential equations, considering its parameters and/or initial conditions given by fuzzy sets. These fuzzy differential equations are approached in two different ways: (a) by using a family of differential inclusions; and (b) the Zadeh extension principle for the solution of the model. We conclude that the solutions of the Cauchy problem obtained by both are t...

A concept of fuzzy-mathematical programming problem is introduced in this paper. It is a problem of optimizing an objective function subject to a constraint set which is a fuzzy set. Solution of a FMP problem is defined as a fuzzy set by means of the "Extension principle" applied to a set-to-set mapping. Our philosophy is applied to the linear programming problem, where the set of all feasible ...