A Topological Approach to Fuzzy Sets

This thesis presents a topological approach to studying fuzzy setsby means of modifier operators. Modifier operators are mathematical models, e.g., for hedges, and we present briefly different approaches to studying modifier operators. We are interested in compositional modifier operators, modifiers for short, and these modifiers depend on binary relations. We show that if a modifier depends on a reflexive and transitive binary relation on U, then there exists a unique topology on U such that this modifier is the closure operator in that topology. Also, if U is finite then there exists a lattice isomorphism between the class of all reflexive and transitive relations and the class of all topologies on U. We define topological similarity relation "≈" between L-fuzzy sets in an universe U, and show that the class LU/ ≈ is isomorphic with the class of all topologies on U, if U is finite and L is suitable. We consider finite bitopological spaces as approximation spaces, and we show that lower and upper approximations can be computed by means of α-level sets also in the case of equivalence relations. This means that approximations in the sense of Rough Set Theory can be computed by means of α-level sets. Finally, we present and application to data analysis: we study an approach to detecting dependencies of attributes in data base-like systems, called information systems.

Tuning Performance of Multi-threaded programs

Diplomityö tarkastelee säikeistettyä ohjelmointia rinnakkaisohjelmoinnin ylemmällä hierarkiatasolla tarkastellen erityisesti hypersäikeistysteknologiaa. Työssä tarkastellaan hypersäikeistyksen hyviä ja huonoja puolia sekä sen vaikutuksia rinnakkaisalgoritmeihin. Työn tavoitteena oli ymmärtää Intel Pentium 4 prosessorin hypersäikeistyksen toteutus ja mahdollistaa sen hyödyntäminen, missä se tuo suorituskyvyllistä etua. Työssä kerättiin ja analysoitiin suorituskykytietoa ajamalla suuri joukko suorituskykytestejä eri olosuhteissa (muistin käsittely, kääntäjän asetukset, ympäristömuuttujat...). Työssä tarkasteltiin kahdentyyppisiä algoritmeja: matriisioperaatioita ja lajittelua. Näissä sovelluksissa on säännöllinen muistinkäyttökuvio, mikä on kaksiteräinen miekka. Se on etu aritmeettis-loogisissa prosessoinnissa, mutta toisaalta huonontaa muistin suorituskykyä. Syynä siihen on nykyaikaisten prosessorien erittäin hyvä raaka suorituskyky säännöllistä dataa käsiteltäessä, mutta muistiarkkitehtuuria rajoittaa välimuistien koko ja useat puskurit. Kun ongelman koko ylittää tietyn rajan, todellinen suorituskyky voi pudota murto-osaan huippusuorituskyvystä.

Knapsack sets for cryptography

The basic goal of this study is to extend old and propose new ways to generate knapsack sets suitable for use in public key cryptography. The knapsack problem and its cryptographic use are reviewed in the introductory chapter. Terminology is based on common cryptographic vocabulary. For example, solving the knapsack problem (which is here a subset sum problem) is termed decipherment. Chapter 1 also reviews the most famous knapsack cryptosystem, the Merkle Hellman system. It is based on a superincreasing knapsack and uses modular multiplication as a trapdoor transformation. The insecurity caused by these two properties exemplifies the two general categories of attacks against knapsack systems. These categories provide the motivation for Chapters 2 and 4. Chapter 2 discusses the density of a knapsack and the dangers of having a low density. Chapter 3 interrupts for a while the more abstract treatment by showing examples of small injective knapsacks and extrapolating conjectures on some characteristics of knapsacks of larger size, especially their density and number. The most common trapdoor technique, modular multiplication, is likely to cause insecurity, but as argued in Chapter 4, it is difficult to find any other simple trapdoor techniques. This discussion also provides a basis for the introduction of various categories of non injectivity in Chapter 5. Besides general ideas of non injectivity of knapsack systems, Chapter 5 introduces and evaluates several ways to construct such systems, most notably the "exceptional blocks" in superincreasing knapsacks and the usage of "too small" a modulus in the modular multiplication as a trapdoor technique. The author believes that non injectivity is the most promising direction for development of knapsack cryptosystema. Chapter 6 modifies two well known knapsack schemes, the Merkle Hellman multiplicative trapdoor knapsack and the Graham Shamir knapsack. The main interest is in aspects other than non injectivity, although that is also exploited. In the end of the chapter, constructions proposed by Desmedt et. al. are presented to serve as a comparison for the developments of the subsequent three chapters. Chapter 7 provides a general framework for the iterative construction of injective knapsacks from smaller knapsacks, together with a simple example, the "three elements" system. In Chapters 8 and 9 the general framework is put into practice in two different ways. Modularly injective small knapsacks are used in Chapter 9 to construct a large knapsack, which is called the congruential knapsack. The addends of a subset sum can be found by decrementing the sum iteratively by using each of the small knapsacks and their moduli in turn. The construction is also generalized to the non injective case, which can lead to especially good results in the density, without complicating the deciphering process too much. Chapter 9 presents three related ways to realize the general framework of Chapter 7. The main idea is to join iteratively small knapsacks, each element of which would satisfy the superincreasing condition. As a whole, none of these systems need become superincreasing, though the development of density is not better than that. The new knapsack systems are injective but they can be deciphered with the same searching method as the non injective knapsacks with the "exceptional blocks" in Chapter 5. The final Chapter 10 first reviews the Chor Rivest knapsack system, which has withstood all cryptanalytic attacks. A couple of modifications to the use of this system are presented in order to further increase the security or make the construction easier. The latter goal is attempted by reducing the size of the Chor Rivest knapsack embedded in the modified system. '

Thermische Modellierung einer Mehrlagenplatine

In der Leistungselektronik spielt die Kenntnis des Wärmevrhaltens einer Platine eine sehr große Rolle. Die immer größeren Leistungsdichten unterstreichen die Wichtigkeit des Kenntnisses des Wärmeverhaltens. In der Platine funktionieren die Leistungskomponenten und Kupferlagen die große Ströme tragen als Leistungsquellen. Das Isolationsmaterial zwischen den Kupferlagen limitiert die maximale Temperatur der Platine. Dieses bringt eine Grentzung für den maximalen Strom der durch die Platine geführt werden kann. In dieser Arbeit wurden die maximalen Stromdichten im Worst-Case-Szenario einer Platine untersucht. Dafür wurde eine Testplatine entworfen und für die Testplatine ein thermisches Modell konstruiert. Die Effekte von Kühlung wurden auch untersucht. Die Bestimmtheit des Modells wurde mit Messungen überprüft.

Network effects: Scale development and implications for new product performance

More and more innovations currently being commercialized exhibit network effects, in other words, the value of using the product increases as more and more people use the same or compatible products. Although this phenomenon has been the subject of much theoretical debate in economics, marketing researchers have been slow to respond to the growing importance of network effects in new product success. Despite an increase in interest in recent years, there is no comprehensive view on the phenomenon and, therefore, there is currently incomplete understanding of the dimensions it incorporates. Furthermore, there is wide dispersion in operationalization, in other words, the measurement of network effects, and currently available approaches have various shortcomings that limit their applicability, especially in marketing research. Consequently, little is known today about how these products fare on the marketplace and how they should be introduced in order to maximize their chances of success. Hence, the motivation for this study was driven by the need to increase our knowledge and understanding of the nature of network effects as a phenomenon, and of their role in the commercial success of new products. This thesis consists of two parts. The first part comprises a theoretical overview of the relevant literature, and presents the conclusions of the entire study. The second part comprises five complementary, empirical research publications. Quantitative research methods and two sets of quantitative data are utilized. The results of the study suggest that there is a need to update both the conceptualization and the operationalization of the phenomenon of network effects. Furthermore, there is a need for an augmented view on customers’ perceived value in the context of network effects, given that the nature of value composition has major implications for the viability of such products in the marketplace. The role of network effects in new product performance is not as straightforward as suggested in the existing theoretical literature. The overwhelming result of this study is that network effects do not directly influence product success, but rather enhance or suppress the influence of product introduction strategies. The major contribution of this study is in conceptualizing the phenomenon of network effects more comprehensively than has been attempted thus far. The study gives an augmented view of the nature of customer value in network markets, which helps in explaining why some products thrive on these markets whereas others never catch on. Second, the study discusses shortcomings in prior literature in the way it has operationalized network effects, suggesting that these limitations can be overcome in the research design. Third, the study provides some much-needed empirical evidence on how network effects, product introduction strategies, and new product performance are associated. In general terms, this thesis adds to our knowledge of how firms can successfully leverage network effects in product commercialization in order to improve market performance.

Publication Statistics Sets of slides, transparents and microfiche 1991-

Vapaakappalekartuntaan perustuva tilasto Suomessa julkaistuista dia-, kalvo- ja filmikorttisarjoista vuodesta 1991 lähtien

Design and Material Selection of High-Speed Rotating Electrical Machines

The increasing emphasis on energy efficiency is starting to yield results in the reduction in greenhouse gas emissions; however, the effort is still far from sufficient. Therefore, new technical solutions that will enhance the efficiency of power generation systems are required to maintain the sustainable growth rate, without spoiling the environment. A reduction in greenhouse gas emissions is only possible with new low-carbon technologies, which enable high efficiencies. The role of the rotating electrical machine development is significant in the reduction of global emissions. A high proportion of the produced and consumed electrical energy is related to electrical machines. One of the technical solutions that enables high system efficiency on both the energy production and consumption sides is high-speed electrical machines. This type of electrical machines has a high system overall efficiency, a small footprint, and a high power density compared with conventional machines. Therefore, high-speed electrical machines are favoured by the manufacturers producing, for example, microturbines, compressors, gas compression applications, and air blowers. High-speed machine technology is challenging from the design point of view, and a lot of research is in progress both in academia and industry regarding the solution development. The solid technical basis is of importance in order to make an impact in the industry considering the climate change. This work describes the multidisciplinary design principles and material development in high-speed electrical machines. First, high-speed permanent magnet synchronous machines with six slots, two poles, and tooth-coil windings are discussed in this doctoral dissertation. These machines have unique features, which help in solving rotordynamic problems and reducing the manufacturing costs. Second, the materials for the high-speed machines are discussed in this work. The materials are among the key limiting factors in electrical machines, and to overcome this limit, an in-depth analysis of the material properties and behavior is required. Moreover, high-speed machines are sometimes operating in a harsh environment because they need to be as close as possible to the rotating tool and fully exploit their advantages. This sets extra requirements for the materials applied.