Fuzzy subgroups, algebraic and topological points of view and complex analysis

Fuzzy subsets and fuzzy subgroups are basic concepts in fuzzy mathematics. We shall concentrate on fuzzy subgroups dealing with some of their algebraic, topological and complex analytical properties. Explorations are theoretical belonging to pure mathematics. One of our ideas is to show how widely fuzzy subgroups can be used in mathematics, which brings out the wealth of this concept. In complex analysis we focus on Möbius transformations, combining them with fuzzy subgroups in the algebraic and topological sense. We also survey MV spaces with or without a link to fuzzy subgroups. Spectral space is known in MV algebra. We are interested in its topological properties in MV-semilinear space. Later on, we shall study MV algebras in connection with Riemann surfaces. In fact, the Riemann surface as a concept belongs to complex analysis. On the other hand, Möbius transformations form a part of the theory of Riemann surfaces. In general, this work gives a good understanding how it is possible to fit together different fields of mathematics.

Role of references in international industrial marketing : a theory-building case study about supplier’s processes of utilizing references

Scientific studies regarding specifically references do not seem to exist. However, the utilization of references is an important practice for many companies involved in industrial marketing. The purpose of the study is to increase the understanding about the utilization of references in international industrial marketing in order to contribute to the development of a theory of reference behavior. Specifically, the modes of reference usage in industry, the factors affecting a supplier's reference behavior, and the question how references are actually utilized, are explored in the study. Due to the explorative nature of the study, a research design was followed where theory and empirical studies alternated. An Exploratory Framework was developed to guide a pilot case study that resulted in Framework 1. Results of the pilot study guided an expanded literature review that was used to develop first a Structural Framework and a Process Framework which were combined in Framework 2. Then, the second empirical phase of the case study was conducted in the same (pilot) case company. In this phase, Decision Systems Analysis (DSA) was used as the analysis method. The DSA procedure consists of three interviewing waves: initial interviews, reinterviews, and validating interviews. Four reference decision processes were identified, described and analyzed in the form of flowchart descriptions. The flowchart descriptions were used to explore new constructs and to develop new propositions to develop Framework 2 further. The quality of the study was ascertained by many actions in both empirical parts of the study. The construct validity of the study was ascertained by using multiple sources of evidence and by asking the key informant to review the pilot case report. The DSA method itself includes procedures assuring validity. Because of the choice to conduct a single case study, external validity was not even pursued. High reliability was pursued through detailed documentation and thorough reporting of evidence. It was concluded that the core of the concept of reference is a customer relationship regardless of the concrete forms a reference might take in its utilization. Depending on various contingencies, references might have various tasks inside the four roles of increasing 1) efficiency of sales and sales management, 2) efficiency of the business, 3) effectiveness of marketing activities, and 4) effectiveness in establishing, maintaining and enhancing customer relationships. Thus, references have not only external but internal tasks as well. A supplier's reference behavior might be affected by many hierarchical conditions. Additionally, the empirical study showed that the supplier can utilize its references as a continuous, all pervasive decision making process through various practices. The process includes both individual and unstructured decision making subprocesses. The proposed concept of reference can be used to guide a reference policy recommendable for companies for which the utilization of references is important. The significance of the study is threefold: proposing the concept of reference, developing a framework of a supplier's reference behavior and its short term process of utilizing references, and conceptual structuring of an unstructured and in industrial marketing important phenomenon to four roles.

Applying collective intelligence to idea evaluation at the front end of innovation

The study focuses on the front end of innovation process. Due to changes in innovation policies and paradigms customers, users and shopfloor employees are becoming increasingly important sources of knowledge. New methods are needed for processing information and ideas coming from multiple sources more effectively. The aim of this study is to develop an idea evaluation tool suitable for the front end of innovation process and capable of utilizing collective intelligence. The study is carried out as a case study research using constructive research approach. The chosen approach suits well for the purposes of the study. The constructive approach focuses on designing new constructs and testing them in real life applications. In this study a tool for evaluating ideas emerging from the course of everyday work is developed and tested in a case organization. Development of the tool is based on current scientific literature on knowledge creation, innovation management and collective intelligence and it is tested in LUT Lahti School of Innovation. Results are encouraging. The idea evaluation tool manages to improve performance at the front end of innovation process and it is accepted in use in the case organization. This study provides insights on what kind of a tool is required for facilitating collective intelligence at the front end of innovation process.

Verkottuneen innovaatiotoiminnan menestystekijät 2008-2009 - Raportti tutkimustuloksista

Tässä raportissa kuvaillaan tutkimustuloksia, jotka syntyivät syksyllä 2008 – keväällä 2009 tehdyssä kyselytutkimuksessa. Kysely kohdistui verkottuneen innovaatiotoiminnan eri osa-alueille. Kyselyssä tutkittiin muun muassa innovaatiotoiminnan ominaispiirteitä, tutkimus- ja kehitysyhteistyötä, innovaatioiden suojaamista, yritysten välisiä kumppanuuksia, kansainvälistymistä, standardointia, henkilöstöjohtamiskäytäntöjä, luottamusta, ja yrityksen uudistumiskykyä. Tässä raportissa kuvaillaan näiden tekijöiden tilaa suomalaisten yritysten keskuudessa, ja esitetään myös toimialakohtaisia eroja.

Arioso

Soitinnus: Jousiork.

Chorali : [for 32 winds, percussion, harp and celesta]

Soitinnus: puhaltimet (32), lyömäsoittimet, harppu, celesta.

Pianokonsertto II [!] [Pianokonsertto nro 1, op. 45]

Soitinnus: piano, orkesteri.

Mestarin nuuskarasia

Digitoitu 21. 8. 2008.

Pianokonserto nro 2

Soitinnus: piano, orkesteri.

Viulukonsertto 2, g

Digitoitu 9. 9. 2008.

Elegia

Soitinnus: viulu, piano

Balladi

Digitoitu 24. 4. 2008.

Rapsodia I

Digitoitu 11. 6. 2008.

Kuutamo Juppiterissa

Digitoitu 11. 6. 2008.