A mathematical study of fuzzy logic; an algebraic approach

Fuzzy set theory and Fuzzy logic is studied from a mathematical point of view. The main goal is to investigatecommon mathematical structures in various fuzzy logical inference systems and to establish a general mathematical basis for fuzzy logic when considered as multi-valued logic. The study is composed of six distinct publications. The first paper deals with Mattila'sLPC+Ch Calculus. THis fuzzy inference system is an attempt to introduce linguistic objects to mathematical logic without defining these objects mathematically.LPC+Ch Calculus is analyzed from algebraic point of view and it is demonstratedthat suitable factorization of the set of well formed formulae (in fact, Lindenbaum algebra) leads to a structure called ET-algebra and introduced in the beginning of the paper. On its basis, all the theorems presented by Mattila and many others can be proved in a simple way which is demonstrated in the Lemmas 1 and 2and Propositions 1-3. The conclusion critically discusses some other issues of LPC+Ch Calculus, specially that no formal semantics for it is given.In the second paper the characterization of solvability of the relational equation RoX=T, where R, X, T are fuzzy relations, X the unknown one, and o the minimum-induced composition by Sanchez, is extended to compositions induced by more general products in the general value lattice. Moreover, the procedure also applies to systemsof equations. In the third publication common features in various fuzzy logicalsystems are investigated. It turns out that adjoint couples and residuated lattices are very often present, though not always explicitly expressed. Some minor new results are also proved.The fourth study concerns Novak's paper, in which Novak introduced first-order fuzzy logic and proved, among other things, the semantico-syntactical completeness of this logic. He also demonstrated that the algebra of his logic is a generalized residuated lattice. In proving that the examination of Novak's logic can be reduced to the examination of locally finite MV-algebras.In the fifth paper a multi-valued sentential logic with values of truth in an injective MV-algebra is introduced and the axiomatizability of this logic is proved. The paper developes some ideas of Goguen and generalizes the results of Pavelka on the unit interval. Our proof for the completeness is purely algebraic. A corollary of the Completeness Theorem is that fuzzy logic on the unit interval is semantically complete if, and only if the algebra of the valuesof truth is a complete MV-algebra. The Compactness Theorem holds in our well-defined fuzzy sentential logic, while the Deduction Theorem and the Finiteness Theorem do not. Because of its generality and good-behaviour, MV-valued logic can be regarded as a mathematical basis of fuzzy reasoning. The last paper is a continuation of the fifth study. The semantics and syntax of fuzzy predicate logic with values of truth in ana injective MV-algerba are introduced, and a list of universally valid sentences is established. The system is proved to be semanticallycomplete. This proof is based on an idea utilizing some elementary properties of injective MV-algebras and MV-homomorphisms, and is purely algebraic.

Research networks and scientific production in Economics: the recent Spanish experience

This paper studies Spanish scientific production in Economics from 1994 to 2004. It focuses on aspects that have received little attention in other bibliometric studies, such as the impact of research and the role of scientific collaborations in the publications produced by Spanish universities. Our results show that national research networks have played a fundamental role in the increase in Spanish scientific production in this discipline.

Integration of Economics into Life Cycle Assessment in the Finnish Pulp and Paper Industry

Taloudellisen laskennan yhdistäminen elinkaariarviointiin (LCA) on alkanut kiinnostaa eri teollisuuden aloja maailmanlaajuisesti viime aikoina. Useat LCA-tietokoneohjelmat sisältävät kustannuslaskentaominaisuuksia ja yksittäiset projektit ovat yhdistäneet ympäristö- ja talouslaskentamenetelmiä. Tässä projektissa tutkitaan näiden yhdistelmien soveltuvuutta suomalaiselle sellu- ja paperiteollisuudelle, sekä kustannuslaskentaominaisuuden lisäämistä KCL:n LCA-ohjelmaan, KCL-ECO 3.0:aan. Kaikki tutkimuksen aikana löytyneet menetelmät, jotka yhdistävät LCA:n ja taloudellista laskentaa, on esitelty tässä työssä. Monet näistä käyttävät elinkaarikustannusarviointia (LCCA). Periaatteessa elinkaari määritellään eri tavalla LCCA:ssa ja LCA:ssa, mikä luo haasteita näiden menetelmien yhdistämiselle. Sopiva elinkaari tulee määritellä laskennan tavoitteiden mukaisesti. Työssä esitellään suositusmenetelmä, joka lähtee suomalaisen sellu- ja paperiteollisuuden erikoispiirteistä. Perusvaatimuksena on yhteensopivuus tavanomaisesti paperin LCA:ssa käytetyn elinkaaren kanssa. Menetelmän yhdistäminen KCL-ECO 3.0:aan on käsitelty yksityiskohtaisesti.

Three essays in behavioral and experimental economics

The present PhD dissertation consists of three papers, organized in chapters, in the field of behavioral economics. This discipline studies economic behavior of individuals subject to limitations, such as bounded self-interest and bounded willpower. The behavior studied in the present thesis ranges from the complex decision to register as an organ donor, decision¬making in the presence of uncertainty and the decision to give money to a charitable organization. The first chapter aims at testing the effectiveness of an active-decision (AD) mechanism on the decision to become an organ donor in Switzerland, using field experiments. We found that stimulating participants' reflection on the topic of organ donation had a negative effect on the decision to become an organ donor. Moreover, a non-binding commitment nudge reduces putting off the decision, but does not lead to donation rates higher than in the control group. The results suggest that AD may be far more limited than previously thought and raise doubts about the efficacy of engaging potential donors to reflect on the topic of organ donation. Beyond carrying for others, behavioral economics also recognizes that individuals do not evaluate outcomes in absolute terms but rather by comparing them to some reference levels, called reference points. Above the reference points, economic outcomes are perceived as gains, while below these levels the same outcomes are felt as losses. The last two chapters analyze the importance of reference points in the evaluation of economic outcomes. Using a laboratory experiment where subjects played two consecutive lotteries, Chapter 2 studies the speed of adjustment of the reference point. We find that varying the probability of winning the first lottery has no effect on subjects' risk behavior regarding the second lottery. This result indicates a very fast adjustment of the reference point to the latest information. Chapter 3 investigates whether reference points are relevant for charitable preferences. Using actual donation decisions of participants in a laboratory experiment, the results suggest that reference points are not crucial for shaping charitable giving. -- Cette thèse de doctorat consiste en trois articles, organisés en chapitres, dans le domaine de l'économie comportementale. Cette discipline étudie le comportement d'agents économiques sujets à des limitations, telles qu'un égoïsme limité et une volonté limitée. Le comportement étudié dans cette thèse va de la décision complexe de devenir donneur d'organes, la prise de décision en présence d'incertitude à la décision de donner de l'argent à une oeuvre caritative. Le premier chapitre vise à tester l'efficacité d'un mécanisme de « décision active » (active decision, AD) sur la décision de devenir donneur d'organes en Suisse, et ce en recourant à deux expériences hors-laboratoire. Les résultats montrent que stimuler la réflexion des participants sur le don d'organes a un effet négatif sur la décision de devenir donneur. De plus, un mécanisme qui encourage les participants à prendre une décision sur le champ réduit la tendance à procrastiner, mais ne mène pas à un taux de donneurs plus élevé par rapport à un groupe de contrôle. Les résultats suggèrent que le mécanisme AD est bien plus limité que ce qui a été supposé jusqu'à maintenant. De plus, ils suscitent le doute quant à l'efficacité de stimuler la réflexion de potentiels donneurs sur le sujet du don d'organes. En plus de se soucier des autres, l'économie comportementale admet également que les individus n'évaluent pas les résultats de façon absolue, mais en comparant ceux-ci à des niveaux de références, souvent appelés points de référence. Au-dessus de ces points de référence, les résultats sont perçus en tant que gains, tandis qu'en-dessous ces mêmes résultats sont considérés comme des pertes. Les deux derniers chapitres analysent l'importance des points de référence dans diverses situations. A l'aide d'une expérience en laboratoire dans laquelle les participants participent à deux loteries consécutives, le chapitre 2 étudie la vitesse d'ajustement du point de référence. Le résultat montre que varier la probabilité de gagner la première loterie n'a aucun effet sur le comportement en matière de risques concernant la deuxième loterie. Cela indique un ajustement très rapide du point de référence. Le chapitre 3 vise à déterminer si les points de référence ont un rôle majeur concernant les préférences caritatives. Les données relatives aux décisions de don des participants d'une expérience en laboratoire montrent que les points de référence n'influencent pas significativement le don caritatif.

Improving Pitch Tracking Performance in Hard Noise Conditions by a Preprocessing Based on Mathematical Morphology

In this paper we show how a nonlinear preprocessing of speech signal -with high noise- based on morphological filters improves the performance of robust algorithms for pitch tracking (RAPT). This result happens for a very simple morphological filter. More sophisticated ones could even improve such results. Mathematical morphology is widely used in image processing and has a great amount of applications. Almost all its formulations derived in the two-dimensional framework are easily reformulated to be adapted to one-dimensional context

Economics breeds culture

Several recent papers document the influence and long lasting effects of technology on preferences. Simultaneously, cultural factors are often invoked to explain heterogeneity in preferences. These two ideas suggest that culture determines the short run equilibrium values of economic variables, but, in the long run, culture changes in response to the underlying economic fundamentals. We build a model in which preferences are endogenous and the diversity in preferences (the "cultural" diversity) is explained by the variation in the relevant economic fundamentals. This can help explain observed differences in labor market attachment among groups defined e.g., by citizenship, ethnicity or gender.

The Making of Experimental Economics: Witness Seminar on the Emergence of a Field

This book is the transcript of a witness seminar on the history of experimental economics, in which eleven high-profile experimental economists participated, including Nobel Laureates Vernon Smith, Reinhard Selten and Alvin Roth. The witness seminar was constructed along four different topics: skills, community, laboratory, and funding. The transcript is preceded by an introduction explaining the method of the witness seminar and its specific set-up and resuming its results. The participants' contribution and their lively discussion provide a wealth of insights into the emergence of experimental economics as a field of research.