1,721,141 research outputs found
A special class of fuzzy measures: Choquet integral and applications
No full textCore of an economy andWalras equilibria are considered for a product space X x[0; 1] using the
Choquet integral with respect to a fuzzy measure
Jubilea a zprávy
Full text linksummary:Horák, Peter; Mesiar, Radko: K šesťdesiatinám profesorky Kolibiarovej
Jubilea a zprávy
No full textsummary:Horák, Peter; Mesiar, Radko: K šesťdesiatinám profesorky Kolibiarovej
Special Issue on Set Valued Analysis 2021
No full textSet Valued Analysis plays an important role in the study of statistics, biology, economics, social sciences, optimal control, differential inclusions, image reconstruction and fixed point theory [...
Ordinální příeměry
No full textThe aim of the paper is the discussion of some types and classes of means on ordinal scales, especially kernel and shift invariant ordinal means, weighted ordinal means based on weighted divisible t-conorms (t-norms). Moreover, several types of ordinal arithmetic means are introduced
Approximation by Fuzzy Conjunctions
Full text linkTato práce se zabývá možnostmi aproximace dat fuzzy konjunkcemi, neboli trojúhelníkovými normami. Cílem bylo zjistit, jaké metody jsou vhodné pro prokládání dat parametrizovatelnými trojúhelníkovými normami, jak charakterizovat kvalitu proložení a jak vstupní data ovlivní výslednou aproximaci. Pro tyto účely byla nejdříve definována ztrátová funkce a poté byly uvedeny některé algoritmy pro optimalizaci této funkce. Byl použit jednoduchý algoritmus ternárního vyhledávání, ale i komplexnější metoda – optimalizace hejnem částic. Dále byly zavedeny znaky charakterizující kvalitu aproximace a nakonec byly zkoumány faktory ovlivňující výsledné proložení. Dále byla diskutována alternativní metoda aproximace využívající generátory t-norem a byla představena možná vylepšení již existujícího postupu využívajícího této metody. V závěru je naznačeno, jaké experimenty by bylo vhodné v budoucnu vykonat, aby bylo možné vybrat metodu aproximace vhodnou pro různé typy problémů.This thesis discusses ways of approximating data using fuzzy conjunctions (triangular norms). The aim of the project was to find out which methods are feasible to fit data by parametric triangular norms, how to characterize the quality of the approximation and how the input data influence the result of the approximation. For this, a loss function was defined and some algorithms for optimizing this function were introduced. The simple Ternary Search algorithm was used, as well as a more complex method of Particle Swarm Optimization. Furthermore, indicators characterizing the quality of the approximation were explored. Finally, the factors influencing the resulting approximation were discussed. An alternative method of approximation using generators of t-norms was also discussed and improvements to an existing procedure based on this method were presented. In the conclusion we suggest what experiments would be helpful to conduct in the future to help us choose the best technique for different types of problems
Triangular norms and related operators in L*-fuzzy set theory
No full textThe logical operators on the unit interval (triangular norms and conorms, negators, implicators and uninorms) are extended to the lattice L* = {(x1, x2) | (x1, x2) ∈ [0, 1]^2 and x1 + x2 ≤ 1} and characterized, where L* is the underlying lattice of both interval-valued and intuitionistic fuzzy set theory
On Stability of Families for Improper Aggregation Operators
No full textAGOP: International Summer School on Aggregation OperatorsThis work extends the notion of consistency in terms of stability for Families of Aggregation Operators (FAO), as defined in previous works. The notion of stability proposed in this work, not only extends the previous one, but it can be applied to a wider set of FAOs, particularly, to those that we name here as Family of Improper Aggregation Operators (FIAO), or improper FAOs. When the aggregated value cannot be considered as a new item from the input, the present definition of onsistency cannot be applied. This is usual in several areas, namely in the development of social, economic and political indexes, as far as the aggregation process typically yield a new and different concept from the input elements.Ministerio de Economía, Comercio y Empresa (España)Depto. de Estadística e Investigación OperativaFac. de Ciencias MatemáticasTRUEpu
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