Mostra el registre d'ítem simple

dc.contributor.authorKuz'min, V. B.
dc.contributor.authorTravkin, S.I.
dc.date.accessioned2007-09-18T14:01:03Z
dc.date.available2007-09-18T14:01:03Z
dc.date.issued1998
dc.identifier.issn1134-5632
dc.identifier.urihttp://hdl.handle.net/2099/3507
dc.description.abstractThe Shaffer's definition of the upper and lower expectations of fuzzy variables is considered with respect to randomized fuzzy sets. The notion of randomized fuzzy sets is introduced in order to evaluate fuzzy statistical indices for an arbitrary chosen fuzzy variable. Provided the distribution of the mathematical expectation of a randomized fuzzy variable is known, it is possible to adopt the traditional methods of testing statistical hypotheses for fuzzy variables. We show that this distribution has a specific analytical structure and may be represented by means of Wan-der-Mond determinant derivatives. The relation between the notions of expectations of fuzzy variables and the Pareto optimality is demonstrated. The mathematical expectation of the upper and lower expected values of a randomized fuzzy variable and their asymptotics are calculated.
dc.format.extent99-114
dc.language.isoeng
dc.publisherUniversitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica
dc.relation.ispartofMathware & soft computing . 1998 Vol. 5 Núm. 1
dc.rightsReconeixement-NoComercial-CompartirIgual 3.0 Espanya
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.otherRandomized fuzzy variable
dc.subject.otherExpectations
dc.subject.otherPareto
dc.subject.otherWan-der-Mond
dc.titleThe distribution of mathematical expectations of a randomized fuzzy variable
dc.typeArticle
dc.subject.lemacConjunts, Teoria de
dc.subject.amsClassificació AMS::03 Mathematical logic and foundations::03E Set theory
dc.rights.accessOpen Access


Fitxers d'aquest items

Thumbnail

Aquest ítem apareix a les col·leccions següents

Mostra el registre d'ítem simple