On Statistical Convergence in Credibility Space
Ekrem Savaş, Ömer Kı̇şı̇, Mehmet Gürdal
Abstract
In this paper, we present the notions of statistically convergent sequence for fuzzy variables, statistically Cauchy sequence in credibility space, and present a kind of statistical completeness for credibility space. Furthermore, the conditions of statistical convergence almost surely (a.s.), statistical convergence in credibility, statistical convergence in mean, statistical convergence in distribution and statistical convergence uniformly almost surely (u.a.s.) of fuzzy variable sequences are examined. We have proved relations between these notions.
Topics & Concepts
MathematicsCredibilityConvergence (economics)Cauchy distributionCauchy sequenceModes of convergence (annotated index)Convergence testsNormal convergenceSequence (biology)Uniform convergenceRate of convergenceStatisticsDiscrete mathematicsComputer scienceTopological spaceTopological vector spaceGeneticsBiologyBandwidth (computing)Computer networkEconomic growthPolitical scienceIsolated pointEconomicsChannel (broadcasting)LawApproximation Theory and Sequence SpacesFuzzy Systems and OptimizationMulti-Criteria Decision Making