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$(\alpha,\beta)$-níveis, métrica de Moore e sequências de números fuzzy intuicionistas

Claudilene Gomes da CostaBenjamín BedregalAdrião D. Dória Neto

In this paper will defined a metric on intuitionistic fuzzy number called metric Moore. This metric allows to provide the set of all intuitionistic fuzzy number a topology because it allows to define open balls of intuitionistic fuzzy numbers. Moreover, this metric will also allows to study the notion of convergent sequences of intuitionistic fuzzy numbers, or equivalently, the notion of limits of sequences of intuitionistic fuzzy numbers which is very effective, for example, to study the long-term behavior of Markov chains. In this paper also will be introduced the definition of convergent sequence of intuitionistic fuzzy number the sum and product operations, identify the sequence of intutionistic fuzzy numbers can be described as the joint formed by their images.

http://www.lbd.dcc.ufmg.br/colecoes/cbsf/2012/0020.pdf

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