Limit Theorems and Applications of Set-Valued and Fuzzy by Shoumei Li,Y. Ogura,V. Kreinovich

March 19, 2017 admin

By Shoumei Li,Y. Ogura,V. Kreinovich

After the pioneering works by means of Robbins {1944, 1945) and Choquet (1955), the notation of a set-valued random variable (called a random closed set in literatures) was once systematically brought via Kendall {1974) and Matheron {1975). it's popular that the idea of set-valued random variables is a ordinary extension of that of basic real-valued random variables or random vectors. in spite of the fact that, as a result of the topological constitution of the distance of closed units and designated positive factors of set-theoretic operations ( cf. Beer [27]), set-valued random variables have many specific homes. this provides new meanings for the classical likelihood conception. as a result improvement during this zone long ago greater than 30 years, the idea of set-valued random variables with many purposes has turn into certainly one of new and energetic branches in likelihood conception. In perform additionally, we're frequently confronted with random experiments whose results should not numbers yet are expressed in inexact linguistic terms.

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