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http://dx.doi.org/10.14317/jami.2012.30.3_4.647

A UNIFORM STRONG LAW OF LARGE NUMBERS FOR PARTIAL SUM PROCESSES OF FUZZY RANDOM SETS

Kwon, Joong-Sung (Department of Mathematics, Sun Moon University)
Shim, Hong-Tae (Department of Mathematics, Sun Moon University)

Publication Information

Journal of applied mathematics & informatics / v.30, no.3_4, 2012 , pp. 647-653 More about this Journal

Abstract

In this paper, we consider fuzzy random sets as (measurable) mappings from a probability space into the set of fuzzy sets and prove a uniform strong law of large numbers for sequences of independent and identically distributed fuzzy random sets. Our results generalize those of Bass and Pyke(1984)and Jang and Kwon(1998).

Keywords

Random set; fuzzy random set; strong law of large numbers; uniform law; partial sum process; boundary condition;

Citations & Related Records

Reference

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