# ON CHOQUET INTEGRALS OF MEASURABLE FUZZY NUMBER-VALUED FUNCTIONS

• Jung, Lee-Chae (Department Of Mathematics And Computer Science, Konkuk University) ;
• Kim, Tae-Kyun (Institute Of Science Education, Kongju National University) ;
• Jeon, Jong-Duek (Department Of Mathematics, Kyunghee University) ;
• Kim, Won-Ju (Department Of Mathematics, Kyunghee University)
• Published : 2004.02.01
• 85 6

#### Abstract

In this paper, we consider fuzzy number-valued functions and fuzzy number-valued Choquet integrals. And we also discuss positively homogeneous and monotonicity of Choquet integrals of fuzzy number-valued functions(simply, fuzzy number-valued Choquet integrals). Furthermore, we prove convergence theorems for fuzzy number-valued Choquet integrals.

#### Keywords

fuzzy measures;fuzzy number-valued Choquet integrals;Hausdorff metric

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#### Cited by

1. On Choquet Integrals with Respect to a Fuzzy Complex Valued Fuzzy Measure of Fuzzy Complex Valued Functions vol.10, pp.3, 2010, https://doi.org/10.5391/IJFIS.2010.10.3.224
2. Some Properties of Choquet Integrals with Respect to a Fuzzy Complex Valued Fuzzy Measure vol.11, pp.2, 2011, https://doi.org/10.5391/IJFIS.2011.11.2.113