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Some ordering properties of the expectation for multi-dimensional fuzzy random variables

D. Wang
장전수학회 (Jangjeon Mathematical Society)|2007.01|Advanced Studies in Contemporary Mathematics|제14권 제1호|pp. 29-36

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주제분류수학

초록

Abstract

We introduce a class of subsets lattice on the collection of the sets of Rn by means of ordering induced from a cone, and obtain some structure properties for this lattice. Based on the lattice structure, some ordering properties of the expectation of fuzzy random variables are obtained.

참고문헌 (9)

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  6. X. Wang, "Reasonable properties for ordering of fuzzy quantities (II)", 118, pp.387~405 (2001)
  7. Y. Yoshida, "A Fuzzy ordering on multi-dimensional fuzzy sets induced fromconvex cones", 130, pp.343~355 (2002)
  8. K.L. Zhang, "On fuzzy number lattice (R,)", 92, pp.113~122 (1997)
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