On a Class of Fuzzy Random Vectors

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  • FUKUDA Tokuo
    Department of Management, Faculty of Management, Otemon Gakuin University

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  • ある種のファジィ確率ベクトルについての一考察
  • アルシュ ノ ファジィ カクリツ ベクトル ニ ツイテ ノ イチコウサツ

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Abstract

In this paper, the author proposes a newly developed concept of fuzzy random vectors(FRVCs), which have intrinsically both properties of fuzziness and randomness and they are considered to be obtained as vague perceptions of ordinary non-fuzzy random vectors. Firstly, fuzzy vectors are introduced by using the set representation approach of fuzzy sets. Secondly, using the proposed fuzzy vectors and the theory of correspondences, FRVCs are defined as the families of measurable correspondences. Some of measurability properties of proposed FRVCs are also investigated. Adopting the multiple-valued logic known as the extension principle of fuzzy sets, the expectations of FRVCs are finally introduced.

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