摘要
提出具有重域的非对称模糊集 Ｓ理论，具有重域的非对称双枝模糊集简称重域非对称双枝模糊集，重域非对称模糊集 Ｓ是由下—非对称双枝模糊集 Ｓ∧，上—非对称双枝模糊集 Ｓ∨生成得到的给出下列结果：１ 提出一次生成重域非对称双枝模糊集 Ｓ的并—普通分解定理： （１） Ｓ＝ ∪λ∈［－ １，１］λ（ Ｓ∧○ Ｓ∨）λ （２） Ｓ＝ ∪λ∈［－ １，１］λ（ Ｓ∧○ Ｓ∨） λ· （３） Ｓ＝ ∪λ∈［－ １，１］λ（ Ｈ∧ ○ Ｈ∨ ）λ（０．１） ２ 提出ｎ 次生成重域非对称双枝模糊集 Ｓ的并—普通分解定理： （１） Ｓ＝ ∪λ∈［－ １，１］λ（ Ｓ∧○ Ｓ∨）λ （２） Ｓ＝ ∪λ∈［－ １，１］λ（ Ｓ∧○ Ｓ∨） λ· （３） Ｓ＝ ∪λ∈［－ １，１］λ（ Ｈ∧ ○ Ｈ∨ ）λ（０．２） 这里，“○”是重域非对称双枝模糊集 Ｓ一次生成算子，“○”是重域非对称双枝模糊集 Ｓ
This paper proposes the theory of nonsymmetric both branch fuzzy set S* with the overlap universe. For simplicity, the nonsymmetric both branch fuzzy set with the overlap universe is called overlap universe nonsymmetric both branch fuzzy set. Overlap uninverse nonsymmetric both branch fuzzy set S* is generated by down asymmetic both branch fuzzy set S∧, up asymmetric both branch fuzzy set S∨. This paper proposes the following results: 1.The union ordinary resolution theorem of 1 generated overlap universe nonsymmetric both branch fuzzy set S*: 1° S*=∪λ∈[-1,1]λ(S∧○S∨) λ 2° S*=∪λ∈[-1,1]λ(S∧○S∨) λ· 3° S*=∪λ∈[-1,1]λ(H∧○H∨) λ (0.1) 2.The union ordinary resolution theorem of n generated overlap universe nonsymmetric both branch fuzzy set S*:1° S*=∪λ∈[-1,1]λ(S∧○S∨) λ 2° S*=∪λ∈[-1,1]λ(S∧○S∨) λ· 3° S*=∪λ∈[-1,1]λ(H∧○H∨) λ (0.2) where "○" is the 1 generated operation of overlap universe nonsymmetric both branch fuzzy set S*, "○" is the n generated operation of overlap universe nonsymmetric both branch fuzzy set S*.
基金
山东省自然科学基金
关键词
模糊集
双枝模糊集
重域
非对称
Fuzzy sets
Fuzzy mathematics
Fuzziness/both branch fuzzy sets
Union ordinary resolution theorem
1 generated
N generated
