[IEEE 2008 IEEE 16th International Conference on Fuzzy Systems (FUZZ-IEEE) - Hong Kong, China...
Transcript of [IEEE 2008 IEEE 16th International Conference on Fuzzy Systems (FUZZ-IEEE) - Hong Kong, China...
1358
978-1-4244-1819-0/08/$25.00 c©2008 IEEE
∈ ∈ ∈
∪ ∪ ∪ ∪
⊆∪
∈∈
∈
∪
∈
∞
2008 IEEE International Conference on Fuzzy Systems (FUZZ 2008) 1359
∈∈
∈⊆
∈ ⊆ ×∪ ∈
∈
∈⊆
∈⊆
∈∈
∈∈ ∈
∈
∈ ∈
∈∈
∈
→ ¬ ∩→ ¬ ∩ ∃ ≤
∩
≤
∀ ¬∃ ¬≥ ¬ ≤
≤ ∩ ≥
μμ
∈ ′
μμμ =∩
μμμ =∪
μμ −=
≠
∈
∈
∈
Δ=
Δ⊆
=
1360 2008 IEEE International Conference on Fuzzy Systems (FUZZ 2008)
−=¬
=∩
Δ∈=∃
¬∨=≤ +=∈+
Δ⊆
∉
∈=
⊆
=
−=¬
=∩
≠ …≠
∀ ¬∃ ¬≥ ¬ ≤
≤ ∩ ≥
∩ ∩
∃ ∃ ∃∃ ∃
≤ ≤ ≤∀ ∨ ∨
⊆ ⊆
⊆ ∀ ∈⊆ ⊆ ∀ ∈
≥ ≤≤ ∈ ∈
≥
≤
≤ ≤ψ
ψψ ψ
ψ ψ ψψ ψ ψ
ψ ψ
∀ η ∈ η
ϕ
μ
μ μ
ϕ
ϕ
∈ϕ
2008 IEEE International Conference on Fuzzy Systems (FUZZ 2008) 1361
∈ϕ
ϕ
∈ϕ
ϕ ϕ
ϕ
ϕ
∈ϕ ⊆ ϕ
∈ϕ ⊆ ϕ
ϕ ⊆ ∀ ∩ ϕ ∩
⊆ μ ∩ ∩ μ
ϕ ⊆ μϕ ⊆ μ
ϕ
ϕ
ϕ ϕ
ϕ
ϕ
ϕ
ϕ
ϕ
ϕ ∈ ∪
∪ ∪ αϕ=
ϕ∈ ∪ ∪ ∪
βϕ =
ϕ
μ μ μ
ϕ
⊇
⊇
⊆ ∩ ≥ ∩
≤
⊆
⊆ ∩ ≥ ∩
≤ ∩
∀ ∩ ∩
⊆ ∩
∩
ϕ
1362 2008 IEEE International Conference on Fuzzy Systems (FUZZ 2008)
ϕ
ϕ ϕϕ
∅
ϕ
ϕ ϕϕ
∅
ϕ
ϕ ϕ ⊥
∅
ϕ αϕ=
∅≠αϕ ϕ ϕ ⊥
⇐ ϕ ϕ ⊥ ϕϕ
ϕ ϕ∅
βϕ = ∅≠β
ϕ
ϕ ϕ ⊥
∅
ϕ αϕ=
∅≠αϕ ϕ ϕ ⊥
⇐ ϕ ϕ ⊥ ϕϕ
ϕ ϕ∅
βϕ = ∅≠β
ϕ
ϕ ϕ ϕ
ϕ ϕ ϕ ϕ ∩¬ϕ ϕ
ϕ ∈ϕ ∉ ϕ ∈ Δ
βϕ =βϕ = ∈
β ∉ β
⇐
∈ ∉
ϕ αϕ=
αϕ= ∈ αϕ ∉αϕ ϕ ϕ ϕ
ϕ
ϕ
ϕ ϕ
ϕ ϕ ϕ ϕ ∩¬ϕ ϕ
ϕ ∈ϕ ∉ ϕ ∈ Δ
βϕ =βϕ = ∈
β ∉ β
⇐
∈ ∉
ϕ αϕ=
αϕ= ∈ αϕ ∉
2008 IEEE International Conference on Fuzzy Systems (FUZZ 2008) 1363
αϕ ϕ ϕ ϕ
ϕ
ϕ ϕ ϕ ϕ ϕ ϕ
ϕ ϕ ϕ ϕ ϕ ϕ
ϕ
ϕ ϕ ϕ ϕ ϕ
ϕ ϕ
ϕ ϕ ϕ ϕ
⇐ ϕ ϕ ϕ ϕ ϕϕ
ϕ ϕ
ϕ ϕ ϕ ϕ
1364 2008 IEEE International Conference on Fuzzy Systems (FUZZ 2008)
2008 IEEE International Conference on Fuzzy Systems (FUZZ 2008) 1365