[IEEE 2008 IEEE 16th International Conference on Fuzzy Systems (FUZZ-IEEE) - Hong Kong, China...

8
1358 978-1-4244-1819-0/08/$25.00 c 2008 IEEE

Transcript of [IEEE 2008 IEEE 16th International Conference on Fuzzy Systems (FUZZ-IEEE) - Hong Kong, China...

Page 1: [IEEE 2008 IEEE 16th International Conference on Fuzzy Systems (FUZZ-IEEE) - Hong Kong, China (2008.06.1-2008.06.6)] 2008 IEEE International Conference on Fuzzy Systems (IEEE World

1358

978-1-4244-1819-0/08/$25.00 c©2008 IEEE

Page 2: [IEEE 2008 IEEE 16th International Conference on Fuzzy Systems (FUZZ-IEEE) - Hong Kong, China (2008.06.1-2008.06.6)] 2008 IEEE International Conference on Fuzzy Systems (IEEE World

∈ ∈ ∈

∪ ∪ ∪ ∪

⊆∪

∈∈

2008 IEEE International Conference on Fuzzy Systems (FUZZ 2008) 1359

Page 3: [IEEE 2008 IEEE 16th International Conference on Fuzzy Systems (FUZZ-IEEE) - Hong Kong, China (2008.06.1-2008.06.6)] 2008 IEEE International Conference on Fuzzy Systems (IEEE World

∈∈

∈⊆

∈ ⊆ ×∪ ∈

∈⊆

∈⊆

∈∈

∈∈ ∈

∈ ∈

∈∈

→ ¬ ∩→ ¬ ∩ ∃ ≤

∀ ¬∃ ¬≥ ¬ ≤

≤ ∩ ≥

μμ

∈ ′

μμμ =∩

μμμ =∪

μμ −=

Δ=

Δ⊆

=

1360 2008 IEEE International Conference on Fuzzy Systems (FUZZ 2008)

Page 4: [IEEE 2008 IEEE 16th International Conference on Fuzzy Systems (FUZZ-IEEE) - Hong Kong, China (2008.06.1-2008.06.6)] 2008 IEEE International Conference on Fuzzy Systems (IEEE World

−=¬

=∩

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

Page 5: [IEEE 2008 IEEE 16th International Conference on Fuzzy Systems (FUZZ-IEEE) - Hong Kong, China (2008.06.1-2008.06.6)] 2008 IEEE International Conference on Fuzzy Systems (IEEE World

∈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)

Page 6: [IEEE 2008 IEEE 16th International Conference on Fuzzy Systems (FUZZ-IEEE) - Hong Kong, China (2008.06.1-2008.06.6)] 2008 IEEE International Conference on Fuzzy Systems (IEEE World

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

Page 7: [IEEE 2008 IEEE 16th International Conference on Fuzzy Systems (FUZZ-IEEE) - Hong Kong, China (2008.06.1-2008.06.6)] 2008 IEEE International Conference on Fuzzy Systems (IEEE World

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)

Page 8: [IEEE 2008 IEEE 16th International Conference on Fuzzy Systems (FUZZ-IEEE) - Hong Kong, China (2008.06.1-2008.06.6)] 2008 IEEE International Conference on Fuzzy Systems (IEEE World

2008 IEEE International Conference on Fuzzy Systems (FUZZ 2008) 1365