By Lan Shu, Yuebo Zha (auth.), Bing-yuan Cao, Guo-jun Wang, Si-zong Guo, Shui-li Chen (eds.)
This e-book is the lawsuits of the fifth Annual convention on Fuzzy details and Engineering (ACFIE2010) from Sep. 23-27, 2010 in Huludao, China. This ebook comprises 89 papers, divided into 5 major elements: In part I, we now have 15 papers on “the mathematical thought of fuzzy systems”. In part II, we've 15 papers on “fuzzy good judgment, structures and control”. In part III, now we have 24 papers on “fuzzy optimization and decision-making”. In part IV, we have now 17 papers on “fuzzy details, id and clustering”. In part V, we've got 18 papers on “fuzzy engineering program and delicate computing method”.
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Additional resources for Fuzzy Information and Engineering 2010: Volume I
Example text
Soft Computing - A Fusion of Foundations, Methodologies and Applications 10(3), 875–879 (2006) 20. : Redefined fuzzy Hv -submodules and many valued implications. Information Sciences 177, 865–875 (2007) (∈, ∈ ∨q(λ,μ) )-Fuzzy h-Ideals of Hemirings 39 21. : Fuzzy R-subgroups with thresholds of near rings and implication operators. Soft Computing - A Fusion of Foundations, Methodologies and Applications 12(9), 875–879 (2008) 22. : (∈, ∈ ∨q(λ,μ) )-fuzzy normal subgroup. Fuzzy Systems and Mathematics 20(5), 47–53 (2006) 23.
Soft Computing - A Fusion of Foundations, Methodologies and Applications 10(3), 875–879 (2006) 20. : Redefined fuzzy Hv -submodules and many valued implications. Information Sciences 177, 865–875 (2007) (∈, ∈ ∨q(λ,μ) )-Fuzzy h-Ideals of Hemirings 39 21. : Fuzzy R-subgroups with thresholds of near rings and implication operators. Soft Computing - A Fusion of Foundations, Methodologies and Applications 12(9), 875–879 (2008) 22. : (∈, ∈ ∨q(λ,μ) )-fuzzy normal subgroup. Fuzzy Systems and Mathematics 20(5), 47–53 (2006) 23.
This is a contradiction with the previous proposition. If A(1) < A(0), we can prove the results dually. (λ, μ)-Fuzzy Sublattices and (λ, μ)-Fuzzy Subhyperlattices 23 Theorem 7. Let A be a fuzzy subset of a complemented lattice L. Then the following are equivalent: (1) A is a (λ, μ)-fuzzy sublattice of L; (2) Aα is a sublattice of L, for any α ∈ (λ, μ], where Aα = ∅. Proof. “(1) ⇒ (2)” Let A be a (λ, μ)-fuzzy sublattice of L. For any α ∈ (λ, μ], such that Aα = ∅, we need to show that x ∈ Aα , for all x ∈ Aα .
