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Titlebook: Quantitative Logic and Soft Computing; Vol 2 Bing-yuan Cao,Guo-jun Wang,Si-zong Guo Conference proceedings 2010 Springer Berlin Heidelberg

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A Nonlinear Integral Which Generalizes Both the Choquet and the Sugeno Integral However, their applicability is somehow restricted because of the special operations used in the construction of these integrals. This survey presents the main ideas and results concerning the construction of a universal integral generalizing both the Choquet and the Sugeno case. For functions with
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Semilinear Space, Galois Connections and Fuzzy Relation Equationsfuzzy relation equations with sup-* and inf-→ compositions. Moreover, because the two types of systems of linear-like equations are dual according to this theory, it is sufficient to investigate only one system.
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-Completions of Net Convergence Structuresgence structures which are rich enough to support it. In particular, it is demonstrated that spaces which are embeddable into .-spaces which have iterated limits admit .-completions. The main result reported herein generalizes an existing procedure for .-completion of .. spaces.
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Deduction Theorem for Symmetric Cirquent Calculustead of the traditional formulas or sequents. In this paper we prove the deduction theorem for the symmetric version of cirquent calculus, and show that the derivation in the deduction theorem will be at most polynomially longer than the proof of implication, and vice versa.
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A Quantitative Analysis of Rough Logich algebra semantics. The concepts of rough(upper, lower) truth degrees on the set of logic formulas in PRL are initially introduced. Then, by grading the rough equality relations, the concepts of rough(upper, lower) similarity degrees are proposed. Finally, three different pseudo-metrics on the set
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