Fuzzy Set TheoryとUltraproduct

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概要

• 論文の詳細を見る

• Let T be a theory adequate to do with fuzzy sets. It follows from a completeness theorem of L. Henkin that there exists a model of T in which countably many fuzzy sentences hold. For the theory of fuzzy set, which satisfies at most countably many fuzzy conditions, there exists a sequence of models m_i (i∈ω) such that for every sentence φ with the fuzzy truth value α=0. α_1α_2… (in the binary scale), i∈{k; m_i |=ν(φ)=1} if and only if α_i=1. Moreover, it is proved that the fuzzy truth value of "the fuzzy truth value of φ is equal to α" is equal to 1, if φ has α as the fuzzy truth value.

• 明治大学の論文

著者

• 大橋 健八郎

  School Of Science And Technology Meiji University

• 大橋 健八郎

  明治大学

関連論文

• Fuzzy logicとNonstandard Analysis
• Fuzzy Set TheoryとUltraproduct
• Relative recursivenessについて(科学技術研究所年報第9号)
• Proof of a theorem of Sacks
• Recursively enumerble degreesについて(科学技術研究所年報第8号)
• recursion, metarecursion,および分解について
• Recursively enumerable degreesについて

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