Extensions of (weakly) null-additive, monotone set functions from rings to generated algebras

室伏俊明; Toshiaki MUROFUSHI

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Extensions of (weakly) null-additive, monotone set functions from rings to generated algebras

机译：（弱）零添加剂的扩展，从环到生成代数的单调集函数

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摘要

This paper shows that the greatest and least monotone extensions of a null-additive [resp weakly null-additive], monotone set function from a ring of subsets to the algebra generated by the ring are null-additive [resp. weakly null-additive]. In addition, the paper characterizes all the (weakly) null-additive, monotone extensions.

机译：本文表明，零添加剂[RESP弱空 - 添加剂]的最大和最低单调的延伸，从环的亚档环到由环产生的代数的单调设定功能是零添加剂[RESP。弱零 - 添加剂]。此外，本文表征了所有（弱）零添加剂，单调延伸。

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《数理解析研究所讲究录》 |2007年第1561期|共8页
作者
室伏俊明; Toshiaki MUROFUSHI;
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作者单位

東京工業大学?知能システム科学専攻;

Department of Computational Intelligence and Systems Science Tokyo Institute of Technology;

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正文语种 jpn
中图分类数学;
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专利

1. Extensions of (weakly) null-additive, monotone set functions from rings of subsets to generated algebras [J] . Toshiaki Murofushi Fuzzy sets and systems . 2007,第21期

机译：（弱）null可加的单调集函数从子集的环到生成的代数的扩展
2. Extensions of (weakly) null-additive, monotone set functions from rings to generated algebras [J] . 室伏俊明, Toshiaki MUROFUSHI 数理解析研究所讲究录 . 2007,第1561期

机译：（弱）null可加的单调集函数从环到生成代数的扩展
3. Extensions of (weakly) null-additive, monotone set functions from rings to generated algebras [J] . 室伏俊明, Toshiaki MUROFUSHI 数理解析研究所讲究录 . 2007,第1561期

机译：（弱）零添加剂的扩展，从环到生成代数的单调集函数
4. NULL-ADDITIVE FUZZY SET MULTIFUNCTION [C] . ALINA GAVRILUT, ANCA CROITORU, NIKOS E. MASTORAKIS Recent advances in neural networks, fuzzy systems amp; evolutionary computing . 2010

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5. Representations of semi-algebraic sets in finite algebras generated by space decompositions [D] . Shapiro, Vadim. 1991

机译：空间分解生成的有限代数中的半代数集的表示
6. New construction and proof techniques of projection algorithm for countable maximal monotone mappings and weakly relatively non-expansive mappings in a Banach space [O] . Li Wei, Ravi P. Agarwal -1

机译：Banach空间中可数最大单调映射和弱相对非扩展映射的投影算法的新构造和证明技术
7. Extensions of (weakly) null-additive, monotone set functions from rings to generated algebras(Information and mathematics of non-additivity and non-extensivity : from the viewpoint of functional analysis) [O] . MUROFUSHI Toshiaki 2007

机译：（弱）零可加单调集函数从环到生成代数的扩展（非加和非扩的信息和数学：从泛函分析的角度）
8. Construction of Monotone Extensions to Boundary Functions [R] . Traas, C. R. 1992

机译：构造单调扩张边界函数

Extensions of (weakly) null-additive, monotone set functions from rings to generated algebras

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