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标题：<svg style="vertical-align:-3.186pt;width:62.787498px;" id="M1" height="19.25" version="1.1" viewBox="0 0 62.787498 19.25" width="62.787498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.25)"> <g transform="translate(72,-56.6)"> <text transform="matrix(1,0,0,-1,-71.95,59.83)"> <tspan style="font-size: 17.93px; " x="0" y="0">(</tspan> <tspan style="font-size: 17.93px; " x="5.9716892" y="0">𝐿</tspan> <tspan style="font-size: 17.93px; " x="18.668253" y="0">,</tspan> <tspan style="font-size: 17.93px; " x="26.128382" y="0">𝑀</tspan> <tspan style="font-size: 17.93px; " x="44.151047" y="0">)</tspan> </text> </g> </g> </svg>-Fuzzy <svg style="vertical-align:-0.198pt;width:13.2875px;" height="9.9624996" version="1.1" viewBox="0 0 13.2875 9.9624996" width="13.2875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.9625)"> <g transform="translate(72,-64.03)"> <text transform="matrix(1,0,0,-1,-71.95,64.27)"> <tspan style="font-size: 17.93px; " x="0" y="0">𝜎</tspan> </text> </g> </g> </svg>-Algebras
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作者：Fu-Gui Shi
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2010
卷号：2010
DOI：10.1155/2010/356581
出版社：Hindawi Publishing Corporation
摘要：The notion of (𝐿,𝑀)-fuzzy 𝜎-algebras is introduced in the lattice value fuzzy set theory. It is a generalization of Klement's fuzzy 𝜎-algebras. In our definition of (𝐿,𝑀)-fuzzy 𝜎-algebras, each 𝐿-fuzzy subset can be regarded as an 𝐿-measurable set to some degree.