Rough Approximations under Level Fuzzy Sets [chapter]

W. -N. Liu, JingTao Yao, Yiyu Yao
<span title="">2004</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
The combination of fuzzy set and rough set theories lead to various models. Functional and set approaches are two categories based on different fuzzy representations. In this paper, we study rough approximations based on the notion of level fuzzy sets. Two rough approximation models, namely α-level rough set and β-level rough set, are proposed. It shows that β-level fuzzy rough set model can approximate a fuzzy set at different precisions.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-540-25929-9_8">doi:10.1007/978-3-540-25929-9_8</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/pjfy7s35zfbflasronddrouf4y">fatcat:pjfy7s35zfbflasronddrouf4y</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20080422171506/http://www2.cs.uregina.ca/~jtyao/Papers/qqvrs8.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/cb/65/cb65cea4ba3f263280fba7c3fd2b7e1490eb6cdd.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-540-25929-9_8"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>