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Approximating Arbitrary Fuzzy Subsets by Extensional Ones
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DOI：10.1109/TFUZZ.2014.2321593.png)
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摘要
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An interesting problem within the theory of indistinguishability operators is how to approximate an arbitrary fuzzy subset by a similar extensional one. In this paper, we aim to solve this question and provide three methods to find extensional approximations of fuzzy subsets mu. These methods are exhaustively explained for different Archimedean t-norms, and an example is provided to illustrate them.
Keyword:
Extensional fuzzy subset
indistinguishability operator
lower approximation
power with respect to a t-norm
quasi-arithmetic mean
upper approximation
期刊
IF:
11.9
论文数:
5.0K
被引数:
2.9W
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