Comparison of fuzzy values on
نویسندگان
چکیده
This paper extends a comparison measure called the statisfaction function(SF). The SF estimates the degree to which arithmetic comparisons between two fuzzy values are satissed. The previously proposed SF was deened on a discrete domain(SFD). So, in order to compare continuous fuzzy values, the fuzzy values should be converted into discrete ones. This paper deenes a satisfaction function on a continuous domain(SFC) based on the SFD. Since the SFC is extended from the SFD, it has not only the properties of the SFD, but also additional useful properties. Because the SFC also has the same meaning as the SFD, it can be used in any applications instead of the SFD. The SFC's for comparisons between a fuzzy and a crisp values, and between two crisp values are also deened. In addition, it is shown that the SFC has low time complexity if membership function is integrable and multiplication is used as T-norm operator.
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