Translation invariance and scale invariance of approximations of fuzzy numbers
نویسندگان
چکیده
We give some sufficient conditions such that a crisp, interval, triangular, trapezoidal, parametric approximation of a fuzzy number, with or without additional requirements, to have the properties of invariance to translations or scale invariance.
منابع مشابه
Weighted triangular approximation of fuzzy numbers q
In this paper, we use the weighted distance between fuzzy numbers to investigate the approximation of arbitrary fuzzy numbers by weighted distance. We then discuss properties of the approximation strategy including continuity, translation invariance, scale invariance and identity and give an application to the generation of fuzzy partitions. 2006 Elsevier Inc. All rights reserved.
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