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Uncertainty-Aware Dissimilarity Measures for Interval-Valued Fuzzy Sets
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems ( IF 1.0 ) Pub Date : 2020-09-03 , DOI: 10.1142/s0218488520500324
Emilio Torres-Manzanera 1 , Pavol Král 2 , Vladimír Janiš 3 , Susana Montes 4
Affiliation  

Dissimilarities are a very usual way to compare two fuzzy sets and also two interval-valued fuzzy sets. In both cases, the dissimilarity between two sets is a number. In this work, we introduce a generalization of the notion of dissimilarity for interval-valued fuzzy sets such that it assumes values on the set of subintervals instead of the set of numbers. This seems to be more realistic taking into account the available information. We also investigate its relationship with the classical notions of dissimilarity between fuzzy sets and we obtain that the new class is richer than the existing one.

中文翻译:

区间值模糊集的不确定性感知差异度量

相异性是比较两个模糊集和两个区间值模糊集的一种非常常用的方法。在这两种情况下,两组之间的差异是一个数字。在这项工作中,我们引入了区间值模糊集的相异性概念的推广,使其假定值是子区间集而不是数字集。考虑到可用信息,这似乎更现实。我们还研究了它与模糊集之间差异的经典概念的关系,我们发现新类比现有类更丰富。
更新日期:2020-09-03
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