کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
479054 | 1446188 | 2007 | 13 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Fuzzy implication operators for difference operations for fuzzy sets and cardinality-based measures of comparison Fuzzy implication operators for difference operations for fuzzy sets and cardinality-based measures of comparison](/preview/png/479054.png)
In this paper, we determine by means of fuzzy implication operators, two classes of difference operations for fuzzy sets and two classes of symmetric difference operations for fuzzy sets which preserve properties of the classical difference operation for crisp sets and the classical symmetric difference operation for crisp sets respectively. The obtained operations allow us to construct as in [B. De Baets, H. De Meyer, Transitivity-preserving fuzzification schemes for cardinality-based similarity measures, European Journal of Operational Research 160 (2005) 726–740], cardinality-based similarity measures which are reflexive, symmetric and transitive fuzzy relations and, to propose two classes of distances (metrics) which are fuzzy versions of the well-known distance of cardinality of the symmetric difference of crisp sets.
Journal: European Journal of Operational Research - Volume 183, Issue 1, 16 November 2007, Pages 314–326