# Multidimensional scaling of fuzzy dissimilarity data

##### Citations

249 citations

232 citations

### Cites background from "Multidimensional scaling of fuzzy d..."

...[57], and the corresponding distance density is expressed as:...

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129 citations

### Cites background or methods from "Multidimensional scaling of fuzzy d..."

...…of the fuzzy-possibilistic approach to regression analysis as well as to other statistical analyses, such as principal components, multidimensional scaling, etc. have followed the seminal paper by Tanaka et al. (1982) (see, for instance, D’Urso and Giordani, 2005; Masson and DenWux, 2002)....

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...This consists of minimizing the overall fuzziness of the estimated responses ỹi , while imposing the constraint of inclusion of the observed responses yi (i = 1, . . . , n) within the support of the respective fuzzy theoretical values ỹi (i = 1, . . . , n)....

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56 citations

### Cites methods from "Multidimensional scaling of fuzzy d..."

...Multidimensional scaling, a technique to map objects to a multidimensional feature space based on observed dissimilarities between objects, has recently been extended to interval-valued and fuzzy dissimilarities [12], [30]....

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49 citations

### Cites methods from "Multidimensional scaling of fuzzy d..."

...For representing interval-valued dissimilarities [9] or fuzzy dissimilarities [17] in a low dimensional space, we have proposed several extensions of classical multidimensional scaling methods (MDS)....

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##### References

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6,875 citations

### "Multidimensional scaling of fuzzy d..." refers methods in this paper

...To assess the quality of the approximation of ∆ by D(X), the following loss function, known in the literature as the Stress function [11], is used: σ(X) = ∑ i<j (dij(X)− δij)(2) ....

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4,520 citations

### "Multidimensional scaling of fuzzy d..." refers methods in this paper

...Another popular method is the INDSCAL model (INdividual DIfferences SCALing) [2]....

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3,460 citations

### "Multidimensional scaling of fuzzy d..." refers background in this paper

...An early use of MDS has been dimension reduction [13]....

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