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T-Superiority and T-Norm-Based Images of Fuzzy Sets
| Content Provider | Scilit |
|---|---|
| Author | Bodjanova, Slavka Kalina, Martin |
| Copyright Year | 2016 |
| Abstract | Comparisons of finite fuzzy sets based on the results of conjunctive and disjunctive aggregations of their membership grades are studied. For a given t-norm T, the notion of T-superiority of fuzzy sets is introduced. When a fuzzy set g is T-superior to a fuzzy set f, the description of a vague concept by g is much more desirable than the description by f. For a comparison of a fuzzy set f with the “standard” fuzzy set g (describing the desirable or historically the most common characterization of the vague concept in question) t-norm-based transformations of f with respect to g, called the T-images of f, are suggested. A special type of the T-image of f with respect to g may be considered as a soft evaluation of T-superiority of g to f. |
| Related Links | http://www.degruyter.com/downloadpdf/j/tmmp.2016.66.issue-1/tmmp-2016-0017/tmmp-2016-0017.xml |
| Ending Page | 37 |
| Page Count | 13 |
| Starting Page | 25 |
| e-ISSN | 12103195 |
| DOI | 10.1515/tmmp-2016-0017 |
| Journal | Tatra Mountains Mathematical Publications |
| Issue Number | 1 |
| Volume Number | 66 |
| Language | English |
| Publisher | Walter de Gruyter GmbH |
| Publisher Date | 2016-06-01 |
| Access Restriction | Open |
| Subject Keyword | Tatra Mountains Mathematical Publications Artificial Intelligence Coarser Images of Fuzzy Sets Comparison of Fuzzy Sets T-norm Journal: Tatra Mountains Mathematical Publications, Vol- 66 |
| Content Type | Text |
| Resource Type | Article |
