Representation of the Minkowski metric as a fuzzy set
| Autor: | Juan Carlos Figueroa-García, Germán Jairo Hernández-Pérez, Miguel Alberto Melgarejo-Rey |
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| Rok vydání: | 2018 |
| Předmět: |
021103 operations research
Control and Optimization Computer science media_common.quotation_subject Closeness Fuzzy set 0211 other engineering and technologies Computational intelligence 010103 numerical & computational mathematics 02 engineering and technology Ambiguity 01 natural sciences Interpretation (model theory) Algebra Minkowski space 0101 mathematics Representation (mathematics) media_common |
| Zdroj: | Optimization Letters. 14:395-408 |
| ISSN: | 1862-4480 1862-4472 |
| DOI: | 10.1007/s11590-018-1290-6 |
| Popis: | This paper proposes a representation of the family of Minkowski distances using fuzzy sets. The proposed method helps to represent human-like perceptions about distances, which can help decision making in presence of non-probabilistic uncertainties such as imprecision and ambiguity. This way we propose to define a fuzzy set regarding the concept of closeness of two elements/sets measured by a Minkowski metric. Two application examples are presented, solved, and compared to some classical approaches. Finally some concluding remarks are provided and some interpretation issues are explained. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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