Academic Journal
Cut properties of resemblance
| العنوان: | Cut properties of resemblance |
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| المؤلفون: | Janiš, Vladimir, Renčová, Magdaléna, Šešelja, Branimir, Tepavčević, Andreja |
| بيانات النشر: | Institute of Information Theory and Automation AS CR |
| سنة النشر: | 2010 |
| المجموعة: | DML-CZ (Czech Digital Mathematics Library) |
| مصطلحات موضوعية: | keyword:fuzzy sets, keyword:resemblance relation, keyword:cuts, msc:04A72 |
| الوصف: | summary:The resemblance relation is used to reflect some real life situations for which a fuzzy equivalence is not suitable. We study the properties of cuts for such relations. In the case of a resemblance on a real line $E$ we show that it determines a special family of crisp functions closely connected to its cut relations. Conversely, we present conditions which should be satisfied by a collection of real functions in $E$ in order that this collection determines a resemblance relation. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 0023-5954 |
| Relation: | mr:MR2722090; zbl:Zbl 1211.03073; reference:[1] Cock, M. De, Kerre, E.: Why fuzzy T-equivalence relations do not resolve the Poincaré paradox, and related issues.Fuzzy Sets and Systems 133 (2003), 181–192. MR 1949021; reference:[2] Cock, M. De, Kerre, E.: On (un)suitable fuzzy relations to model approximate equality.Fuzzy Sets and Systems 133 (2003), 137–153. Zbl 1020.03049, MR 1949016; reference:[3] Janiš, V., Renčová, M., Šešelja, B., Tepavčević, A.: Construction of fuzzy relation by closure systems.In: PReMI 2009 (S. Chaudhury et al., eds.), LNCS 5909, Springer-Verlag, Berlin – Heidelberg 2009, pp. 116–121.; reference:[4] Kalina, M.: Derivatives of fuzzy functions and fuzzy derivatives.Tatra Mountains Math. Publ. 12 (1997), 27–34. Zbl 0951.26015, MR 1607135; reference:[5] Šešelja, B., Tepavčević, A.: Completion of ordered structures by cuts of fuzzy sets: an overview.Fuzzy Sets and Systems 136 (2003), 1–19. Zbl 1020.06005, MR 1978466; reference:[6] Šešelja, B., Tepavčević, A.: Representing ordered structures by cuts of fuzzy sets: an overview.Fuzzy Sets and Systems 136 (2003), 21–39. MR 1978467; reference:[7] Šešelja, B., Tepavčević, A.: Equivalent fuzzy sets.Kybernetika 41 (2005), 115–128. Zbl 1249.03088, MR 2138763 |
| الاتاحة: | http://hdl.handle.net/10338.dmlcz/140773 |
| Rights: | access:Unrestricted ; rights:DML-CZ Czech Digital Mathematics Library, http://dml.cz/ ; rights:Institute of Mathematics AS CR, http://www.math.cas.cz/ ; conditionOfUse:http://dml.cz/use |
| رقم الانضمام: | edsbas.4943B28 |
| قاعدة البيانات: | BASE |
Full Text Finder | تدمد: | 00235954 |
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