Fuzzy functions: a fuzzy extension of the category SET and some related categories
| Autor: | Ulrich Höhle, Hans-E. Porst, Alexander P. Sostak |
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| Jazyk: | angličtina |
| Rok vydání: | 2000 |
| Předmět: | |
| Zdroj: | Applied General Topology, Vol 1, Iss 1, Pp 115-127 (2000) |
| Druh dokumentu: | article |
| ISSN: | 1576-9402 1989-4147 |
| DOI: | 10.4995/agt.2000.3028 |
| Popis: | In research Works where fuzzy sets are used, mostly certain usual functions are taken as morphisms. On the other hand, the aim of this paper is to fuzzify the concept of a function itself. Namely, a certain class of L-relations F : X x Y -> L is distinguished which could be considered as fuzzy functions from an L-valued set (X,Ex) to an L-valued set (Y,Ey). We study basic properties of these functions, consider some properties of the corresponding category of L-valued sets and fuzzy functions as well as briefly describe some categories related to algebra and topology with fuzzy functions in the role of morphisms. |
| Databáze: | Directory of Open Access Journals |
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