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Categories of fuzzy topology in the context of graded ditopologies on textures | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 2، دوره 11، شماره 6، اسفند 2014، صفحه 1-20 اصل مقاله (502.9 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2014.1744 | ||
نویسندگان | ||
Alexander Sostak* 1؛ Lawrence M. Brown2 | ||
1Department of Mathematics, and Institute of Mathematics & CS, University of Latvia, Riga, Latvia | ||
2Hacettepe University, Ankara, Turkey | ||
چکیده | ||
This paper extends the notion of ditopology to the case where openness and closedness are given in terms of {\em a priori} unrelated Drading functions. The resulting notion of graded ditopology is considered both in the setting of lattices and in that textures, the relation between the two approaches being discussed in detail. Interrelations between graded ditopologies and ditopologies on textures are also studied. | ||
کلیدواژهها | ||
Complete lattice؛ Completely distributive lattice؛ fuzzy topology؛ Graded ditopology؛ Texture؛ Difunction؛ Ditopology؛ category | ||
مراجع | ||
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