Yıl: 2005 Cilt: 34 Sayı: supp Sayfa Aralığı: 69 - 89 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Relations and corelations between lattices of fuzzy subsets

Öz:
In this paper a theory of relations and corelations between the lattice of fuzzy subsets of a crisp set X and that of a crisp set Y is developed, based on the theory of relations and corelations between textures. In a series of examples it is shown that these notions generalize in a natural way the impotant concept of fuzzy relation from X to Y. Difunctions are also characterized and their relationship with known mappings between fuzzy sets is investigated.
Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • 1.Brown, L. M. Relations and functions on textures, Preprint.
  • 2.Brown, L. M. and Diker, M. Ditopological texture spaces and intuitionistic sets, Fuzzy Sets and Systems 98, 217-224, 1998.
  • 3.Brown, L. M. and Ertürk, R. Fuzzy sets as texture spaces, I. Representation theorems, Fuzzy Sets and Systems 110(2), 227-236, 2000.
  • 4.Brown, L. M., Ertürk, R. and Dost, Ş. Ditopological texture spaces and fuzzy topology, I. Basic Concepts, Fuzzy Sets and Systems 147 (2), 171-199, 2004.
  • 5.Çoker, D. An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems 88, 81-89, 1997.
  • 6.Gierz, G., Hofmann, K. H., Keimel, K., Lawson, J. D., Mislove, M. and Scott, D. S. A compendium of continuous lattices, (Springer-Verlag, 1980).
  • 7.Gottwald, S. Fuzzy Sets and Fuzzy Logic. Foundations of Application - from a Mathematical Point of View, (Braunschweig; Wiesbaden : Vieweg, 1993).
  • 8.Özçağ, S. and Brown, L. M. Di-uniform texture spaces, Applied General Topology 4(1), 157-192, 2003.
  • 9.Sanchez, E. Solution of fuzzy equations with extended operations, Fuzzy Sets and Systems 12, 237-248, 1984.
  • 10.Tiryaki, İ.U. Soft Fuzzy Sets, (PhD Thesis (in Turkish), Hacettepe University, Ankara, 2005).
  • 11.Zadeh, L. A. Fuzzy sets, Inform and Control 8, 338-353, 1965.
APA tiryaki i, BROWN L (2005). Relations and corelations between lattices of fuzzy subsets. , 69 - 89.
Chicago tiryaki ismail uğur,BROWN Lawrence M. Relations and corelations between lattices of fuzzy subsets. (2005): 69 - 89.
MLA tiryaki ismail uğur,BROWN Lawrence M. Relations and corelations between lattices of fuzzy subsets. , 2005, ss.69 - 89.
AMA tiryaki i,BROWN L Relations and corelations between lattices of fuzzy subsets. . 2005; 69 - 89.
Vancouver tiryaki i,BROWN L Relations and corelations between lattices of fuzzy subsets. . 2005; 69 - 89.
IEEE tiryaki i,BROWN L "Relations and corelations between lattices of fuzzy subsets." , ss.69 - 89, 2005.
ISNAD tiryaki, ismail uğur - BROWN, Lawrence M.. "Relations and corelations between lattices of fuzzy subsets". (2005), 69-89.
APA tiryaki i, BROWN L (2005). Relations and corelations between lattices of fuzzy subsets. Hacettepe Journal of Mathematics and Statistics, 34(supp), 69 - 89.
Chicago tiryaki ismail uğur,BROWN Lawrence M. Relations and corelations between lattices of fuzzy subsets. Hacettepe Journal of Mathematics and Statistics 34, no.supp (2005): 69 - 89.
MLA tiryaki ismail uğur,BROWN Lawrence M. Relations and corelations between lattices of fuzzy subsets. Hacettepe Journal of Mathematics and Statistics, vol.34, no.supp, 2005, ss.69 - 89.
AMA tiryaki i,BROWN L Relations and corelations between lattices of fuzzy subsets. Hacettepe Journal of Mathematics and Statistics. 2005; 34(supp): 69 - 89.
Vancouver tiryaki i,BROWN L Relations and corelations between lattices of fuzzy subsets. Hacettepe Journal of Mathematics and Statistics. 2005; 34(supp): 69 - 89.
IEEE tiryaki i,BROWN L "Relations and corelations between lattices of fuzzy subsets." Hacettepe Journal of Mathematics and Statistics, 34, ss.69 - 89, 2005.
ISNAD tiryaki, ismail uğur - BROWN, Lawrence M.. "Relations and corelations between lattices of fuzzy subsets". Hacettepe Journal of Mathematics and Statistics 34/supp (2005), 69-89.