Structured lattices and ground categories of L-sets

International Journal of Mathematics and Mathematical Sciences

Volumn 2005, Issue 17, 2005, Pages 2783-2803

  Frascella, Anna ^a   Guido, Cosimo ^a  

^a UNIVERSITY OF SALENTO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 31344432045     PISSN: 01611712     EISSN: None     Source Type: Journal    
DOI: 10.1155/IJMMS.2005.2783     Document Type: Article

References (16)

1. J. Adámek, H. Herdich, and G. E. Strecker, Abstract and Concrete Categories, Pure and Applied Mathematics (New York), John Wiley & Sons, New York, 1990.
2. D. Adnadjević, Connectedness and dimension of GF-spaces, Fuzzy Sets and Systems 45 (1992), no. 2, 253-259.
3. C. De Mitri and C. Guido, G-fuzzy topological spaces and subspaces, Rend. Circ. Mat. Palermo (2) Suppl. (1992), no. 29, 363-383.
4. C. De Mitri and C. Guido, Some remarks on ftizzy powerset operators, Fuzzy Sets and Systems 126 (2002), no. 2, 241-251.
5. C. De Mitri, C. Guido, and R. E. Toma, Fuzzy topological properties and hereditariness, Fuzzy Sets and Systems 138 (2003), no. 1, 127-147.
6. M. A. Erceg, Functions, equivalence relations, quotient spaces and subsets in fuzzy set theory, Fuzzy Sets and Systems 3 (1980), no. 1, 75-92.
7. J. A. Goguen, Categories of V-sets, Bull. Amer. Math. Soc. 75 (1969), 622-624.
8. C. Guido, The subspace problem in the traditional point-set context of fuzzy topology, Quaestiones Math. 20 (1997), no. 3, 351-372.
9. C. Guido, Powerset operators based approach to fuzzy topologies on fuzzy sets, Topological and Algebraic Structures in Fuzzy Sets, Trends Log. Stud. Log. Libr., vol. 20, Kluwer Academic, Dordrecht, 2003, pp. 401-413.
10. U. Höhle and S. E. Rodabaugh (eds.), Mathematics of Fuzzy Sets. Logic, Topology, and Measure Theory, The Handbooks of Fuzzy Sets Series, vol. 3, Kluwer Academic, Massachusetts, 1999.
11. F. T. Johnstone, Stone Spaces, Cambridge Studies in Advanced Mathematics, vol. 3, Cambridge University Press, Cambridge, 1982.
12. S. Mac Lane, Categoriesfor the Working Mathematician, Graduate Texts in Mathematics, vol. 5, Springer, New York, 1971.
13. S. E. Rodabaugh, Powerset operator based foundation for point-set lattice-theoretic (POSLAT) fuzzy set theories and topologies, Quaestiones Math. 20 (1997), no. 3, 463-530.
14. S. E. Rodabaugh, Categorical foundations of variable-basis fuzzy topology, Mathematics of Fuzzy Sets, Handb. Fuzzy Sets Ser., vol. 3, Kluwer Academic, Massachusetts, 1999, pp. 273-388.
15. S. E. Rodabaugh, Powerset operatorfoundations for poslat fuzzy set theories and topologies, Mathematics of Fuzzy Sets, Handb. Fuzzy Sets Ser., vol. 3, Kluwer Academic, Massachusetts, 1999, pp. 91-116.
16. S. E. Rodabaugh, Point-set lattice-theoretic (Poslat) topology: a (partly) categorical perspective, Mathematics of Fuzzy Systems: 25th Linz Seminar on Fuzzy Set Theory (Linz, 2004) (E. P. Klement and E. Pap, eds.), Universitätsdirektion Johannes Kepler Universität, Linz, Austria, pp. 181-193.