Generalized connectivity
DOI:
https://doi.org/10.4067/S0716-09172006000200005Keywords:
Lukasiewicz logic, L-fuzzy topology, quasi-coincident neighborhood system, lógica de Lukasiewicz, topología L-difusa, sistema vecino cuasi-coincidente.Abstract
In this paper, we introduce generalized connectivity in L-fuzzy topological spaces by Lukasiewicz logic and prove K. Fan’s theorem.References
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[2] J. Fang, Y. Yue, K. Fan’s theorem in fuzzifying topology, Information Sciences, 162, pp. 139-146, (2004).
[3] J. Fang, I-FTOP is isomorphic to I-FQN and I-AITOP, Fuzzy Sets and Systems 147, pp. 317-325, (2004).
[4] U. Höhle, Uppersemicontinuous fuzzy sets and applications, J. Math. Anal. Appl. 78, pp. 659-673, (1980).
[5] T. Kubiak, On fuzzy topologies (PhD Thesis, Adam Mickiewicz, Poznan (Poland), (1985).
[6] Y. M. Liu, M. K. Luo, Fuzzy Topology, World Scientific Publishing Co.Pte.Ltd, Singapore, (1997).
[7] S.E. Rodabaugh, Connectivity and the L-fuzzy unit interval, Rocky Mount. J. Math 12(1), pp. 113-121, (1982).
[8] A. P. Sostak, on a fuzzy topological structure, Rendiconti Circolo Matematico Palermo (Suppl. Ser. II) 11, pp. 89-103, (1985).
[9] M. Ying, A new approach to fuzzy topology (I), Fuzzy Sets and Systems 39, pp. 303-321, (1991).
[10] M. Ying, A new approach to fuzzy topology (II), Fuzzy Sets and Systems 47, pp. 221-232, (1992).
[11] Y. Yue, J. Fang, Generated I-fuzzy topological spaces, Fuzzy Sets and Systems, 154, pp. 103-117, (2005).
Published
2017-05-08
How to Cite
[1]
Y. Yue and J. Fang, “Generalized connectivity”, Proyecciones (Antofagasta, On line), vol. 25, no. 2, pp. 191-203, May 2017.
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