On fuzzy inverse systems of fuzzy topological spaces
Downloads
DOI:
https://doi.org/10.26637/MJM0803/0065Abstract
In this paper, we have initiated and studied the concepts of fuzzy inverse systems of fuzzy topological spaces and fuzzy continuous functions along with their fuzzy inverse limits. We have shown that every fuzzy inverse system possesses fuzzy inverse limit and fuzzy inverse limit is unique in some sense. The fuzzy inverse limit \(\left(X, \psi_i\right)_I\) of a fuzzy inverse system \(\left(X_i, \psi_{i j}\right)_I\) enjoys many satisfactory desired properties. Further, we have introduced a covariant functor \(F \lim _{\leftarrow}\) from the category \(FIS (I)\) of fuzzy inverse systems of fuzzy topological spaces and fuzzy continuous functions to the category FTS of fuzzy topological spaces and fuzzy continuous functions.
Keywords:
Fuzzy inverse system, fuzzy inverse limit, category, covariant functorMathematics Subject Classification:
Mathematics- Pages: 1114-1118
- Date Published: 01-07-2020
- Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)
B M UzzalAfsan, Weakly fuzzy topological entropy (Communicated).
G. Balasubramanian, Fuzzy disconnectedness and its stronger forms, Indian J. Pure Appl. Math., 24(1) (1993), $27-30$.
C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl., 24 (1968), 182-190.
S. Eilenbarg and N. Steenrod, Foundation of Algebraic Topology, Princeton University Press, New Jersey, 1952.
W. Guojun, A new fuzzy compactness defined by fuzzy nets, J. Math. Anal. Appl., 94(1983), 1-23.
R. Lowen, Fuzzy topological spaces and fuzzy compactness, J. Math. Anal. Appl., 56 (1976), 621-633.
R. Lowen, Initial and final fuzzy topologies and the fuzzy Tychonoff theorem, J. Math. Anal. Appl., 58 (1977), 1121.
P. Pao-Ming and L. Ying-Ming, Fuzzy topology. I. Neighborhood structure of a fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl., 76 (1980), 571-599.
J. S. Wilson, Profinite groups, Clarendon Press, Oxford, 1997.
L. A. Zadeh, Fuzzy sets, Inform. Control., 8 (1965), 338353.
- NA
Similar Articles
- Muthaiah Subramanian, Sargunam Muthu, Murugesan Manigandan, Thangaraj Nandha Gopal, On generalized Caputo fractional differential equations and inclusions with non-local generalized fractional integral boundary conditions , Malaya Journal of Matematik: Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2020 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.
