On fuzzy inverse systems of fuzzy topological spaces

B. M. Uzzal Afsan

doi:10.26637/MJM0803/0065

Abstract

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 functor

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

B. M. Uzzal Afsan Department of Mathematics, Sripat Singh College, Jiaganj-742123, Murshidabad, West Bengal, India. https://orcid.org/0000-0003-4914-7276

Pages: 1114-1118
Date Published: 01-07-2020
Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)

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