Title: Functors between categories of intuitionistic fuzzy spaces

Authors: Essam H. Hamouda

Addresses: Department of Basic Sciences, Industrial Education College, Beni-Suef University, 62511, Egypt

Abstract: In this paper, the author introduce the category IFTOP of IF-topological spaces, to generalise the category of intuitionistic fuzzy spaces in the sense of Coker. Then, IF-subspaces, IF-continuous mappings and IF-quotient spaces are studied. Functors between the category IFTOP and the category FTOP of I-fuzzy topological spaces are defined. Finally, the author showed that the category FTOP is isomorphic to a subcategory 0-IFTOP of the category IFTOP.

Keywords: fuzzy sets; intuitionistic fuzzy sets; IF-topology; IF-continuity; IF-quotient spaces; categorical functors.

DOI: 10.1504/IJFCM.2020.110196

International Journal of Fuzzy Computation and Modelling, 2020 Vol.3 No.2, pp.145 - 155

Accepted: 27 Feb 2020
Published online: 08 Oct 2020 *

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