On L-Fuzzy Topological Spaces Determined by Implicators

Abha Tripathi () and S. P. Tiwari
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Abha Tripathi: Department of Mathematics and Computing, Indian Institute of Technology (ISM), Dhanbad 826004, India
S. P. Tiwari: Department of Mathematics and Computing, Indian Institute of Technology (ISM), Dhanbad 826004, India

New Mathematics and Natural Computation (NMNC), 2023, vol. 19, issue 03, 805-830

Abstract: This paper is towards the study of L-fuzzy topological spaces, L-fuzzy pretopological spaces and their corresponding operators determined by general implicators. We show that the results regarding one-to-one correspondence between L-fuzzy reflexive approximation spaces and L-fuzzy pretopological spaces as well as L-fuzzy preorder approximation spaces and L-fuzzy topological spaces heavily depend on implicators. Finally, we establish a relationship between category of L-fuzzy pretopological spaces and category of L-fuzzy topological spaces by using category of L-fuzzy approximation spaces.

Keywords: L-fuzzy topological space; L-fuzzy pretopological space; TC-axiom; implicator; category (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S1793005723500370

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