On L-Fuzzy Topological Spaces Determined by Implicators
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Published:2023-03-16
Issue:
Volume:
Page:1-26
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ISSN:1793-0057
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Container-title:New Mathematics and Natural Computation
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language:en
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Short-container-title:New Math. and Nat. Computation
Author:
Tripathi Abha1,
Tiwari S. P.1
Affiliation:
1. Department of Mathematics and Computing, Indian Institute of Technology (ISM), Dhanbad 826004, India
Abstract
This paper is towards the study of [Formula: see text]-fuzzy topological spaces, [Formula: see text]-fuzzy pretopological spaces and their corresponding operators determined by general implicators. We show that the results regarding one-to-one correspondence between [Formula: see text]-fuzzy reflexive approximation spaces and [Formula: see text]-fuzzy pretopological spaces as well as [Formula: see text]-fuzzy preorder approximation spaces and [Formula: see text]-fuzzy topological spaces heavily depend on implicators. Finally, we establish a relationship between category of [Formula: see text]-fuzzy pretopological spaces and category of [Formula: see text]-fuzzy topological spaces by using category of [Formula: see text]-fuzzy approximation spaces.
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics,Computer Science Applications,Human-Computer Interaction