Affiliation:
1. Department of Mathematics, Gangneung-Wonju National University, Gangneung, Gangwondo, Korea
Abstract
In this paper, we introduce the notions of join preserving maps using distance spaces instead of fuzzy partially ordered sets on complete co-residuated lattices. We investigate the properties of Alexandrov fuzzy topologies, distance functions, join preserving maps and upper approximation operators. Furthermore, we study their relations and examples. We prove that there exist isomorphic categories and Galois correspondences between their categories.
Subject
Artificial Intelligence,General Engineering,Statistics and Probability
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