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Research Article | Open Access

Characterization of extension map on fuzzy weakly cut-stable map

Nana Ma( ), Qingjun Luo, Geni Xu
School of Statistics, Xi'an University of Finance and Economics, Xi'an 710100, China
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Abstract

In this paper, based on a complete residuated lattice, we propose the definition of fuzzy weakly cut-stable map and prove the extension property of the fuzzy weakly cut-stable map. Following this, it is explored the conditions under which the extension map to be fuzzy order isomorphism.

Keywords

quantitative domainfuzzy weakly cut-stable mapextension mapisomorphism
CLC number: 06B35, 08A72, 54C20

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AIMS Mathematics
Volume 7 Issue 5,
May 2022
Pages 7507-7518
DOI: 10.3934/math.2022421

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Cite this article:
Ma N, Luo Q, Xu G. Characterization of extension map on fuzzy weakly cut-stable map. AIMS Mathematics, 2022, 7(5): 7507-7518. https://doi.org/10.3934/math.2022421

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Received: 14 April 2021
Revised: 06 December 2021
Accepted: 07 December 2021
Published: 15 May 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)