An order relationship in fuzzy quasi-metric space and its application in optimization

唐肖，吴健荣*

doi:10.15983/j.cnki.jsnu.2023111

Journal of Shaanxi Normal University(Natural Science Edition) >

2023 , Vol. 51 >Issue 1: 65 - 70

DOI: https://doi.org/10.15983/j.cnki.jsnu.2023111

An order relationship in fuzzy quasi-metric space and its application in optimization

唐肖，吴健荣*

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（College of Mathematics Science, Suzhou University of Science and Technology,Suzhou 215009，Jiangsu，China）

Online published: 2023-05-06

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Abstract

In a fuzzy quasi-metric space, an order relation between two elements is given, the relationships between this order and the topological properties are investigated. On these bases, the new concepts of the infimum and the supremum of subsets are defined. Moreover, the maximum and minimum theorems are proved for semicontinuous mappings on compact subsets.

Key words： fuzzy quasi-metric; order relation; optimization

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唐肖，吴健荣* . An order relationship in fuzzy quasi-metric space and its application in optimization[J]. Journal of Shaanxi Normal University(Natural Science Edition), 2023 , 51(1) : 65 -70 . DOI: 10.15983/j.cnki.jsnu.2023111

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