Continuous Fuzzy Relations in Fuzzy Topological Spaces

被引：0
|
作者：
Mockor, Jiri [1 ]
机构：
[1] Univ Ostrava, Inst Res & Applicat Fuzzy Modeling, 30 Dubna 22, Ostrava 70103 1, Czech Republic
来源：
INTELLIGENT AND FUZZY SYSTEMS, VOL 3, INFUS 2024 | 2024年 / 1090卷
关键词：
Chang fuzzy topological spaces; continuous fuzzy relation; approximation spaces; fuzzy partitions; APPROXIMATION SPACES; TOPOS; SET;
D O I：
10.1007/978-3-031-67192-0_61
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The notion of a continuous MV-valued fuzzy relation in Chang topological fuzzy space is defined, and the category Top of these spaces with continuous fuzzy relations as morphisms is presented. Equivalent conditions are presented for the fuzzy relation between two fuzzy topological structures to be continuous. Two special subcategories of Top are introduced, based on the category of fuzzy approximation spaces and the category of fuzzy partitions, both with fuzzy relations as morphisms.
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页码：540 / 546
页数：7
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