Dini’s Theorem for Fuzzy Number-Valued Continuous Functions
This work aims to provide several versions of Dini’s theorem for fuzzy number-valued continuous functions defined on a compact set <i>K</i>. In this context, there is a wide variety of possibilities since, unlike the real line, we can consider different topologies and orders on the set o...
| প্রধান লেখক: | , , |
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| বিন্যাস: | প্রবন্ধ |
| ভাষা: | English |
| প্রকাশিত: |
MDPI AG
2024-10-01
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| মালা: | Mathematics |
| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | https://www.mdpi.com/2227-7390/12/20/3209 |
| সংক্ষিপ্ত: | This work aims to provide several versions of Dini’s theorem for fuzzy number-valued continuous functions defined on a compact set <i>K</i>. In this context, there is a wide variety of possibilities since, unlike the real line, we can consider different topologies and orders on the set of fuzzy numbers. For example, we will show that the fuzzy Dini’s theorem holds for the usual partial orders and the most commonly used topologies but does not hold for all orders in general. |
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| আইএসএসএন: | 2227-7390 |