http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
On Fuzzy Point Applications of Fuzzy Topological Spaces
Radwan Abu-Gdairi,Arafa A. Nasef,Mostafa A. El-Gayar,Mostafa K. El-Bably 한국지능시스템학회 2023 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.23 No.2
In this study, different kinds of fuzzy point applications in fuzzy topological spaces wereexamined. In addition, the characteristics of fuzzy β-closed sets via the contribution offuzzy points, as well as new separation axioms, were investigated. Besides, some propertiesrelated to the β-closure of such points using the notions of weak and strong fuzzy points wereexamined with illustrated examples. New ideas regarding fuzzy β-upper limit, fuzzy β-lowerlimit, and fuzzy β-limit using the idea of fuzzy points were also discussed. Lastly, the fuzzyβ-continuous convergence on the set of fuzzy β-continuous functions was characterized withthe help of the fuzzy β-upper limit.
nth Power Root Fuzzy Sets and Its Topology
Tareq M. Al-shami,ariwan Z. Ibrahim,Abdelwaheb Mhemdi,Radwan Abu-Gdairi 한국지능시스템학회 2022 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.22 No.4
One of the most useful expansions of fuzzy sets for coping with information uncertaintiesis the q-rung orthopair fuzzy sets. In such circumstances, in this article, we define a novelextension of fuzzy sets called nth power root fuzzy set (briefly, nPR-fuzzy set) and elucidatetheir relationship with intuitionistic fuzzy sets, SR-fuzzy sets, CR-fuzzy sets and q-rungorthopair fuzzy sets. Then, we provide the necessary set of operations for nPR-fuzzy sets aswell as study their various features. Furthermore, we familiarize the concept of nPR-fuzzytopology and investigate the basic aspects of this topology. In addition, we define separatednPR-fuzzy sets and then present the concept of disconnected nPR-fuzzy sets. Moreover, westudy and characterize nPR-fuzzy continuous maps in great depth. Finally, we establish T0and T1 in nPR-fuzzy topologies and discover the links between them.