TY  - JOUR
T1  - Isolated Monad Points on Amply Soft Topological Spaces
TT  - Amply Soft Topolojik Uzaylar Üzerinde İzole Monad Noktaları
AU  - Göçür, Orhan
AU  - Karakaş, Gürkan
AU  - Kopuzlu, Abdullah
PY  - 2025
DA  - November
Y2  - 2025
DO  - 10.21597/jist.1646500
JF  - Journal of the Institute of Science and Technology
JO  - J. Inst. Sci. and Tech.
PB  - Igdir University
WT  - DergiPark
SN  - 2536-4618
SP  - 1504
EP  - 1512
VL  - 15
IS  - 4
LA  - en
AB  - In this study, isolated monad points are introduced. For any amply soft set, an amply soft set of isolated monad points on amply soft topological spaces is defined. The relationship between limit monad points, closure points and isolated monad points is mentioned and some properties related to these are given. While creating amply soft sets in the given examples, special focus is given to amply soft topologies that are created by selecting real numbers from both universal and parametric spaces, unlike traditional soft sets.
KW  - A new extended soft set
KW  - Amply soft set
KW  - Amply soft topology
KW  - Isolated monad point
KW  - Limit monad point
N2  - Bu çalışmada, izole monad noktaları tanıtılmıştır. Herhangi bir amply soft küme için, amply soft topolojik uzaylar üzerindeki izole monad noktalarının amply soft kümesi oluşturulmuştur. Limit monad noktaları ve kapanış noktaları ile izole monad noktaları arasındaki ilişkiye değinilmiş ve bununla ilgili bazı özellikler verilmiştir. Verilen örneklerde amply soft kümeler oluşturulurken, geleneksel soft kümelerden farklı olarak hem evrensel hem de parametrik uzaylardan reel sayılar seçilerek oluşturulan amply soft topolojilere özel olarak odaklanılmıştır.
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UR  - https://doi.org/10.21597/jist.1646500
L1  - https://dergipark.org.tr/en/download/article-file/4639285
ER  -