Gradation of continuity for mappings between L-soft topological spaces

Yıl 2022, Cilt: 12 Sayı: 3, 781 - 792, 15.07.2022

Vildan Çetkin

https://doi.org/10.17714/gumusfenbil.847795

Öz

In this article, we aim to present the degrees of continuity, closedness and openness for a soft mapping which is defined between L-soft topological spaces, where L is a complete DeMorgan algebra. We propose the gradation of continuity for a soft mapping with the help of the soft closure operators and by considering the fuzzy soft inclusion which depends on the lattice implication. We also observe many characterizations and properties of the degree of the continuity. Then, we present the degree of openness for a soft mapping with help of the soft interior operators. At the end, we investigate the relations among the proposed concepts; the degree of continuity, closedness and openness in a natural way.

Anahtar Kelimeler

Closure, Continuity, Fuzzy soft set, L-soft topology, Openness, Soft maping

L-esnek topolojik uzaylar arasındaki dönüşümler için sürekliliğin derecelendirmesi

Öz

Bu çalışmada, L bir tam DeMorgan cebiri olmak üzere, L-esnek topolojik uzaylar arasında tanımlanan esnek dönüşümler için süreklilik, kapalılık ve açıklığın derecelendirmesini sunmayı amaçladık. Esnek kapanış operatörleri yardımıyla ve kafes gerektirme işlemine dayanan bulanık esnek içerme bağıntısının da dikkate alınmasıyla esnek bir dönüşüm için sürekliliğin derecelendirmesini ifade ettik. Ayrıca sürekliliğin bu derecelendirmesinin birçok karakterizasyonunu ve özelliğini gözlemledik. Daha sonra, esnek iç operatörlerinin yardımıyla esnek dönüşümler için açıklığın derecelendirmesini verdik. En sonunda, ifade edilen yapılar olan sürekliliğin, kapalılığın ve açıklığın derecelendirmeleri arasındaki ilişkileri doğal bir yolla inceledik.

Anahtar Kelimeler

Kapanış, Süreklilik, Bulanık esnek küme, L-esnek topoloji, Açıklık, Esnek dönüşüm

Kaynakça

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