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Separation axioms in interval-valued soft topological spaces

S. H. Han|K. Hur|J. I. Baek|S. Jafari|G. Senel
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2024.10|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제28권 제2호|pp. 195-222|DOI 10.30948/afmi.2024.28.2.195

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키워드

3412Interval-valued soft topological spaceIVS$T_{i}$(j)-space (i=0j=iii)Interval-valued α-open [resp. closed] setIVSα$T_{i}$(j)-space (i=0

초록

Our purpose of the research is to investigate two aspects: First, we introduce the concept of separation axioms in an interval-valued soft topological space, and obtain some of its properties and give some examples. Second, we propose new separation axioms in an interval-valued soft topological space by using interval-valued $\alpha$-open sets basic topological structures based on interval-valued soft set, and study some of their basic properties. Furthermore, we deal with hereditary problems of each separation axiom.

Abstract

Our purpose of the research is to investigate two aspects: First, we introduce the concept of separation axioms in an interval-valued soft topological space, and obtain some of its properties and give some examples. Second, we propose new separation axioms in an interval-valued soft topological space by using interval-valued $\alpha$-open sets basic topological structures based on interval-valued soft set, and study some of their basic properties. Furthermore, we deal with hereditary problems of each separation axiom.

참고문헌 (43)

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