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Increasing (decreasing) pairwise soft connected in soft bitopological ordered spaces

S. H. Shalil|S. A. El-Sheikh|S. A. Kandil
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2024.10|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제28권 제2호|pp. 105-127|DOI 10.30948/afmi.2024.28.2.105

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참고문헌

키워드

Soft bitopological ordered spaces$ IPS(DPS)$-soft sets$ IP(DP)$-soft connected (disconnected) spaces$ IP(DP)$-connected (disconnected) soft sets

초록

In this paper, we introduce the notion of $ IPS$ ($DPS$)-soft sets based on the soft bitopological ordered space $(X, \tau_{1}, \tau_{2}, E, \lesssim)$ and study some of its properties. Based on this notion we introduce the notions of $ IP$ ($DP$)- soft connected (disconnected) spaces and study some of their characterizations and properties. Also, we study the connected of $ IP$ ($DP$)-soft sets by using the soft space $(X, \tau_{12}, E, \lesssim)$. Some examples have given to support these concepts.

Abstract

In this paper, we introduce the notion of $ IPS$ ($DPS$)-soft sets based on the soft bitopological ordered space $(X, \tau_{1}, \tau_{2}, E, \lesssim)$ and study some of its properties. Based on this notion we introduce the notions of $ IP$ ($DP$)- soft connected (disconnected) spaces and study some of their characterizations and properties. Also, we study the connected of $ IP$ ($DP$)-soft sets by using the soft space $(X, \tau_{12}, E, \lesssim)$. Some examples have given to support these concepts.

참고문헌 (26)

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