g_*^*-I-Closed Sets and Their Properties in in Ideal Topological Space

There are many research papers that deal with different types of generalized closed sets. Levine [4] introduced generalized closed (briefly, -closed) sets and studied their basic properties and Veera Kumar [5] introduced -closed sets in topological spaces. The purpose of this present paper is to define a new class of generalized idea closed sets called -closed sets by using -open set .In this paper, we introduce the -closed sets, characterizations and properties of -closed sets and its complement and other related sets. We prove that the class of  closed sets lies between the class of -closed sets and the class of        -closed sets. Also, we find some relations between -closed sets and already existing closed sets. -open neighborhood is introduced and their properties are investigated.

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Publication Details

Journal
IRAQI JOURNAL OF STATISTICAL SCIENCES
Published
2025-05-01
DOI
https://doi.org/10.33899/iqjoss.2025.187753
Primary Topic
Fuzzy and Soft Set Theory
Type
article
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article

g_*^*-I-Closed Sets and Their Properties in in Ideal Topological Space

Darwesh Mohammed, Rughzai Mahamood
IRAQI JOURNAL OF STATISTICAL SCIENCES
Fuzzy and Soft Set Theory
article

g_*^*-I-Closed Sets and Their Properties in in Ideal Topological Space

Darwesh Mohammed, Rughzai Mahamood
article en

Abstract

There are many research papers that deal with different types of generalized closed sets. Levine [4] introduced generalized closed (briefly, -closed) sets and studied their basic properties and Veera Kumar [5] introduced -closed sets in topological spaces. The purpose of this present paper is to define a new class of generalized idea closed sets called -closed sets by using -open set .In this paper, we introduce the -closed sets, characterizations and properties of -closed sets and its complement and other related sets. We prove that the class of  closed sets lies between the class of -closed sets and the class of        -closed sets. Also, we find some relations between -closed sets and already existing closed sets. -open neighborhood is introduced and their properties are investigated.

IRAQI JOURNAL OF STATISTICAL SCIENCESVol. 22(1)
University of Sulaimani (IQ)
Openalex Percentile: Top 86%
Fuzzy and Soft Set Theory
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