Some remarks on fuzzy strongly irresolvable spaces

Thangaraj, G.; Vijayan, D.

doi:10.30948/afmi.2019.17.2.165

Cited by 3 publications

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“…(2) sint -(λ) = ∨ {µ / µ≤ λ, µ is fuzzy semi open in (X,T). Theorem 2.1 [17]: If (X,T) is the fuzzy globally disconnected space, then for any fuzzy semi-closed set λ in (X,T), cl(1− λ) = 1 − => ;< λ , in (X,T). Theorem 2.2 [13]: If ?…”

Section: (X) Fuzzy Open Hereditarily Irresolvable Space If Int CL (λ)mentioning

confidence: 99%

“…Theorem 2.4 [16]: If is an fuzzy somewhere dense set in a fuzzy hyperconnected space X, T , then is an fuzzy dense set in X, T . Theorem 2.5 [17]: If is an fuzzy residual set in the globally disconnected space (X,T), then is an fuzzy -set in (X,T).…”

Section: (X) Fuzzy Open Hereditarily Irresolvable Space If Int CL (λ)mentioning

confidence: 99%

“…Theorem 2.12 [17]: If λ is a fuzzy semi-open and fuzzy dense set in the fuzzy globally disconnected space (X,T), then λ is the fuzzy simply open set in (X,T).…”

Section: (X) Fuzzy Open Hereditarily Irresolvable Space If Int CL (λ)mentioning

confidence: 99%

“…(iii). fuzzy globally disconnected space if each fuzzy semi-open set in (X,T) is fuzzy open in (X,T) [17]. (iv).…”

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confidence: 99%

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On Fuzzy Semi-P-spaces and Related Concepts

Thangaraj¹,

Vinothkumar²

2022

PAMJ

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In this paper the notion of fuzzy semi-P-spaces is introduced and studied. It is established that the class of fuzzy semi-P-spaces lies between the classes of fuzzy-P-spaces and fuzzy almost-P-spaces. It is established that fuzzy fuzzy σnowhere dense sets in fuzzy Semi-P-spaces are fuzzy Semi-closed sets and fuzzy G δ -sets and fuzzy F σ -sets are fuzzy σnowhere sets in fuzzy hyperconnected and semi-P-spaces are fuzzy dense sets. Also it is found that fuzzy residual sets in fuzzy globally disconnected and fuzzy Semi-P-spaces are fuzzy semi-open sets and fuzzy G δ -sets in fuzzy perfectly disconnected and fuzzy Semi-P-spaces are fuzzy pre-open sets. Also it is established that fuzzy hyperconnected and semi-P-spaces are fuzzy irresolvable spaces. The conditions for fuzzy semi-P-spaces to become fuzzy σ-Baire spaces and fuzzy Baire spaces are obtained. The conditions for the fuzzy semi-P-spaces to become fuzzy strongly irresolvable spaces are also obtained in this paper.

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Section: (X) Fuzzy Open Hereditarily Irresolvable Space If Int CL (λ)mentioning

confidence: 99%

Section: (X) Fuzzy Open Hereditarily Irresolvable Space If Int CL (λ)mentioning

confidence: 99%

“…Theorem 2.12 [17]: If λ is a fuzzy semi-open and fuzzy dense set in the fuzzy globally disconnected space (X,T), then λ is the fuzzy simply open set in (X,T).…”

Section: (X) Fuzzy Open Hereditarily Irresolvable Space If Int CL (λ)mentioning

confidence: 99%

“…(iii). fuzzy globally disconnected space if each fuzzy semi-open set in (X,T) is fuzzy open in (X,T) [17]. (iv).…”

mentioning

confidence: 99%

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On Fuzzy Semi-P-spaces and Related Concepts

Thangaraj¹,

Vinothkumar²

2022

PAMJ

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“…That is, cl(λ) = 1 implies that clint(λ) = 1, in (X, T ). [15] (vi) fuzzy simply Lindelof if each cover of X by fuzzy simply open sets has a countable subcover.That is, (X, T ) is a fuzzy simply Lindelof space if…”

Section: Preliminariesmentioning

confidence: 99%

On Fuzzy Weakly Simply Lindelo¨ F Spaces

Thangaraj¹,

Dharmasaraswathi²

2020

International Journal of Mathematics Research

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On Fuzzy Baire-Separated Spaces and Related Concepts

Thangaraj,

Raji

2024

PAMJ

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In this paper, a new class of fuzzy topological spaces, namely fuzzy Baire-separated spaces is introduced in terms of fuzzy Baire sets. Several characterizations of fuzzy Baire-separated spaces are established. It is shown that fuzzy Baire sets lie between disjoint fuzzy P-sets and fuzzy F<sub>σ</sub>- sets in a fuzzy Baire-separated space. Conditions under which fuzzy topological spaces become fuzzy Baire-separated spaces are established. Fuzzy nowhere dense sets are fuzzy closed sets in fuzzy nodec spaces and subsequently a question will arise. Which fuzzy topological spaces [other than fuzzy hyperconnected spaces, fuzzy globally disconnected spaces] have fuzzy closed sets with fuzzy nowhere denseness? For this, fuzzy topological spaces having fuzzy closed sets with fuzzy nowhere denseness are identified in this paper. It is verified that fuzzy ultraconnected spaces are non fuzzy Baire -separated spaces. The means, by which fuzzy weakly Baire space become fuzzy Baire -separated spaces and in turn fuzzy Baire - separated spaces become fuzzy seminormal spaces, are obtained. There are scope in this paper for exploring the inter-relations between fuzzy Baire spaces and Baire -separated spaces.

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Some remarks on fuzzy strongly irresolvable spaces

Cited by 3 publications

References 0 publications

On Fuzzy Semi-P-spaces and Related Concepts

On Fuzzy Semi-P-spaces and Related Concepts

On Fuzzy Weakly Simply Lindelo¨ F Spaces

On Fuzzy Baire-Separated Spaces and Related Concepts

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