On b#-Open Sets

Parameswari, R.; Thangavelu, P.

doi:10.14445/22315373/ijmtt-v5p514

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2017

2024

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Cited by 4 publications

(3 citation statements)

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“…Ali [2] introduced the concept of gp closed sets in topological spaces. Usha Parameswari and Thangavelu [8] introduced b# opensets and studied its properties in 2014. Vidhya and Parimelazhagan [9] introduced g*b closed sets in 2012.…”

Section: Introductionmentioning

confidence: 99%

REVIEW OF WπGR CLOSED SETS IN TOPOLOGICAL SPACES

S. R,

E. N,

MATHEW

2024

JAM

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Section: Introductionmentioning

confidence: 99%

REVIEW OF WπGR CLOSED SETS IN TOPOLOGICAL SPACES

S. R,

E. N,

MATHEW

2024

JAM

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“…Several concepts of the fuzzy topological space have been recently extended to intuitionistic fuzzy topological spaces [6][7][8][9]. Parameswari and Thangavelu [10] introduced the concept of b # -open set in ordinary topological spaces and studied several properties of this concept as well as the relationship between the b # -set and other sets. The concept of door spaces was studied in classical topology [11] and then by Donchev [12].…”

Section: Introductionmentioning

confidence: 99%

Door Spaces in Intuitionistic Fuzzy Topological Spaces

Al-Qubati

Sayed

2022

IJFIS

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In this study, a new concept of generalized intuitionistic fuzzy topological space, called intuitionistic fuzzy b ∼ -door space, is introduced and several characterizations of intuitionistic fuzzy b ∼ -door spaces are analyzed. Many examples were introduced to prove the validity of these concepts. Moreover, certain properties and relationships between intuitionistic fuzzy b ∼ -door spaces and other intuitionistic fuzzy topological spaces were investigated.

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“…11. A subset A of X is called generalized star b-closed set (briefly, g*b-closed) set [16] if bcl(A)⊆H whenever A ⊆ H where H is g-open in (X, ) . The complements of the above mentioned closed sets are their respective open sets.…”

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confidence: 99%

g#b -CLOSED SETS IN TOPOLOGICAL SPACES.

Chandrasekar¹,

Atkinswestley²,

Sathyabama³

2017

IJAR

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In topological spaces closed sets and open sets are highly used in many practical and engineering problems.In this paper a new class of sets, namely g # b-closed sets is introduced in topological spaces. Moreover we analyze the relations between g # b-closed sets and already existing various closed sets. Also we find some basic properties and applications of g # b-closed, g # b-Neighbourhoods and g # b-Limit points

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On b#-Open Sets

Cited by 4 publications

References 0 publications

REVIEW OF WπGR CLOSED SETS IN TOPOLOGICAL SPACES

REVIEW OF WπGR CLOSED SETS IN TOPOLOGICAL SPACES

Door Spaces in Intuitionistic Fuzzy Topological Spaces

g#b -CLOSED SETS IN TOPOLOGICAL SPACES.

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