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semi open sets

Limit Points and Separation Axioms with Respect to Supra Semi-open Sets

Limit Points and Separation Axioms with Respect to Supra Semi-open Sets

... A = ∅. This implies that x 6∈ A s0 . But this is a contradiction. Hence, it must be that A s0 = ∅. We explain that the three properties mentioned in the above theorem need not be true if (X, µ) does not have the ...

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To The Study of Preliminaries on Semi Open Sets And Semi Continuous Functions

To The Study of Preliminaries on Semi Open Sets And Semi Continuous Functions

... 𝛍-open sets due to Sharma[25] to fuzzy topological spaces. In chapter 1, semi open sets and semi continuous functions due to Levine[14] are ...𝛍-open sets and 𝛍- ...

13

Some Remarks on Semi Open Sets with Respect to an Ideal

Some Remarks on Semi Open Sets with Respect to an Ideal

... “On semi open sets with respect to an ideal” in which it generalizes the notion of semi open sets defined by Norman Levine in [ 3 ] ...-semi open set as follows: ...

5

Fuzzy Semi-Open Sets and Fuzzy Pre-Open Sets in Fuzzy Quad Topological Space

Fuzzy Semi-Open Sets and Fuzzy Pre-Open Sets in Fuzzy Quad Topological Space

... tri semi-open sets and fuzzy tri pre-open sets, fuzzy tri continuous function, fuzzy tri semi-continuous function and fuzzy tri pre-continuous functions and their basic ...

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Fuzzy Semi-Open Sets and Fuzzy Pre-Open Sets in Fuzzy Tri Topological Space

Fuzzy Semi-Open Sets and Fuzzy Pre-Open Sets in Fuzzy Tri Topological Space

... [5] Kandil A., Biproximities and fuzzy bitopological spaces, Simon Steven 63(1989) ,45-66. [6]Kovar, M.,(2000).On 3-Topological version of Thet-Reularity. Internat.J.Matj,Sci. ,23(6),393-398. [7] Levine N.(1963). ...

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On Semi-open Sets with Respect to an Ideal

On Semi-open Sets with Respect to an Ideal

... of semi-open sets and generalized closed sets [11, 12], there have been other attempts by some topologists to study closed sets - to- gether with the accompanying topological notions - ...

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Study of  Fuzzy Semi Open Sets in  Fuzzy Topological Spaces

Study of Fuzzy Semi Open Sets in Fuzzy Topological Spaces

... fuzzy sets of X is called a fuzzy topology [2] on X if 0,1 belongs to  and  is super closed with respect to arbitrary union and finite intersection ...super open sets and their complement are fuzzy ...

6

Vol 7, No 7 (2016)

Vol 7, No 7 (2016)

... The idea of grills on a topological space was first introduced by Choquet [2] in 1947. In [8], Roy and Mukherjee defined and studied a typical topology associated rather naturally to the existing topology and a grill on ...

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Fuzzy Open Sets and Fuzzy Open Sets in Fuzzy Quad Topological Space Ranu Sharma 1, Bhagyashri A. Deole2 and Smita Verma 3

Fuzzy Open Sets and Fuzzy Open Sets in Fuzzy Quad Topological Space Ranu Sharma 1, Bhagyashri A. Deole2 and Smita Verma 3

... pre semi open sets ( α open ...α open sets in bitopological ...introduced semi-pre-open sets ( β open sets) in topological ...of semi ...

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Decompositions of m(1,2)*-Continuity

Decompositions of m(1,2)*-Continuity

... -sets, semi- open sets, pre-open ...mappings, semi-open ...of sets with some theorems, examples and counter ...

8

On #Regular Generalized Open Sets In Topological Space

On #Regular Generalized Open Sets In Topological Space

... Regular open sets and rw-open sets have been introduced and investigated by Stone[16] and Benchalli and Wali[1] ...investigated semi open sets, generalized closed ...

5

Vol 8, No 12 (2017)

Vol 8, No 12 (2017)

... generalized open sets in a topological space, called 𝑣 -open sets, is introduced and ...all semi*-open sets and all pre*open ...of sets, namely ∗ 𝑣 ...

5

Vol 2, No 11 (2011)

Vol 2, No 11 (2011)

... of semi-open sets and semi-continuity, and preopen sets and precontinuity were introduced by Levine [5] and Mashhour et al [6], ...weakly open sets called 1,2 -open ...

9

On a Weaker Form of b-open Sets in Extended Topological Spaces

On a Weaker Form of b-open Sets in Extended Topological Spaces

... α-open sets. The notion of semi-open sets was introduced by Levine [10] and Mashhour [12] introduced pre-open sets in topological ...generalized open sets in ...

8

On Pre Generalized Pre Regular Weakly Open Sets and Pre Generalized Pre Regular Weakly Neighbourhoods in Topological Spaces

On Pre Generalized Pre Regular Weakly Open Sets and Pre Generalized Pre Regular Weakly Neighbourhoods in Topological Spaces

... Regular open sets then Regular semi open sets, Pre-open sets, gspr closed sets, gpr closed sets, gp closed sets,Rg closed sets, rgα-closed ...

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Vol 9, No 10 (2018)

Vol 9, No 10 (2018)

... closed sets are introduced and some of their basic properties are discussed by ...binary semi open sets in binary topological spaces and studied their ...of sets called generalized ...

7

Vol 3, No 7 (2012)

Vol 3, No 7 (2012)

... Also he introduced the notion of semi open sets in topological spaces .Bhattacharyya and Lahiri [1] introduced a class of sets called semi generalized closed sets by means of semi o[r] ...

7

Decomposition of continuity via $\theta$-local function in ideal topological spaces

Decomposition of continuity via $\theta$-local function in ideal topological spaces

... α-I-open sets, semi-I-open sets and β -I-open sets to obtain a decomposition of ...of sets called ∗θ-pre-open sets, ∗θ-semi-open ...

9

On characterization of fuzzy η-continuous functions where η∈ {α, p, q, semi, pre, β, strongly pre}

On characterization of fuzzy η-continuous functions where η∈ {α, p, q, semi, pre, β, strongly pre}

... α-open sets,C-fuzzy semi-open sets, C-fuzzy pre-open sets, C-fuzzy β-open sets, C-fuzzy strongly pre-opensets, C-fuzzy p-sets, C-fuzzy q-sets ...

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On Analytical Approach to Semi-Open/Semi-Closed Sets

On Analytical Approach to Semi-Open/Semi-Closed Sets

... of open and closed sets in metric spaces as well as in topological spaces precise definitions of semi-open/ semi-closed sets were given and furthermore basic analytical ...

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