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Closed Sets

Closed Sets for Labeled Data

Closed Sets for Labeled Data

... large sets of data a minimum support threshold will be usually imposed (see more details in the experimental ...relevant sets will be naturally pruned by the minimum support constraint, which might have an ...

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On θ generalized closed sets

On θ generalized closed sets

... Example 3.14. Let X = {a,b,c,d} and τ = {∅,{a},{a,b}, {a,c,d},X}. Then {∅,X} is the set of all θ-closed sets of (X,τ) and TGC(X,τ) = {∅,{b,c},{b,d}, {b,c,d}, {a,b,d},{a,b,c},X}. Let H = {b,c,d} be a set of ...

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On Nano Generalised Pre Closed Sets and Nano Pre Generalised Closed Sets in Nano Topological Spaces

On Nano Generalised Pre Closed Sets and Nano Pre Generalised Closed Sets in Nano Topological Spaces

... generalised closed sets as a generalization of closed sets in topological ...gpclosed sets and pgclosed sets in an analogous ...Nano closed sets ,Nano-interior and ...

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Some Generalizations of Locally Closed Sets

Some Generalizations of Locally Closed Sets

... Locally closed sets in a topological space are introduced and investigated in [3] and ...locally closed sets, Arenas et al. [1] introduced the notion of λ-closed sets in a ...

7

Fine GS Closed Sets and Fine SG Closed Sets in Fine Topological Space

Fine GS Closed Sets and Fine SG Closed Sets in Fine Topological Space

... semi closed sets to characterize the s- ...generalized closed sets in topological ...generalized closed sets ...gs closed sets and Fine sg closed sets ...

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Supra*g-Closed Sets in Supra Topological Spaces

Supra*g-Closed Sets in Supra Topological Spaces

... generalized closed sets have been introduced over the ...the closed set is called supra*g-closed in supra topological spaces and investigate some of the basic properties ...

6

On   -closed sets in bitopological spaces

On -closed sets in bitopological spaces

... -closed sets [12] in bitopological spaces. Properties of these sets are investigated and we introduce two new bitopological spaces (i, j)- T ˆˆ 1/ 2 spaces and (i, j)- T ˆ f spaces as ...

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G-Nαg Closed Sets and G-Ngα Closed Sets in Grill Nano Topological Spaces

G-Nαg Closed Sets and G-Ngα Closed Sets in Grill Nano Topological Spaces

... alpha closed sets, Nano alpha generlized closed sets, Nano semi generalized closed sets, Nano generalized alpha interior and Nano generalized alpha closure in Nano topological ...

7

On generalized ω closed sets

On generalized ω closed sets

... gω-closed sets. This class of sets is finer than g-closed sets and ω-closed ...of sets. In the space (X,τ ω ), the concepts closed set, g-closed set, ...

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m*-Operfect Sets and $\alpha$-m*-Closed Sets

m*-Operfect Sets and $\alpha$-m*-Closed Sets

... The study of ideal topological spaces was initiated by Kuratowski [5] and Vaidyanathaswamy [14]. Several authors studied and developed the properties of topological spaces and ideal minimal spaces ...

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Application of αδ Closed Sets

Application of αδ Closed Sets

... In 1967, A. Wilansky [1] introduced and studied the concept of spaces. Also, the notion of αδ-closed sets of a topological space is discussed by R. Devi, V. Kokilavani and P. Basker [2,3]. The concept of ...

5

$(1,2)^*$-rg$\alpha$-Closed sets in bitopological spaces

$(1,2)^*$-rg$\alpha$-Closed sets in bitopological spaces

... generalized closed sets in general topology as a generalization of closed ...generalized closed sets, their generalizations and related concepts in general ...α-closed ...

15

Operation on $lak$-closed sets

Operation on $lak$-closed sets

... open sets play a vital role in research area of General ...open sets in ...semi-open sets to define the notion of semi-generalized closed ...of sets and studied the con- cept of ...

5

MORPHOLOGICAL SAMPLING OF CLOSED SETS

MORPHOLOGICAL SAMPLING OF CLOSED SETS

... on closed sets, where with each portion of the closed set one associates some neighbouring grid points, the “closeness” of the original set to its sampling must be measured in the same way at any ...

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Minimal closed sets and maximal closed sets

Minimal closed sets and maximal closed sets

... minimal closed sets and maximal closed sets are obtained, which are dual concepts of maximal open sets and minimal open sets, ...minimal closed sets and minimal ...

8

A note on θ generalized closed sets

A note on θ generalized closed sets

... Abstract. The purpose of this note is to strengthen several results in the literature concerning the preservation of θ-generalized closed sets. Also conditions are established under which images and inverse ...

5

: 54A05,54B05,54C08 ,54D10 KEY WORDS: semipreopen sets, g-closed sets .gr-closed sets ,rg-closed sets ,gb-closed sets.

: 54A05,54B05,54C08 ,54D10 KEY WORDS: semipreopen sets, g-closed sets .gr-closed sets ,rg-closed sets ,gb-closed sets.

... g-closed sets and g-open sets in ...rg-closed sets ,rg-continuity and rg- irresoluteness in topological ...gsp-closed sets , g-closed sets, ...

5

Between closed and Ig-closed sets

Between closed and Ig-closed sets

... of closed sets is a central object in general ...of closed sets to a larger families, Norman Levine initiated the study of generalized closed ...of closed subsets, which are ...

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ON Πgb*-Closed Sets in Topological Spaces

ON Πgb*-Closed Sets in Topological Spaces

... open sets and b-open sets respectively in topological ...b-open sets is contained in the class of semipre-open sets and contains the class of semi-open and the class of pre-open ...

9

g- Closed Sets In Topological Spaces

g- Closed Sets In Topological Spaces

... Semi-generalized closed sets in topology, Indian ...open sets, ...N.,Semi-open sets and semi-continuity in topological spaces, ...N.,Generalized closed sets in topological ...

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