2018
DOI: 10.3390/info9050103
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On Neutrosophic αψ-Closed Sets

Abstract: Abstract:The aim of this paper is to introduce the concept of αψ-closed sets in terms of neutrosophic topological spaces. We also study some of the properties of neutrosophic αψ-closed sets. Further, we introduce continuity and contra continuity for the introduced set. The two functions and their relations are studied via a neutrosophic point set.

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Cited by 8 publications
(6 citation statements)
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“…Florentin Smarandache 3 defined the neutrosophicset on three components (t,f,i) = (truth, falsehood, indeterminacy).This opened up a wide range of investigation in terms of neutosophic topology and its application in decision-making algorithms. Dhavaseelan.R and Jafari 4 introduced generalized Neutrosophic closed sets in 2018.Mani Parimala et al 5 introduced neutrosophic αψ-closed sets in 2018. Pushpalatha A et al 6 introduced generalized closed sets via Neutrosophic topological spaces in 2019.Renu Thomas et al 7 introduced and studied semi pre-open(or β-open) sets in neutrosophic topological spaces.…”
Section: Introductionmentioning
confidence: 99%
“…Florentin Smarandache 3 defined the neutrosophicset on three components (t,f,i) = (truth, falsehood, indeterminacy).This opened up a wide range of investigation in terms of neutosophic topology and its application in decision-making algorithms. Dhavaseelan.R and Jafari 4 introduced generalized Neutrosophic closed sets in 2018.Mani Parimala et al 5 introduced neutrosophic αψ-closed sets in 2018. Pushpalatha A et al 6 introduced generalized closed sets via Neutrosophic topological spaces in 2019.Renu Thomas et al 7 introduced and studied semi pre-open(or β-open) sets in neutrosophic topological spaces.…”
Section: Introductionmentioning
confidence: 99%
“…Garg [20] presented some aggregation operators for PFSs and investigated application of decision making approach based on proposed picture fuzzy aggregation operator. Peng and Dai [21] proposed an algorithm for PFS and applied in decision making based on new distance measure. In this era, several mathematicians have been focusing on correlation coefficients, similarity measures, aggregation operators, topological spaces, and applications for decision-making.…”
Section: Introductionmentioning
confidence: 99%
“…After Molodtsov, many researchers have shown interest in soft sets and their applications. Maji [4,5] introduced neutrosophic soft sets with operators, which are free from difficulties since neutrosophic sets [6][7][8][9] can handle indeterminate information. However, the neutrosophic sets and operators are hard to apply in real life applications.…”
Section: Introductionmentioning
confidence: 99%