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On new classes of soft sets and functions via supra pre open soft sets

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2017

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Abstract (2. Language): 
In this paper, we generalize the notions of supra soft locally closed sets [1] and supra soft a-locally closed sets [2] by using the notions of supra pre-open soft sets [13]. Especially, we introduce the notions of supra soft P-locally closed sets, supra soft P*-locally closed sets and supra soft P**-locally closed sets in supra soft topological spaces. Also, we discuss their relationships with other supra open soft sets in detail, supported by examples and counterexamples. These examples illustrating the notions used in the paper are included. So we can see that all these concepts are independent from each other or does implies the other. Also, we introduce three different notions of generalized supra soft continuity, namely supra SPLC-continuous functions, supra SP* LC-continuous functions and supra SP** LC-continuous functions. Furthermore, we investigated some relations of these functions with other types of soft functions.
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REFERENCES

References: 

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[2] A. M. Abd El-latif, New Decompositions of Supra Soft Sets and SaLC-Continuity. To appear.
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