Decomposition of supra soft locally closed sets and supra SLC-continuity

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Abd El latif a.m.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS Year:2018 | Volume:9 | Issue:1 Page(s): 13-25

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Title

Decomposition of supra soft locally closed sets and supra SLC-continuity

Author(s)

Abd El latif a.m. | Issue Writer Certificate

Keywords

supra soft topological space

supra A{soft sets

supra soft locally closed sets

supra SLC{continuous functions

Abstract

In this paper, we introduce two di erent notions of generalized supra soft sets namely supra A{ soft sets and supra soft locally closed sets in supra soft topological spaces, which are weak forms of supra open soft sets and discuss their relationships with each other and other supra open soft sets [International Journal of Mathematical Trends and Technology (IJMTT), (2014) Vol. 9 (1): 37{ 56] like supra semi open soft sets, supra pre open soft sets, supra {open sets and supra {open sets. Furthermore, the soft union and intersection of two supra soft locally closed sets have been obtained. We also introduce two di erent notions of generalized supra soft continuity namely supra soft A{continuous functions and supra SLC{continuous functions. Finally, we obtain decompositions of supra soft continuity: fpu is a supra soft A{continuous if it is both supra soft semi-continuous and supra SLC{continuous, and also fpu is a supra soft continuous if and only if it is both supra soft pre{continuous and supra SLC{continuous. Several examples are provided to illustrate the behavior of these new classes of supra soft sets and supra soft functions.

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APA: Copy

Abd El latif, a.m.. (2018). Decomposition of supra soft locally closed sets and supra SLC-continuity. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 9(1), 13-25. SID. https://sid.ir/paper/340805/en

Vancouver: Copy

Abd El latif a.m.. Decomposition of supra soft locally closed sets and supra SLC-continuity. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS[Internet]. 2018;9(1):13-25. Available from: https://sid.ir/paper/340805/en

IEEE: Copy

a.m. Abd El latif, “Decomposition of supra soft locally closed sets and supra SLC-continuity,” INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, vol. 9, no. 1, pp. 13–25, 2018, [Online]. Available: https://sid.ir/paper/340805/en

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