TARU PUBLICATIONS
Journal of Interdisciplinary Mathematics cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Freq.: MONTHLY - Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Open Access Research Article

Soft P–field with some of their properties

* , ,

* Corresponding author · click or hover a name for details

pp. 1601–1606Vol. 26Issue 7October 2023DOI: 10.47974/JIM-1586XML
Published Online:
09 Dec 2023
Article type:
Research Article
Language:
EN
Article no.:
JIM-1586
Pages:
1601–1606

Abstract

In this paper, we introduce the notion of soft P–field. Characterization and different properties of this concept are studied as well as the restriction concept of soft P–field is introduced.

Keywords

Subject Classifications

12J0512J1006D72

References

[1] Z. Wang and G. Klir, Generalized Measure Theory, 1st ed. Springer Science and Business Media, LLC, New York (2009).
[2] I. S. Ahmed and H. H. Ebrahim, “Generalizations of σ-field and new collections of sets noted by δ-field,” AIP Conf. Proc., vol. 2096, no. 20019, p. 020019-1 - 020019-6 (2019), doi: 10.1063/1.5097816.
[3] I. S. Ahmed and H. H. Ebrahim, “On α-field and β-field,” J. Phys. Conf. Ser., vol. 1294, no. 3 (2019), doi: 10.1088/1742-6596/1294/3/032015.
[4] S. H. Asaad, I. S. Ahmed, and H. H. Ebrahim, “On Finitely Null-additive and Finitely Weakly Null-additive Relative to the σ–ring,” Baghdad Sci. J., vol. 19, no. 5, pp. 1148–1154 (2022).
[5] I. S. Ahmed and H. H. Ebrahim, “On measure relatively to fuzzy σ-algebra,” J. Phys. Conf. Ser., vol. 2322, no. 1 (2022), doi: 10.1088/1742-6596/2322/1/012020.
[6] I. S. Ahmed, H. H. Ebrahim, and A. Al-Fayadh, “γ– algebra of Sets and Some of its Properties,” Iraqi J. Sci., vol. 63, no. 11, pp. 4918–4927 (2022), doi: 10.24996/ijs.2022.63.11.28.
[7] N. Endou, K. Nakasho, and Y. Shidama, “σ-ring and σ-algebra of Sets,” Formaliz. Math., vol. 23, no. 1, pp. 51–57 (2015), doi: 10.2478/forma-2015-0004.
[8] I. S. Ahmed, S. H. Asaad, and H. H. Ebrahim, “Some new properties of an outer measure on a σ–field,” J. Interdiscip. Math., vol. 24, no. 4, pp. 947–952 (2021), doi: 10.1080/09720502.2021.1884386.
[9] R. B. ASH, Real Analysis and Probability, 1st ed. Academic Press (1972).
[10] N. Çaǧman, S. Karata, and S. Enginoglu, “Soft topology,” Comput. Math. with Appl., vol. 62, no. 1, pp. 351–358 (2011), doi: 10.1016/j.camwa.2011.05.016.

Views: 123Downloads: 4Citations: 0