Araştırma Makalesi

Monad Discrete Spaces and Limit Monad Points on Them

Cilt: 22 Sayı: 1 30 Mart 2026
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EN

Monad Discrete Spaces and Limit Monad Points on Them

Öz

In this study, Monad discrete spaces were defined on amply soft topologies which is a more flexible and comprehensive structure from other known traditional soft topologies. The conditions under which a given amply soft set is amply soft open or amply soft closed set were given over them. Then, the amply soft set of limit monad points and closure points of any amply soft set in monad discrete spaces was investigated and the relevant properties were given. And then, as an extra, limit monad points in amply soft topological spaces produced by classical topologies were investigated and the relevant property was given. While constructing amply soft sets, specifically focused on amply soft topologies formed by selecting real numbers from both universal and parametric spaces unlike the traditional soft sets. Finally, a question was left that we hope will catch the reader's attention.

Anahtar Kelimeler

Etik Beyan

There are no ethical issues after the publication of this manuscript journal.

Teşekkür

I would like to express my gratitude to the journal's esteemed reviewers for their suggestions during the writing evaluation process, which contributed to the final version of this manuscript.

Kaynakça

  1. [1]. Zadeh L.A. 1965. Fuzzy sets. Inform Control, 8, 338-353.
  2. [2]. Gorzalzany M.B. 1987. A method of inference in approximate reasoning based on interval valued fuzzy sets. Fuzzy Sets Syst. 21, 1-17.
  3. [3]. Atanassov K. 1986. Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20, 87-96.
  4. [4]. Smarandache F. 2005. Neutrosophic set, a generalisation of the generalized fuzzy sets, Inter. J.Pure Appl. Math. 24, 287-297.
  5. [5]. Gau W.L. and Buehrer D.J. 1993. Vague sets, IEEE Trans. System Man Cybernet, 23.2, 610- 614.
  6. [6]. Pawlak Z. 1982. Rough sets. Int. J. Comp. Inf. Sci. 11, 341- 356.
  7. [7]. Molodtsov D. 1999. Soft set theory first results. Comput. Math. Appl. 37, 19- 31.
  8. [8]. Maji P.K., Biswas R., Roy R. 2003. Soft set theory, Comput. Math. Appl., 45 555-562.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Topoloji, Temel Matematik (Diğer)

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Mart 2026

Gönderilme Tarihi

14 Şubat 2025

Kabul Tarihi

25 Kasım 2025

Yayımlandığı Sayı

Yıl 2026 Cilt: 22 Sayı: 1

Kaynak Göster

APA
Göçür, O. (2026). Monad Discrete Spaces and Limit Monad Points on Them. Celal Bayar University Journal of Science, 22(1), 67-75. https://doi.org/10.18466/cbayarfbe.1640028
AMA
1.Göçür O. Monad Discrete Spaces and Limit Monad Points on Them. Celal Bayar University Journal of Science. 2026;22(1):67-75. doi:10.18466/cbayarfbe.1640028
Chicago
Göçür, Orhan. 2026. “Monad Discrete Spaces and Limit Monad Points on Them”. Celal Bayar University Journal of Science 22 (1): 67-75. https://doi.org/10.18466/cbayarfbe.1640028.
EndNote
Göçür O (01 Mart 2026) Monad Discrete Spaces and Limit Monad Points on Them. Celal Bayar University Journal of Science 22 1 67–75.
IEEE
[1]O. Göçür, “Monad Discrete Spaces and Limit Monad Points on Them”, Celal Bayar University Journal of Science, c. 22, sy 1, ss. 67–75, Mar. 2026, doi: 10.18466/cbayarfbe.1640028.
ISNAD
Göçür, Orhan. “Monad Discrete Spaces and Limit Monad Points on Them”. Celal Bayar University Journal of Science 22/1 (01 Mart 2026): 67-75. https://doi.org/10.18466/cbayarfbe.1640028.
JAMA
1.Göçür O. Monad Discrete Spaces and Limit Monad Points on Them. Celal Bayar University Journal of Science. 2026;22:67–75.
MLA
Göçür, Orhan. “Monad Discrete Spaces and Limit Monad Points on Them”. Celal Bayar University Journal of Science, c. 22, sy 1, Mart 2026, ss. 67-75, doi:10.18466/cbayarfbe.1640028.
Vancouver
1.Orhan Göçür. Monad Discrete Spaces and Limit Monad Points on Them. Celal Bayar University Journal of Science. 01 Mart 2026;22(1):67-75. doi:10.18466/cbayarfbe.1640028