Araştırma Makalesi
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SEPARATION AXIOMS ON NEAR SOFT TOPOLOGICAL SPACES

Yıl 2023, , 227 - 238, 31.07.2023
https://doi.org/10.33773/jum.1150494

Öz

Near soft sets are a very successful mathematical model that has been used in order to express the decision-making process for uncertainty in a more ideal way, especially in recent years. The purpose of this paper is to contribute to the theoretical studies on near soft topological spaces. In addition, it presents basic concepts and constructs that will form the basis for a near theoretical set-up of near soft topological spaces. These concepts and structures include sub near soft set, near soft subspaces of a near soft topological space and near soft $T_i$-spaces for $0\leq i\leq 4$. The important aspects of the paper are discussed, especially by examining the definitions and properties given.

Kaynakça

  • L.A. Zadeh, Fuzzy sets, Information and Control, 8 (1965) 338-353.
  • D. Molodtsov, Soft set theory first results, Comput. Math. Appl., 37 (1999) 19-31.
  • H. Tasbozan, I. Icen, N. Bagirmaz, A.F. Ozcan, Soft sets and soft topology on nearness approximation spaces, Filomat, 31(13) (2017) 4117-4125.
  • A. Özkan, On near soft sets, Turkish Journal of Mathematics, 43 (2019) 1005–1017.
  • J.F. Peters, Near sets. Special theory about nearness of objects, Fundementa Informaticae, 75 (2007) 407-433.
  • J.F. Peters JF. Near sets. General theory about nearness of objects, Applied Mathematical Sciences, 1 (2007) 2609-2629.
  • M.A. Ozturk, E. Inan, Soft nearness approximation spaces, Fund. Inform., 124 (2013) 231–250.
  • Z. Pawlak, Rough sets, International Journal of Computer and Information Sciences, 11(5) (1982) 341–356.
  • K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986) 87–96.
  • K. Atanassov, Operators over interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 64 (1994) 159–174.
  • F. Feng, C. Li, B. Davvaz and I.M. Ali, Soft sets combined with fuzzy sets and rough sets: a tentative approach, Soft Computing, 14(9) (2010) 899–911.
  • F. Feng, X. Liu, F.L. Violeta and J.B. Young, Soft sets and soft rough sets, Inform. Sci., 181 (2011) 1125–1137.
  • D. Chen, E.E.C. Tsong, D.S. Young and X. Wong, The parametrization reduction of soft sets and its applications, Comput. Math. Appl., 49 (2005) 757–763.
  • F. Feng, Y.B. Jun, X. Liu and L.F. Li, An adjustable approach to fuzzy soft set based decision making, J. Comput. Appl. Math., 234 (2010) 10–20.
  • Y. Jiang, Y. Tang, Q. Chen, J.Wang and S. Tang, Extending soft sets with description logics, Comput. Math. Appl., 59 (2010) 2087–2096.
  • Y.B. Jun, Soft BCK/BCI-algebras, Comput. Math. Appl., 56(5) (2008) 1408–1413 .
  • Y.B. Jun and C.H. Park, Applications of soft sets in ideal theory of BCK/BCIalgebras, Inform. Sci., 178(11) (2008) 2466–2475.
  • P.K. Maji, A.R. Roy and R. Biswas, An application of soft sets in desicion making problem, Comput. Math. Appl., 44 (2002) 1077–1083.
  • D. Pei and D. Miao, From soft sets to information systems, in Proceedings of the IEEE International Conference on Granular Computing, 2 (2005) 617–621.
Yıl 2023, , 227 - 238, 31.07.2023
https://doi.org/10.33773/jum.1150494

Öz

Kaynakça

  • L.A. Zadeh, Fuzzy sets, Information and Control, 8 (1965) 338-353.
  • D. Molodtsov, Soft set theory first results, Comput. Math. Appl., 37 (1999) 19-31.
  • H. Tasbozan, I. Icen, N. Bagirmaz, A.F. Ozcan, Soft sets and soft topology on nearness approximation spaces, Filomat, 31(13) (2017) 4117-4125.
  • A. Özkan, On near soft sets, Turkish Journal of Mathematics, 43 (2019) 1005–1017.
  • J.F. Peters, Near sets. Special theory about nearness of objects, Fundementa Informaticae, 75 (2007) 407-433.
  • J.F. Peters JF. Near sets. General theory about nearness of objects, Applied Mathematical Sciences, 1 (2007) 2609-2629.
  • M.A. Ozturk, E. Inan, Soft nearness approximation spaces, Fund. Inform., 124 (2013) 231–250.
  • Z. Pawlak, Rough sets, International Journal of Computer and Information Sciences, 11(5) (1982) 341–356.
  • K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986) 87–96.
  • K. Atanassov, Operators over interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 64 (1994) 159–174.
  • F. Feng, C. Li, B. Davvaz and I.M. Ali, Soft sets combined with fuzzy sets and rough sets: a tentative approach, Soft Computing, 14(9) (2010) 899–911.
  • F. Feng, X. Liu, F.L. Violeta and J.B. Young, Soft sets and soft rough sets, Inform. Sci., 181 (2011) 1125–1137.
  • D. Chen, E.E.C. Tsong, D.S. Young and X. Wong, The parametrization reduction of soft sets and its applications, Comput. Math. Appl., 49 (2005) 757–763.
  • F. Feng, Y.B. Jun, X. Liu and L.F. Li, An adjustable approach to fuzzy soft set based decision making, J. Comput. Appl. Math., 234 (2010) 10–20.
  • Y. Jiang, Y. Tang, Q. Chen, J.Wang and S. Tang, Extending soft sets with description logics, Comput. Math. Appl., 59 (2010) 2087–2096.
  • Y.B. Jun, Soft BCK/BCI-algebras, Comput. Math. Appl., 56(5) (2008) 1408–1413 .
  • Y.B. Jun and C.H. Park, Applications of soft sets in ideal theory of BCK/BCIalgebras, Inform. Sci., 178(11) (2008) 2466–2475.
  • P.K. Maji, A.R. Roy and R. Biswas, An application of soft sets in desicion making problem, Comput. Math. Appl., 44 (2002) 1077–1083.
  • D. Pei and D. Miao, From soft sets to information systems, in Proceedings of the IEEE International Conference on Granular Computing, 2 (2005) 617–621.
Toplam 19 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Naime Demirtaş 0000-0003-4137-4810

Orhan Dalkılıç 0000-0003-3875-1398

Abdullah Demirtaş 0000-0001-9096-7888

Yayımlanma Tarihi 31 Temmuz 2023
Gönderilme Tarihi 1 Ağustos 2022
Kabul Tarihi 30 Temmuz 2023
Yayımlandığı Sayı Yıl 2023

Kaynak Göster

APA Demirtaş, N., Dalkılıç, O., & Demirtaş, A. (2023). SEPARATION AXIOMS ON NEAR SOFT TOPOLOGICAL SPACES. Journal of Universal Mathematics, 6(2), 227-238. https://doi.org/10.33773/jum.1150494
AMA Demirtaş N, Dalkılıç O, Demirtaş A. SEPARATION AXIOMS ON NEAR SOFT TOPOLOGICAL SPACES. JUM. Temmuz 2023;6(2):227-238. doi:10.33773/jum.1150494
Chicago Demirtaş, Naime, Orhan Dalkılıç, ve Abdullah Demirtaş. “SEPARATION AXIOMS ON NEAR SOFT TOPOLOGICAL SPACES”. Journal of Universal Mathematics 6, sy. 2 (Temmuz 2023): 227-38. https://doi.org/10.33773/jum.1150494.
EndNote Demirtaş N, Dalkılıç O, Demirtaş A (01 Temmuz 2023) SEPARATION AXIOMS ON NEAR SOFT TOPOLOGICAL SPACES. Journal of Universal Mathematics 6 2 227–238.
IEEE N. Demirtaş, O. Dalkılıç, ve A. Demirtaş, “SEPARATION AXIOMS ON NEAR SOFT TOPOLOGICAL SPACES”, JUM, c. 6, sy. 2, ss. 227–238, 2023, doi: 10.33773/jum.1150494.
ISNAD Demirtaş, Naime vd. “SEPARATION AXIOMS ON NEAR SOFT TOPOLOGICAL SPACES”. Journal of Universal Mathematics 6/2 (Temmuz 2023), 227-238. https://doi.org/10.33773/jum.1150494.
JAMA Demirtaş N, Dalkılıç O, Demirtaş A. SEPARATION AXIOMS ON NEAR SOFT TOPOLOGICAL SPACES. JUM. 2023;6:227–238.
MLA Demirtaş, Naime vd. “SEPARATION AXIOMS ON NEAR SOFT TOPOLOGICAL SPACES”. Journal of Universal Mathematics, c. 6, sy. 2, 2023, ss. 227-38, doi:10.33773/jum.1150494.
Vancouver Demirtaş N, Dalkılıç O, Demirtaş A. SEPARATION AXIOMS ON NEAR SOFT TOPOLOGICAL SPACES. JUM. 2023;6(2):227-38.