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Axiomatic Characterizations of Quadripartitioned Single Valued Neutrosophic Rough Sets

Yıl 2020, Sayı: 30, 86 - 99, 26.03.2020

Öz

In this paper, axiomatic characterizations of quadripartitioned single-valued neutrosophic rough sets have been studied and also studied some properties of quadripartitioned single-valued neutrosophic rough sets. A numerical example in medical diagnosis is given, which is based on the similarity measure of quadripartitioned single-valued neutrosophic rough sets.

Kaynakça

  • L. Zadeh, Fuzzy Sets, Information and Control 8(3) (1965) 87-96.
  • K. Atanasov, Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems 20 (1986) 87-96.
  • F. Smarandache, Neutrosophy, Neutrosophic Probability, Set, and Logic, ProQuest Information & Learning, Ann Arbor, Michigan, USA, (1998) p 105.
  • F. Smarandache, A Unifying Field in Logics, Neutrosophy: Neutrosophic Probability, Set and Logic, American Research Press, (1999) Rehoboth.
  • Z. Pawlak, Rough Sets, International Journal of Computer and Information Sciences 11(5) (1982) 341-356.
  • S. Broumi, F. Smarandache, Rough Neutrosophic Sets. Italian Journal of Pure and Applied Mathematics 32 (2014) 493-502. [7] F. Smarandache, n-Valued Refined Neutrosophic Logic and Its Applications in Physics, Progress in Physics, 4 (2013) 143-146.
  • H. Wang, F. Smarandache, Y. Q. Zhang, R. Sunderraman, Single Valued Neutrosophic Sets, Multispace Multistruct 4 (2010) 410-413.
  • S Broumi, A. Dey, M. Talea, A. Bakali, F. Smarandache, D. Nagarajan, M. Lathamaheswari, R. Kumar, Shortest Path Problem using Bellman Algorithm under Neutrosophic Environment, Complex and Intelligent Systems, (2019) 1-8.
  • S. Broumi, M. Talea, A. Bakali, F. Smarandache, D. Nagarajan, M. Lathamaheswari, M. Parimala, Shortest Path Problem in Fuzzy, Intuitionistic Fuzzy and Neutrosophic Environment: An Overview, Complex and Intelligent Systems 5 (2019) 371–378.
  • S. Broumi, D. Nagarajan, A. Bakali, M. Talea, F. Smarandache, M. Lathamaheswari, The Shortest Path Problem in Interval Valued Trapezoidal and Triangular Neutrosophic Environment, Complex and Intelligent Systems 5 (2019) 391–402.
  • H. L. Yang, A Hybrid Model of Single-Valued Neutrosophic Sets and Rough Sets: Single-Valued Neutrosophic Rough Set Model, Soft Computing 21 (2017) 6253-6267.
  • N. D. Belnap, A Useful Four-Valued Logic, Modern Uses of Multiple-Valued Logic, (1977) 5-37.
  • K. Mohana, M. Mohanasundari, Quadripartitioned Single Valued Neutrosophic Rough Sets, Nirmala Annual Research Congress (NARC-2018), ISBN-978-93-5321-859-1, 3 (2018) p. 165.
  • R. Chatterjee, P. Majumdar, S. K. Samanta, On Some Similarity Measures and Entropy on Quadripartitioned Single-Valued Neutrosophic Sets, Journal of Intelligent and Fuzzy Systems 30 (2016) 2475-2485.
Yıl 2020, Sayı: 30, 86 - 99, 26.03.2020

Öz

Kaynakça

  • L. Zadeh, Fuzzy Sets, Information and Control 8(3) (1965) 87-96.
  • K. Atanasov, Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems 20 (1986) 87-96.
  • F. Smarandache, Neutrosophy, Neutrosophic Probability, Set, and Logic, ProQuest Information & Learning, Ann Arbor, Michigan, USA, (1998) p 105.
  • F. Smarandache, A Unifying Field in Logics, Neutrosophy: Neutrosophic Probability, Set and Logic, American Research Press, (1999) Rehoboth.
  • Z. Pawlak, Rough Sets, International Journal of Computer and Information Sciences 11(5) (1982) 341-356.
  • S. Broumi, F. Smarandache, Rough Neutrosophic Sets. Italian Journal of Pure and Applied Mathematics 32 (2014) 493-502. [7] F. Smarandache, n-Valued Refined Neutrosophic Logic and Its Applications in Physics, Progress in Physics, 4 (2013) 143-146.
  • H. Wang, F. Smarandache, Y. Q. Zhang, R. Sunderraman, Single Valued Neutrosophic Sets, Multispace Multistruct 4 (2010) 410-413.
  • S Broumi, A. Dey, M. Talea, A. Bakali, F. Smarandache, D. Nagarajan, M. Lathamaheswari, R. Kumar, Shortest Path Problem using Bellman Algorithm under Neutrosophic Environment, Complex and Intelligent Systems, (2019) 1-8.
  • S. Broumi, M. Talea, A. Bakali, F. Smarandache, D. Nagarajan, M. Lathamaheswari, M. Parimala, Shortest Path Problem in Fuzzy, Intuitionistic Fuzzy and Neutrosophic Environment: An Overview, Complex and Intelligent Systems 5 (2019) 371–378.
  • S. Broumi, D. Nagarajan, A. Bakali, M. Talea, F. Smarandache, M. Lathamaheswari, The Shortest Path Problem in Interval Valued Trapezoidal and Triangular Neutrosophic Environment, Complex and Intelligent Systems 5 (2019) 391–402.
  • H. L. Yang, A Hybrid Model of Single-Valued Neutrosophic Sets and Rough Sets: Single-Valued Neutrosophic Rough Set Model, Soft Computing 21 (2017) 6253-6267.
  • N. D. Belnap, A Useful Four-Valued Logic, Modern Uses of Multiple-Valued Logic, (1977) 5-37.
  • K. Mohana, M. Mohanasundari, Quadripartitioned Single Valued Neutrosophic Rough Sets, Nirmala Annual Research Congress (NARC-2018), ISBN-978-93-5321-859-1, 3 (2018) p. 165.
  • R. Chatterjee, P. Majumdar, S. K. Samanta, On Some Similarity Measures and Entropy on Quadripartitioned Single-Valued Neutrosophic Sets, Journal of Intelligent and Fuzzy Systems 30 (2016) 2475-2485.
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Uygulamalı Matematik
Bölüm Araştırma Makalesi
Yazarlar

Mohanasundari Mohan

Mohana Krishnaswamy

Yayımlanma Tarihi 26 Mart 2020
Gönderilme Tarihi 27 Haziran 2019
Yayımlandığı Sayı Yıl 2020 Sayı: 30

Kaynak Göster

APA Mohan, M., & Krishnaswamy, M. (2020). Axiomatic Characterizations of Quadripartitioned Single Valued Neutrosophic Rough Sets. Journal of New Theory(30), 86-99.
AMA Mohan M, Krishnaswamy M. Axiomatic Characterizations of Quadripartitioned Single Valued Neutrosophic Rough Sets. JNT. Mart 2020;(30):86-99.
Chicago Mohan, Mohanasundari, ve Mohana Krishnaswamy. “Axiomatic Characterizations of Quadripartitioned Single Valued Neutrosophic Rough Sets”. Journal of New Theory, sy. 30 (Mart 2020): 86-99.
EndNote Mohan M, Krishnaswamy M (01 Mart 2020) Axiomatic Characterizations of Quadripartitioned Single Valued Neutrosophic Rough Sets. Journal of New Theory 30 86–99.
IEEE M. Mohan ve M. Krishnaswamy, “Axiomatic Characterizations of Quadripartitioned Single Valued Neutrosophic Rough Sets”, JNT, sy. 30, ss. 86–99, Mart 2020.
ISNAD Mohan, Mohanasundari - Krishnaswamy, Mohana. “Axiomatic Characterizations of Quadripartitioned Single Valued Neutrosophic Rough Sets”. Journal of New Theory 30 (Mart 2020), 86-99.
JAMA Mohan M, Krishnaswamy M. Axiomatic Characterizations of Quadripartitioned Single Valued Neutrosophic Rough Sets. JNT. 2020;:86–99.
MLA Mohan, Mohanasundari ve Mohana Krishnaswamy. “Axiomatic Characterizations of Quadripartitioned Single Valued Neutrosophic Rough Sets”. Journal of New Theory, sy. 30, 2020, ss. 86-99.
Vancouver Mohan M, Krishnaswamy M. Axiomatic Characterizations of Quadripartitioned Single Valued Neutrosophic Rough Sets. JNT. 2020(30):86-99.


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