Research Article
BibTex RIS Cite

Axiomatic Characterizations of Quadripartitioned Single Valued Neutrosophic Rough Sets

Year 2020, Issue: 30, 86 - 99, 26.03.2020

Abstract

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.

References

  • 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.
Year 2020, Issue: 30, 86 - 99, 26.03.2020

Abstract

References

  • 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.
There are 14 citations in total.

Details

Primary Language English
Subjects Applied Mathematics
Journal Section Research Article
Authors

Mohanasundari Mohan This is me

Mohana Krishnaswamy This is me

Publication Date March 26, 2020
Submission Date June 27, 2019
Published in Issue Year 2020 Issue: 30

Cite

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. March 2020;(30):86-99.
Chicago Mohan, Mohanasundari, and Mohana Krishnaswamy. “Axiomatic Characterizations of Quadripartitioned Single Valued Neutrosophic Rough Sets”. Journal of New Theory, no. 30 (March 2020): 86-99.
EndNote Mohan M, Krishnaswamy M (March 1, 2020) Axiomatic Characterizations of Quadripartitioned Single Valued Neutrosophic Rough Sets. Journal of New Theory 30 86–99.
IEEE M. Mohan and M. Krishnaswamy, “Axiomatic Characterizations of Quadripartitioned Single Valued Neutrosophic Rough Sets”, JNT, no. 30, pp. 86–99, March 2020.
ISNAD Mohan, Mohanasundari - Krishnaswamy, Mohana. “Axiomatic Characterizations of Quadripartitioned Single Valued Neutrosophic Rough Sets”. Journal of New Theory 30 (March 2020), 86-99.
JAMA Mohan M, Krishnaswamy M. Axiomatic Characterizations of Quadripartitioned Single Valued Neutrosophic Rough Sets. JNT. 2020;:86–99.
MLA Mohan, Mohanasundari and Mohana Krishnaswamy. “Axiomatic Characterizations of Quadripartitioned Single Valued Neutrosophic Rough Sets”. Journal of New Theory, no. 30, 2020, pp. 86-99.
Vancouver Mohan M, Krishnaswamy M. Axiomatic Characterizations of Quadripartitioned Single Valued Neutrosophic Rough Sets. JNT. 2020(30):86-99.


TR Dizin 26024

Electronic Journals Library (EZB) 13651



Academindex 28993

SOBİAD 30256                                                   

Scilit 20865                                                  


29324 As of 2021, JNT is licensed under a Creative Commons Attribution-NonCommercial 4.0 International Licence (CC BY-NC).