An approach to Q-neutrosophic soft rings

Majdoleen Abu Qamar; Abd Ghafur Ahmad; Nasruddin Hassan; Majdoleen Abu Qamar; Abd Ghafur Ahmad; Nasruddin Hassan

doi:10.3934/math.2019.4.1291

AIMS Mathematics

2019, Volume 4, Issue 4: 1291-1306. doi: 10.3934/math.2019.4.1291

Previous Article Next Article

Research article

An approach to Q-neutrosophic soft rings

School of Mathematical Sciences, Faculty of Science and Technology, Universiti KebangsaanMalaysia, 43600 UKM Bangi, Selangor DE, Malaysia

Received: 13 June 2019 Accepted: 08 August 2019 Published: 02 September 2019
MSC : 03G25, 08A72

In this paper, we introduce the notion of Q-neutrosophic soft rings and discuss some of its related properties. Next, we discuss the cartesian product of Q-neutrosophic soft rings and homomorphic images and preimages of Q-neutrosophic soft rings. Moreover, Q-neutrosophic soft ideals are defined and some of their related properties are explored.
- neutrosophic soft ring,
- neutrosophic soft set,
- Q-neutrosophic soft ring,
- Q-neutrosophic soft set
Citation: Majdoleen Abu Qamar, Abd Ghafur Ahmad, Nasruddin Hassan. An approach to Q-neutrosophic soft rings[J]. AIMS Mathematics, 2019, 4(4): 1291-1306. doi: 10.3934/math.2019.4.1291

Related Papers:

Abstract

In this paper, we introduce the notion of Q-neutrosophic soft rings and discuss some of its related properties. Next, we discuss the cartesian product of Q-neutrosophic soft rings and homomorphic images and preimages of Q-neutrosophic soft rings. Moreover, Q-neutrosophic soft ideals are defined and some of their related properties are explored.

References

[1]	M. Abu Qamar, N. Hassan, An approach toward a Q-neutrosophic soft set and its application in decision making, Symmetry, 11 (2019), 139.
[2]	M. Abu Qamar, N. Hassan, Entropy, measures of distance and similarity of Q-neutrosophic soft sets and some applications, Entropy, 20 (2018), 672.
[3]	M. Abu Qamar, N. Hassan, Generalized Q-neutrosophic soft expert set for decision under uncertainty, Symmetry, 10 (2018), 621.
[4]	M. Abu Qamar, N. Hassan, On Q-neutrosophic subring, Journal of Physics: Conference Series, 1212 (2019), 012018.
[5]	M. Abu Qamar, N. Hassan, Q-neutrosophic soft relation and its application in decision making, Entropy, 20 (2018), 172.
[6]	U. Acar, F. Koyuncu, B. Tanay, Soft sets and soft rings, Comput. Math. Appl., 59 (2010), 3458-3463. doi: 10.1016/j.camwa.2010.03.034
[7]	F. Adam, N. Hassan, Properties on the multi Q-fuzzy soft matrix, AIP Conference Proceedings, 1614 (2014), 834-839.
[8]	A. Al-Masarwah, A. G. Ahmad, Doubt bipolar fuzzy subalgebras and ideals in BCK/BCI-algebras, J. Math. Anal., 9 (2018), 9-27.
[9]	A. Al-Masarwah, A. G. Ahmad, m-polar fuzzy ideals of BCK/BCI-algebras, J. King Saud University-Science, 2018.
[10]	A. Al-Masarwah, A. G. Ahmad, Novel concepts of doubt bipolar fuzzy H-ideals of BCK/BCI-algebras, Int. J. Innov. Comput. I., 14 (2018), 2025-2041.
[11]	A. Al-Masarwah, A. G. Ahmad, On (complete) normality of m-pF subalgebras in BCK/BCI-algebras, AIMS Mathematics, 4 (2019), 740-750. doi: 10.3934/math.2019.3.740
[12]	A. Al-Masarwah, A. G. Ahmad, On some properties of doubt bipolar fuzzy H-ideals in BCK/BCI-algebras,. Eur. J. Pure Appl. Math., 11 (2018), 652-670. doi: 10.29020/nybg.ejpam.v11i3.3288
[13]	Y. L. Bao, H. L. Yang, On single valued neutrosophic refined rough set model and its application, J. Intell. Fuzzy Syst., 33 (2017), 1235-1248. doi: 10.3233/JIFS-17094
[14]	T. Bera, N. K. Mahapatra, On neutrosophic soft rings, OPSEARCH, 54 (2017), 143-167. doi: 10.1007/s12597-016-0273-6
[15]	S. Broumi, A. Dey, M. Talea, et al. Shortest path problem using Bellman algorithm under neutrosophic environment, Complex & Intelligent Systems, (2019), 1-8.
[16]	S. Broumi, D. Nagarajan, A. Bakali, et al. The shortest path problem in interval valued trapezoidal and triangular neutrosophic environment, Complex & Intelligent Systems, (2019), 1-12.
[17]	S. Broumi, M. Talea, A. Bakali, et al. Shortest path problem in fuzzy, intuitionistic fuzzy and neutrosophic environment: an overview, Complex & Intelligent Systems, (2019), 1-8.
[18]	V. Ҫetkin, H. Aygün, An approach to neutrosophic subgroup and its fundamental properties, J. Intell. Fuzzy Syst., 29 (2015), 1941-1947. doi: 10.3233/IFS-151672
[19]	F. Feng, Y. B. Jun, X. Zhao, Soft semirings, Comput. Math. Appl., 56 (2008), 2621-2628. doi: 10.1016/j.camwa.2008.05.011
[20]	J. Ghosh, B. Dinda, T. K. Samanta, Fuzzy soft rings and fuzzy soft ideals, Int. J. Pure Appl. Sci. Technol., 2 (2011), 66-74.
[21]	Z. L. Guo, Y. L. Liu, H. L. Yang, A novel rough set model in generalized single valued neutrosophic approximation spaces and its application, Symmetry, 9 (2017), 119.
[22]	F. Karaaslan, Neutrosophic soft sets with applications in decision making, International Journal of Information Science and Intelligent System, 4 (2015), 1-20.
[23]	F. Karaaslan, Possibility neutrosophic soft sets and PNS-decision making method, Appl. Soft Comput., 54 (2017), 403-414. doi: 10.1016/j.asoc.2016.07.013
[24]	F. Karaaslan, Some properties of AG-groupoids and AG-bands under SI-product operation*, J. Intell. Fuzzy Syst., 36 (2019), 231-239. doi: 10.3233/JIFS-181208
[25]	F. Karaaslan, K. Kaygısıza, N. Cagman, On intuitionistic fuzzy soft groups, Journal of New Results in Sciences, 2 (2013), 72-86.
[26]	Y. L. Liu, H. L. Yang, Further research of single valued neutrosophic rough sets, J. Intell. Fuzzy Syst., 33 (2017), 1467-1478. doi: 10.3233/JIFS-17401
[27]	P. K. Maji, Neutrosophic soft set, Annals of Fuzzy Mathematics and Informatics, 5 (2013), 157-168.
[28]	D. Molodtsov, Soft set theory-first results, Comput. Math. Appl., 37 (1999), 19-31.
[29]	R. Rasuli, Characterization of Q-fuzzy subrings (Anti Q-fuzzy subrings) with respect to a T-norm (T-conorm), Journal of Information and Optimization Sciences, 39 (2018), 827-837. doi: 10.1080/02522667.2016.1228316
[30]	A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl., 35 (1971), 512-517. doi: 10.1016/0022-247X(71)90199-5
[31]	F. Smarandache, Neutrosophy. Neutrosophic Probability, Set and Logic, American Research Press: Rehoboth, IL, USA, 1998.
[32]	F. Smarandache, Neutrosophic set, a generalisation of the intuitionistic fuzzy sets, Int. J. Pure Appl. Math., 24 (2005), 287-297.
[33]	F. Smarandache, n-valued refined neutrosophic logic and its applications to physics, Progress in Physics, 4 (2013), 143-146.
[34]	A. Solairaju, R. Nagarajan, A new structure and construction of Q-fuzzy groups, Advances in Fuzzy Mathematics, 4 (2009), 23-29.
[35]	S. Thiruveni, A. Solairaju, Neutrosophic Q-fuzzy subgroups, Int. J. Math. And Appl., 6 (2018), 859-866.
[36]	A. Ullah, I. Ahmad, F. Hayat, et al. Soft intersection Abel-Grassmann's groups, Journal of Hyperctructures, 7 (2018), 149-173.
[37]	A. Ullah, F. Karaaslan, I. Ahmad, Soft uni-Abel-Grassmann's groups, Eur. J. Pure Appl. Math., 11 (2018), 517-536. doi: 10.29020/nybg.ejpam.v11i2.3228
[38]	H. L. Yang, Z. L . Guo, Y. She, et al. On single valued neutrosophic relations, J. Intell. Fuzzy Syst., 30 (2016), 1045-1056. doi: 10.3233/IFS-151827
[39]	H. L. Yang , Y. L. Bao, Z. L. Guo, Generalized interval neutrosophic rough Sets and its application in multi-attribute decision making, Filomat, 32 (2018), 11-33. doi: 10.2298/FIL1801011Y
[40]	H. L. Yang, C. L. Zhang, Z. L. Guo, et al. A hybrid model of single valued neutrosophic sets and rough sets: single valued neutrosophic rough set model, Soft Computing, 21 (2017), 6253-6267. doi: 10.1007/s00500-016-2356-y
[41]	L. A. Zadeh, Fuzzy sets, Information and control, 8 (1965), 338-353. doi: 10.1016/S0019-9958(65)90241-X

Reader Comments

Your name:*

Email:*
© 2019 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)