Skip to main content
Top
Published in: International Journal of Machine Learning and Cybernetics 3/2020

24-10-2019 | Original Article

Three-way decision based on decision-theoretic rough sets with single-valued neutrosophic information

Authors: Li Jiao, Hai-Long Yang, Sheng-Gang Li

Published in: International Journal of Machine Learning and Cybernetics | Issue 3/2020

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this paper, we propose two new three-way decision models based on decision-theoretic rough sets with single-valued neutrosophic information. These two models adopt different ranking methods, one of which is the ranking method based on cosine similarity measure. The other is the ranking method based on Euclidean distance. The key steps of the proposed models were shown by an algorithm and we present the breakfast shop siting problem to demonstrate the rationality and practicability of the proposed models. Finally, we make comparison analysis between the two models, and compare our models with other existing related models.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Show more products
Literature
1.
go back to reference Abdel-Basset M, Manogaran G, Mohamed M, Chilamkurti N (2018) Three-way decisions based on neutrosophic sets and AHP-QFD framework for supplier selection problem. Future Gen Comput Syst 89:19–30CrossRef Abdel-Basset M, Manogaran G, Mohamed M, Chilamkurti N (2018) Three-way decisions based on neutrosophic sets and AHP-QFD framework for supplier selection problem. Future Gen Comput Syst 89:19–30CrossRef
2.
3.
go back to reference Hao L, Feng Y, Mi JS (2017) Three-way decisions for composed set-valued decision tables. J Intell Fuzzy Syst 33:937–946CrossRef Hao L, Feng Y, Mi JS (2017) Three-way decisions for composed set-valued decision tables. J Intell Fuzzy Syst 33:937–946CrossRef
5.
go back to reference Hu BQ, Wong H, Yiu KC (2017) On two novel types of three-way decisions in three-way decision spaces. Int J Approx Reason 82:285–306MathSciNetCrossRef Hu BQ, Wong H, Yiu KC (2017) On two novel types of three-way decisions in three-way decision spaces. Int J Approx Reason 82:285–306MathSciNetCrossRef
6.
go back to reference Huang CC, Li JH, Mei CL (2017) Three-way concept learning based on cognitive operators: an information fusion viewpoint. Int J Approx Reason 83:218–242MathSciNetCrossRef Huang CC, Li JH, Mei CL (2017) Three-way concept learning based on cognitive operators: an information fusion viewpoint. Int J Approx Reason 83:218–242MathSciNetCrossRef
7.
8.
go back to reference Jiang CM, Yao YY (2018) Effectiveness measures in movement-based three-way decisions. Knowl Based Syst 160(15):136–143CrossRef Jiang CM, Yao YY (2018) Effectiveness measures in movement-based three-way decisions. Knowl Based Syst 160(15):136–143CrossRef
9.
go back to reference Lang GM, Miao DQ, Cai MJ (2017) Three-way decision approaches to conflict analysis using decision-theoretic rough set theory. Inf Sci 406:185–207CrossRef Lang GM, Miao DQ, Cai MJ (2017) Three-way decision approaches to conflict analysis using decision-theoretic rough set theory. Inf Sci 406:185–207CrossRef
10.
go back to reference Li JH, Huang CC, Qi JJ, Qian YH, Liu WQ (2017) Three-way cognitive concept learning via multi-granularity. Inf Sci 378:244–263CrossRef Li JH, Huang CC, Qi JJ, Qian YH, Liu WQ (2017) Three-way cognitive concept learning via multi-granularity. Inf Sci 378:244–263CrossRef
11.
go back to reference Liang DC, Liu D (2014) Systematic studies on three-way decisions with interval-valued decision-theoretic rough sets. Inf Sci 276:186–203CrossRef Liang DC, Liu D (2014) Systematic studies on three-way decisions with interval-valued decision-theoretic rough sets. Inf Sci 276:186–203CrossRef
12.
go back to reference Liang DC, Liu D (2015) Deriving three-way decisions from intuitionistic fuzzy decision-theoretic rough sets. Inf Sci 300:28–48MathSciNetCrossRef Liang DC, Liu D (2015) Deriving three-way decisions from intuitionistic fuzzy decision-theoretic rough sets. Inf Sci 300:28–48MathSciNetCrossRef
13.
go back to reference Liang DC, Xu ZS, Liu D (2017) Three-way decisions based on decision-theoretic rough sets with dual hesitant fuzzy infromation. Inf Sci 396:127–143CrossRef Liang DC, Xu ZS, Liu D (2017) Three-way decisions based on decision-theoretic rough sets with dual hesitant fuzzy infromation. Inf Sci 396:127–143CrossRef
14.
go back to reference Liu D, Liang DC (2017) Three-way decisions in ordered decision system. Knowl Based Syst 137:182–195CrossRef Liu D, Liang DC (2017) Three-way decisions in ordered decision system. Knowl Based Syst 137:182–195CrossRef
15.
go back to reference Luo C, Li TR, Huang YY, Fujita H (2019) Updating three-way decision in incomplete multi-scale information systems. Inf Sci 476:274–289CrossRef Luo C, Li TR, Huang YY, Fujita H (2019) Updating three-way decision in incomplete multi-scale information systems. Inf Sci 476:274–289CrossRef
16.
18.
go back to reference Peng JJ, Wang JQ, Zhang HY, Chen XH (2014) An outranking approach for multi-criteria decision-making problems with simplified neutrosophic sets. Appl Soft Comput 25:336–346CrossRef Peng JJ, Wang JQ, Zhang HY, Chen XH (2014) An outranking approach for multi-criteria decision-making problems with simplified neutrosophic sets. Appl Soft Comput 25:336–346CrossRef
19.
go back to reference Qian J, Liu CH, Xu XD (2019) Multigranulation sequential three-way decisions based on multiple thresholds. Int J Approx Reason 105:396–416MathSciNetCrossRef Qian J, Liu CH, Xu XD (2019) Multigranulation sequential three-way decisions based on multiple thresholds. Int J Approx Reason 105:396–416MathSciNetCrossRef
20.
go back to reference Smarandache F (1998) Neutrosophy. Neutrosophic probability, set and logic. American Research Press, RehobothMATH Smarandache F (1998) Neutrosophy. Neutrosophic probability, set and logic. American Research Press, RehobothMATH
21.
go back to reference Smarandache F, Vladareanu L (2011) Applications of neutrosophic logic to robotics: an introduction. In: 2011 IEEE international conference on granular computing, pp 607–612 Smarandache F, Vladareanu L (2011) Applications of neutrosophic logic to robotics: an introduction. In: 2011 IEEE international conference on granular computing, pp 607–612
22.
go back to reference Singh PK (2018) Three-way n-valued neutrosophic concept lattice at different granulation. Int J Mach Learn Cybern 9(11):1839–1855CrossRef Singh PK (2018) Three-way n-valued neutrosophic concept lattice at different granulation. Int J Mach Learn Cybern 9(11):1839–1855CrossRef
23.
go back to reference Singh PK (2017) Three-way fuzzy concept lattice representation using neutrosophic set. Int J Mach Learn Cybern 8(1):69–79CrossRef Singh PK (2017) Three-way fuzzy concept lattice representation using neutrosophic set. Int J Mach Learn Cybern 8(1):69–79CrossRef
24.
go back to reference Wang PX, Yao YY (2018) CE3: a three-way clustering method based on mathematical morphology. Knowl Based Syst 155:54–65CrossRef Wang PX, Yao YY (2018) CE3: a three-way clustering method based on mathematical morphology. Knowl Based Syst 155:54–65CrossRef
25.
go back to reference Wang H, Smarandache F, Zhang YQ, Sunderraman R (2010) Single-valued neutrosophic sets. Multisp Multistruct 4:410–413MATH Wang H, Smarandache F, Zhang YQ, Sunderraman R (2010) Single-valued neutrosophic sets. Multisp Multistruct 4:410–413MATH
27.
go back to reference Yao YY (2012) An outline of a theory of three-way decisions. In: Rough sets and current trends in computing-8th international conference, RSCTC 2012, Chengdu, China, August 17–20, LNCS(LNAI), vol 7413, pp 1–17 Yao YY (2012) An outline of a theory of three-way decisions. In: Rough sets and current trends in computing-8th international conference, RSCTC 2012, Chengdu, China, August 17–20, LNCS(LNAI), vol 7413, pp 1–17
28.
go back to reference Yao YY (2018) Three-way decision and granular computing. Int J Approx Reason 103:107–123CrossRef Yao YY (2018) Three-way decision and granular computing. Int J Approx Reason 103:107–123CrossRef
29.
go back to reference Ye J (2013) Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment. Int J Gen Syst 42:386–394MathSciNetCrossRef Ye J (2013) Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment. Int J Gen Syst 42:386–394MathSciNetCrossRef
30.
go back to reference Ye J (2013) Another form of correlation coefficient under single-valued neutrosophic sets and its multiple attribute decision-making method. Neutrosophic Sets Syst 1:8–12 Ye J (2013) Another form of correlation coefficient under single-valued neutrosophic sets and its multiple attribute decision-making method. Neutrosophic Sets Syst 1:8–12
32.
go back to reference Zhang QH, Xia DY, Liu KX, Wang GY (2020) A general model of decision-theoretic three-way approximations of fuzzy sets based on a heuristic algorithm. Inf Sci 507:522–539CrossRef Zhang QH, Xia DY, Liu KX, Wang GY (2020) A general model of decision-theoretic three-way approximations of fuzzy sets based on a heuristic algorithm. Inf Sci 507:522–539CrossRef
33.
go back to reference Zhang XH, Bo CX, Smarandache F, Dai JH (2018) New inclusion relation of neutrosophic sets with applications and related lattice structure. Int J Mach Learn Cybern 9(10):1753–1763CrossRef Zhang XH, Bo CX, Smarandache F, Dai JH (2018) New inclusion relation of neutrosophic sets with applications and related lattice structure. Int J Mach Learn Cybern 9(10):1753–1763CrossRef
34.
35.
go back to reference Zhao XR, Hu BQ (2020) Three-way decisions with decision-theoretic rough sets in multiset-valued information tables. Inf Sci 507:684–699MathSciNetCrossRef Zhao XR, Hu BQ (2020) Three-way decisions with decision-theoretic rough sets in multiset-valued information tables. Inf Sci 507:684–699MathSciNetCrossRef
Metadata
Title
Three-way decision based on decision-theoretic rough sets with single-valued neutrosophic information
Authors
Li Jiao
Hai-Long Yang
Sheng-Gang Li
Publication date
24-10-2019
Publisher
Springer Berlin Heidelberg
Published in
International Journal of Machine Learning and Cybernetics / Issue 3/2020
Print ISSN: 1868-8071
Electronic ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-019-01023-3

Other articles of this Issue 3/2020

International Journal of Machine Learning and Cybernetics 3/2020 Go to the issue