Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
International Journal of Machine Learning and Cybernetics
Published in: International Journal of Machine Learning and Cybernetics 3/2020

29-10-2019 | Original Article

Three-way decisions in fuzzy incomplete information systems

Authors: Xiaoping Yang, Tongjun Li, Anhui Tan

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

The intuitionistic fuzzy set is introduced to fuzzy incomplete information systems, the membership and non-membership degrees that an object belongs to a concept are constructed based on the similarity relation. By combining the fuzzy rough set and intuitionistic fuzzy set, we make three-way decisions. Various situations in fuzzy incomplete information systems are discussed.
previous article Three-way decision based on decision-theoretic rough sets with single-valued neutrosophic information
next article An efficient clustering algorithm based on the k-nearest neighbors with an indexing ratio

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!

inform now

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!

inform now

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!

inform now
Show more products
Literature
1.
Atanassov K (1986) Intuitionistic fuzzy sets. Fuzzy Set Syst 20:87–96MATH
2.
Azam N, Yao JT (2012) Multiple criteria decision analysis withgame-theoretic rough sets. In: Li T, Nguyen HS, Wang G,Grzymala-Busse JW, Janicki R, Hassanien AE, Yu H (eds) RSKT 2012.LNCS(LNAI), vol. 7414. Springer, Heidelberg, pp 399–408
3.
4.
Cornelis C, Cock MD, Kerre EE (2003) Intuitionistic fuzzy rough sets: at the crossroads of imperfect knowledge. Expert Syst 20:260–270
5.
Dubois D, Prade H (1990) Rough fuzzy sets and fuzzy rough sets. Int J Gen Syst 17(2):191–208MATH
6.
Fan JC, Li Y, Tang LY, Wu GK (2018) RoughPSO: rough set-based particle swarm optimisation. Int J Bio-Inspired Comput 12(4):245–253
7.
Grzymala-Busse JW, Yao YY (2011) Probabilistic rule induction with the LERS data mining system. Int J Intell Syst 26:518–539
8.
He XL, Wei L, She YH (2018) L-fuzzy concept analysis for three-way decisions: basic definitions and fuzzy inference mechanisms. Int J Mach Learn Cybern 9(11):1857–1867
9.
10.
Hu MJ, Yao YY (2019) Structured approximations as a basis for three-way decisions in rough set theory. Int J Approx Reason 165:92–109
11.
12.
Jia F, Liu PD (2019) A novel three-way decision model under multiple-criteria environment. Inf Sci 471:29–51MathSciNet
13.
Jia XY, Li WW, Shang L (2019) A multiphase cost-sensitive learning method based on the multiclass three-way decision-theoretic rough set model. Inf Sci 485:248–262
14.
Jia XY, Zhang K, Shang L (2012) Three-way decisions solution tofilter spam email: an empirical study. In: Yao JT, Yang Y, Slowinski R, Greco S, Li H, Mitra S, Polkowski L (eds) RSCTC 2012.LNCS(LNAI), vol 7413. Springer, Heidelberg, pp 287–296
15.
Jiang C, Yao Y (2018) Effectiveness measures in movement-based three-way decisions. Knowl Based Syst 160:136–143
16.
17.
18.
Leung Y, Li D (2003) Maximal consistent block technique for rule acqusitioin in incomplete information systems. Inf Sci 153:85–106MATH
19.
Leung Y, Wu WZ, Zhang WX (2006) Knowledge acquisition in incomplete information systems: a rough set approach. Eur J Oper Res 168(1):164–180MathSciNetMATH
20.
Li HX, Zhou XZ (2011) Risk decision making based on decision-theoretic rough set: a three-way view decision model. Int J Comput Intell Syst 4:1–11
21.
Li JY, Wang X, Wu WZ, Xu YH (2017) Attribute reduction in inconsistent formal decision contexts based on congruence relations. Int J Mach Learn Cybern 8(1):81–94
22.
Li W, Miao DQ, Wang WL, Zhang N (2010) Hierarchical rough decision theoretic framework for text classification. In: Proceedings of the 9th ieee international conference on cognitive informatics, pp 484–489
23.
Liang DC, Xu ZS, Liu D, Wu Y (2018) Method for three-way decisions using ideal TOPSIS solutions at Pythagorean fuzzy information. Inf Sci 435:282–295MathSciNet
24.
Liu D, Li TR, Li HX (2012) A multiple-category classification approach with decision-theoretic rough sets. Fund Inf 115:173–188MathSciNetMATH
25.
Liu D, Liang DC, Wang C (2016) A novel three-way decision model based on incomplete information system. Knowl Based Syst 91:32–45
26.
Liu D, Liang DC (2017) Three-way decisions in ordered decision system. Knowl Based Syst 137:182–195
27.
Luo C, Li TR, Huang Y, Fujita H (2019) Updating three-way decisions in incomplete multi-scale information systems. Inf Sci 476:274–289
28.
Ma XA, Yao YY (2018) Three-way decision perspectives on class-specific attribute reducts. Inf Sci 450:227–245MathSciNet
29.
Pawlak Z (1982) Rough sets. Int J Comput Inf Sci 11:341–356MATH
30.
Qian J, Liu CH, Yue XD (2019) Multigranulation sequential three-way decisions based on multiple thresholds. Int J Approx Reason 105:396–416MathSciNetMATH
31.
Ren RS, Wei L, Yao YY (2018) An analysis of three types of partially-known formal concepts. Int J Mach Learn Cybern 9(11):1767–1783
32.
Radziknowska AM (2006) Rough approximation operations based on IFsets. In: Rutkkowski L, Tadeusiewicz R, Zadeh LA, Aurada JM (eds)ICAISC 2006, LNCS(LNAI), vol 4029. Springer,Heidelberg, pp 528–537
33.
Wang R, Wang XZ, Kwong S, Xu C (2017) Incorporating diversity and informativeness in multiple-instance active learning. IEEE Trans Fuzzy Syst 25(6):1460–1475
34.
Wang XZ, Wang R, Xu C (2018) Discovering the relationship between generalization and uncertainty by incorporating complexity of classification. IEEE Trans Cybern 48(2):703–715MathSciNet
35.
Wang XZ, Xing HJ, Li Y, Hua Q, Dong CR, Pedrycz W (2015) A study on relationship between generalization abilities and fuzziness of base classifiers in ensemble learning. IEEE Trans Fuzzy Syst 23(5):1638–1654
36.
Wang XZ, Zhang T, Wang R (2019) Noniterative deep learning: incorporating restricted boltzmann machine into multilayer random weight neural networks. IEEE Trans Syst Man Cybern Syst 49(7):1299–1308
37.
Wong SKM, Ziarko W (1985) A probabilistic model of approximate classification and decision rules with uncertainty in inductive learning, Technical report CS-85-23. University of Regina, Department of Computer Science
38.
Wong SKM, Ziarko W (1987) Comparison of the probabilistic approximate classification and the fuzzy set model. Fuzzy Set Syst 21:357–362MathSciNetMATH
39.
40.
Wu WZ, Zhang WX, Li HZ (2003) Knowledge acquisition in incomplete fuzzy information systems via rough set approach. Expert Syst 20(5):280–286
41.
Wu WZ, Zhang WX (2004) Constructive and axiomatic approaches of fuzzy approximation operators. Inf Sci 159(3–4):233–254MathSciNetMATH
42.
Yang X, Li TR, Fujita H, Liu D (2019) A sequential three-way approach to multi-class decision. Int J Approx Reason 104:108–125MathSciNetMATH
43.
Yang XP, Yao JT (2012) Modelling multi-agent three-way decisions with decision-theoretic rough sets. Fund Inf 115:157–171MathSciNetMATH
44.
Yang XP, Lu ZJ, Li TJ (2013) Decision-theoretic rough sets in incomplete information system. Fund Inf 126:353–375MathSciNet
45.
Yang XP, Tan AH (2017) Three-way decisions based on intuitionisticfuzzy sets. In: Polkowski L, Yao Y, Artiemjew P, Ciucci D, Liu D, Slezak D, Zielosko B (eds) IJCRS 2017, LNCS(LNAI), vol. 10314, pp.290–299. Springer, Heideberg
46.
Yao YY, Wong SKM (1992) A decision theoretic framework for approximating concepts. Int J Man Mach Stud 37(6):793–809
47.
Yao YY (2007) Decision-theoretic rough set models. In: Yao J, Lingras P, Wu WZ, Szczuka M, Cercone NJ, Slezak D (eds) RSKT 2007, LNCS(LNAI), vol 4481. Springer, Heidelberg, pp 1–12
48.
Yao YY (2003) Probabilistic approaches to rough sets. Expert Syst 20(5):287–297
49.
Yao YY (2008) Probabilistic rough set approximations. Int J Approx Reason 49:255–271MATH
50.
Yao YY (2009) Three-way decision: an interpretation of rules inrough set theory. In: Wen P, Li Y, Polkowski L, Yao Y, Tsumoto H,Wang G (eds) RSKT 2009, LNCS (LNAI), vol 5589. Springer, Heidelberg, pp 642–649
51.
Yao YY (2010) Three-way decisions with probabilistic rough sets. Inf Sci 180:341–353MathSciNet
52.
Yao YY (2011) The superiority of three-way decisions in probabilistic rough set models. Inf Sci 181:1080–1096MathSciNetMATH
53.
Yao YY (2012) An outline of a theory of three-way decisions. In: Yao JT, Yang Y, Slowinski R, Greco S, Li H, Mitra S, Polkowski L (eds) RSCTC 2012, LNCS (LNAI), vol 7413. Springer,Heidelberg, pp 287–296
54.
Yao YY (2018) Three-way decision and granular computing. Int J Approx Reason 103:107–123MATH
55.
Yu H, Chu SS, Yang DC (2012) Autonomous knowledge-oriented clustering using decision-theoretic rough set theory. Fund Inf 115:141–156MathSciNetMATH
56.
57.
Zhang QH, Lv QX, Chen YH, Wang GY (2018) A dynamic three-way decision model based on the updating of attribute values. Knowl Based Syst 142:71–84
58.
Zhang WX, Leung Y, Wu WZ (2003) Information system and knowledge discovery. Science Press, Beijing
59.
Zhou JH, Zhang Y, Zhu HY (2017) Three-way decisions model based on tolerance rough fuzzy set. Int J Mach Learn Cybern 8(1):35–43
60.
Zhou L, Wu WZ (2008) On generalized intuitionistic fuzzy rough approximation operators. Inf Sci 178:2448–2465MathSciNetMATH
61.
62.
Metadata
Title
Three-way decisions in fuzzy incomplete information systems
Authors
Xiaoping Yang
Tongjun Li
Anhui Tan
Publication date
29-10-2019
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/s13042-019-01025-1

Other articles of this Issue 3/2020

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

Original Article

Bibliometric analysis of support vector machines research trend: a case study in China

Original Article

An efficient clustering algorithm based on the k-nearest neighbors with an indexing ratio

Original Article

Multi-view local linear KNN classification: theoretical and experimental studies on image classification

Original Article

Feature selection based on rough set approach, wrapper approach, and binary whale optimization algorithm

Original Article

Granular matrix-based knowledge reductions of formal fuzzy contexts

Original Article

Multiple instance learning for sequence data with across bag dependencies