Skip to main content
Erschienen in: Granular Computing 4/2020

10.05.2019 | Original Paper

A three-way decision method in a fuzzy condition decision information system and its application in credit card evaluation

verfasst von: Zhaowen Li, Dan Huang

Erschienen in: Granular Computing | Ausgabe 4/2020

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

An information system as a database that represents relationships between objects and attributes is an important mathematical model in the field of artificial intelligence. A fuzzy condition decision information system(fc-decision information system) is a decision information system where each condition attribute is fuzzy. This paper proposes a three-way decision method in a fc-decision information system and gives its application in credit card evaluation. Gaussian kernel based on fuzzy Euclid distance between fuzzy sets is first acquired. Then the fuzzy \(T{\cos }\)-equivalence relation, induced by a given fc-decision information system, is obtained using Gaussian kernel. Next, based on approximately equal relation (ae-relation) between fuzzy sets, decision-theoretic rough set model in this fc-decision information system is presented. Moreover, a three-way decision method based on this decision-theoretic rough set model is proposed by means of probability measures of sets. Finally, an example of credit card evaluation is employed to illustrate the feasibility of the proposed method.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

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!

Literatur
Zurück zum Zitat Abbas AR, Juan L (2009) Supporting e-learning system with modified Bayesian rough set model. In: International symposium on neural networks. Springer, pp 192–200 Abbas AR, Juan L (2009) Supporting e-learning system with modified Bayesian rough set model. In: International symposium on neural networks. Springer, pp 192–200
Zurück zum Zitat Agbodah K (2018) The determination of three-way decisions with decision-theoretic rough sets considering the loss function evaluated by multiple experts. Granul Comput 4:1–13 Agbodah K (2018) The determination of three-way decisions with decision-theoretic rough sets considering the loss function evaluated by multiple experts. Granul Comput 4:1–13
Zurück zum Zitat Chen SM, Chang YC (2011) Weighted fuzzy rule interpolation based on ga-based weight-learning techniques. IEEE Trans Fuzzy Syst 19(4):729–744MathSciNet Chen SM, Chang YC (2011) Weighted fuzzy rule interpolation based on ga-based weight-learning techniques. IEEE Trans Fuzzy Syst 19(4):729–744MathSciNet
Zurück zum Zitat Chen SM, Huang CM (2003) Generating weighted fuzzy rules from relational database systems for estimating null values using genetic algorithms. IEEE Trans Fuzzy Syst 11(4):495–506 Chen SM, Huang CM (2003) Generating weighted fuzzy rules from relational database systems for estimating null values using genetic algorithms. IEEE Trans Fuzzy Syst 11(4):495–506
Zurück zum Zitat Chen SM, Tanuwijaya K (2011) Fuzzy forecasting based on high-order fuzzy logical relationships and automatic clustering techniques. Expert Syst Appl 38(12):15425–15437 Chen SM, Tanuwijaya K (2011) Fuzzy forecasting based on high-order fuzzy logical relationships and automatic clustering techniques. Expert Syst Appl 38(12):15425–15437
Zurück zum Zitat Chen SM, Wang JY (1995) Document retrieval using knowledge-based fuzzy information retrieval techniques. IEEE Trans Syst Man Cybern 25(5):793–803 Chen SM, Wang JY (1995) Document retrieval using knowledge-based fuzzy information retrieval techniques. IEEE Trans Syst Man Cybern 25(5):793–803
Zurück zum Zitat Cheng SH, Chen SM, Jian WS (2016) Fuzzy time series forecasting based on fuzzy logical relationships and similarity measures. Inform Sci 327:272–287MathSciNetMATH Cheng SH, Chen SM, Jian WS (2016) Fuzzy time series forecasting based on fuzzy logical relationships and similarity measures. Inform Sci 327:272–287MathSciNetMATH
Zurück zum Zitat Dubois D (2011) The role of fuzzy sets in decision sciences: old techniques and new directions. Fuzzy Sets Syst 184(1):3–28MathSciNetMATH Dubois D (2011) The role of fuzzy sets in decision sciences: old techniques and new directions. Fuzzy Sets Syst 184(1):3–28MathSciNetMATH
Zurück zum Zitat Fan M, He H, Qian Y, Zhu W (2011) Test-cost-sensitive attribute reduction. Inf Sci Int J 181(22):4928–4942 Fan M, He H, Qian Y, Zhu W (2011) Test-cost-sensitive attribute reduction. Inf Sci Int J 181(22):4928–4942
Zurück zum Zitat Goudey R (2007) Do statistical inferences allowing three alternative decisions give better feedback for environmentally precautionary decision-making? J Environ Manag 85(2):338–344 Goudey R (2007) Do statistical inferences allowing three alternative decisions give better feedback for environmentally precautionary decision-making? J Environ Manag 85(2):338–344
Zurück zum Zitat Greco S, Inuiguchi M, Slowinski R (2006) Fuzzy rough sets and multiple-premise gradual decision rules. Int J Approx Reason 41(2):179–211MathSciNetMATH Greco S, Inuiguchi M, Slowinski R (2006) Fuzzy rough sets and multiple-premise gradual decision rules. Int J Approx Reason 41(2):179–211MathSciNetMATH
Zurück zum Zitat Greco S, Matarazzo B, Słowiński R (2008) Parameterized rough set model using rough membership and bayesian confirmation measures. Int J Approx Reason 49(2):285–300MathSciNetMATH Greco S, Matarazzo B, Słowiński R (2008) Parameterized rough set model using rough membership and bayesian confirmation measures. Int J Approx Reason 49(2):285–300MathSciNetMATH
Zurück zum Zitat Hu Q, Xie Z, Yu D (2007) Hybrid attribute reduction based on a novel fuzzy-rough model and information granulation. Pattern Recognit 40(12):3509–3521MATH Hu Q, Xie Z, Yu D (2007) Hybrid attribute reduction based on a novel fuzzy-rough model and information granulation. Pattern Recognit 40(12):3509–3521MATH
Zurück zum Zitat Jensen R, Shen Q (2004) Semantics-preserving dimensionality reduction: rough and fuzzy-rough-based approaches. IEEE Trans Knowl Data Eng 16(12):1457–1471 Jensen R, Shen Q (2004) Semantics-preserving dimensionality reduction: rough and fuzzy-rough-based approaches. IEEE Trans Knowl Data Eng 16(12):1457–1471
Zurück zum Zitat Jia F, Liu P (2019) A novel three-way decision model under multiple-criteria environment. Inf Sci 471:29–51MathSciNet Jia F, Liu P (2019) A novel three-way decision model under multiple-criteria environment. Inf Sci 471:29–51MathSciNet
Zurück zum Zitat Jiang H, Zhan J, Chen D (2018) Covering based variable precision (i, t)-fuzzy rough sets with applications to multi-attribute decision-making. IEEE Trans Fuzzy Syst Jiang H, Zhan J, Chen D (2018) Covering based variable precision (i, t)-fuzzy rough sets with applications to multi-attribute decision-making. IEEE Trans Fuzzy Syst
Zurück zum Zitat Lee LW, Chen SM (2008) Fuzzy risk analysis based on fuzzy numbers with different shapes and different deviations. Expert Syst Appl 34(4):2763–2771 Lee LW, Chen SM (2008) Fuzzy risk analysis based on fuzzy numbers with different shapes and different deviations. Expert Syst Appl 34(4):2763–2771
Zurück zum Zitat Li H, Zhou X (2011) Risk decision making based on decision-theoretic rough set: a three-way view decision model. Int J Comput Intell Syst 4(1):1–11MathSciNet Li H, Zhou X (2011) Risk decision making based on decision-theoretic rough set: a three-way view decision model. Int J Comput Intell Syst 4(1):1–11MathSciNet
Zurück zum Zitat Li Z, Liu X, Zhang G, Xie N, Wang S (2017) A multi-granulation decision-theoretic rough set method for distributed fc-decision information systems: an application in medical diagnosis. Appl Soft Comput 56:233–244 Li Z, Liu X, Zhang G, Xie N, Wang S (2017) A multi-granulation decision-theoretic rough set method for distributed fc-decision information systems: an application in medical diagnosis. Appl Soft Comput 56:233–244
Zurück zum Zitat Liang D, Liu D (2014) Systematic studies on three-way decisions with interval-valued decision-theoretic rough sets. Inf Sci 276:186–203 Liang D, Liu D (2014) Systematic studies on three-way decisions with interval-valued decision-theoretic rough sets. Inf Sci 276:186–203
Zurück zum Zitat Liang D, Liu D (2015a) Deriving three-way decisions from intuitionistic fuzzy decision-theoretic rough sets. Inf Sci 300:28–48MathSciNetMATH Liang D, Liu D (2015a) Deriving three-way decisions from intuitionistic fuzzy decision-theoretic rough sets. Inf Sci 300:28–48MathSciNetMATH
Zurück zum Zitat Liang D, Liu D (2015b) A novel risk decision making based on decision-theoretic rough sets under hesitant fuzzy information. IEEE Trans Fuzzy Syst 23(2):237–247 Liang D, Liu D (2015b) A novel risk decision making based on decision-theoretic rough sets under hesitant fuzzy information. IEEE Trans Fuzzy Syst 23(2):237–247
Zurück zum Zitat Liang D, Liu D, Pedrycz W, Hu P (2013) Triangular fuzzy decision-theoretic rough sets. Int J Approx Reason 54(8):1087–1106MATH Liang D, Liu D, Pedrycz W, Hu P (2013) Triangular fuzzy decision-theoretic rough sets. Int J Approx Reason 54(8):1087–1106MATH
Zurück zum Zitat Liang D, Pedrycz W, Liu D, Hu P (2015) Three-way decisions based on decision-theoretic rough sets under linguistic assessment with the aid of group decision making. Appl Soft Comput 29:256–269 Liang D, Pedrycz W, Liu D, Hu P (2015) Three-way decisions based on decision-theoretic rough sets under linguistic assessment with the aid of group decision making. Appl Soft Comput 29:256–269
Zurück zum Zitat Lin G, Liang J, Qian Y, Li J (2016) A fuzzy multigranulation decision-theoretic approach to multi-source fuzzy information systems. Knowl Based Syst 91:102–113 Lin G, Liang J, Qian Y, Li J (2016) A fuzzy multigranulation decision-theoretic approach to multi-source fuzzy information systems. Knowl Based Syst 91:102–113
Zurück zum Zitat Liu D, Liang D (2017) Three-way decisions in ordered decision system. Knowl Based Syst 137:182–195 Liu D, Liang D (2017) Three-way decisions in ordered decision system. Knowl Based Syst 137:182–195
Zurück zum Zitat Liu D, Yao Y, Li T (2011) Three-way investment decisions with decision-theoretic rough sets. Int J Comput Intell Syst 4(1):66–74 Liu D, Yao Y, Li T (2011) Three-way investment decisions with decision-theoretic rough sets. Int J Comput Intell Syst 4(1):66–74
Zurück zum Zitat Liu D, Li T, Liang D (2012a) Three-way government decision analysis with decision-theoretic rough sets. Int J Uncertain Fuzziness Knowl Based Syst 20(supp01):119–132 Liu D, Li T, Liang D (2012a) Three-way government decision analysis with decision-theoretic rough sets. Int J Uncertain Fuzziness Knowl Based Syst 20(supp01):119–132
Zurück zum Zitat Liu D, Li TR, Li HX (2012b) Interval-valued decision-theoretic rough sets. Comput Sci 39(7): Liu D, Li TR, Li HX (2012b) Interval-valued decision-theoretic rough sets. Comput Sci 39(7):
Zurück zum Zitat Liu D, Li TR, Liang DC (2012c) Fuzzy decision-theoretic rough sets. Comput Sci 39(12):25–29 Liu D, Li TR, Liang DC (2012c) Fuzzy decision-theoretic rough sets. Comput Sci 39(12):25–29
Zurück zum Zitat Liu D, Li T, Liang D (2014) Three-way decisions in stochastic decision-theoretic rough sets. In: Transactions on rough sets XVIII. Springer, pp 110–130 Liu D, Li T, Liang D (2014) Three-way decisions in stochastic decision-theoretic rough sets. In: Transactions on rough sets XVIII. Springer, pp 110–130
Zurück zum Zitat Liu D, Liang D, Wang C (2016) A novel three-way decision model based on incomplete information system. Knowl Based Syst 91:32–45 Liu D, Liang D, Wang C (2016) A novel three-way decision model based on incomplete information system. Knowl Based Syst 91:32–45
Zurück zum Zitat Liu P (2014) Some hamacher aggregation operators based on the interval-valued intuitionistic fuzzy numbers and their application to group decision making. IEEE Trans Fuzzy Syst 22(1):83–97 Liu P (2014) Some hamacher aggregation operators based on the interval-valued intuitionistic fuzzy numbers and their application to group decision making. IEEE Trans Fuzzy Syst 22(1):83–97
Zurück zum Zitat Liu P (2017) Multiple attribute group decision making method based on interval-valued intuitionistic fuzzy power heronian aggregation operators. Comput Ind Eng 108:199–212 Liu P (2017) Multiple attribute group decision making method based on interval-valued intuitionistic fuzzy power heronian aggregation operators. Comput Ind Eng 108:199–212
Zurück zum Zitat Liu P, Wang P (2018) Multiple-attribute decision making based on archimedean bonferroni operators of q-rung orthopair fuzzy numbers. IEEE Trans Fuzzy Syst Liu P, Wang P (2018) Multiple-attribute decision making based on archimedean bonferroni operators of q-rung orthopair fuzzy numbers. IEEE Trans Fuzzy Syst
Zurück zum Zitat Liu P, Zhang X (2018) Approach to multi-attributes decision making with intuitionistic linguistic information based on dempster-shafer evidence theory. IEEE Access 6:52969–52981 Liu P, Zhang X (2018) Approach to multi-attributes decision making with intuitionistic linguistic information based on dempster-shafer evidence theory. IEEE Access 6:52969–52981
Zurück zum Zitat Ma W, Sun B (2012) On relationship between probabilistic rough set and bayesian risk decision over two universes. Int J General Syst 41(3):225–245MathSciNetMATH Ma W, Sun B (2012) On relationship between probabilistic rough set and bayesian risk decision over two universes. Int J General Syst 41(3):225–245MathSciNetMATH
Zurück zum Zitat Maji P (2014) A rough hypercuboid approach for feature selection in approximation spaces. IEEE Trans Knowl Data Eng 26(1):16–29 Maji P (2014) A rough hypercuboid approach for feature selection in approximation spaces. IEEE Trans Knowl Data Eng 26(1):16–29
Zurück zum Zitat Mandal P, Ranadive A (2019) Multi-granulation interval-valued fuzzy probabilistic rough sets and their corresponding three-way decisions based on interval-valued fuzzy preference relations. Granul Comput 4(1):89–108 Mandal P, Ranadive A (2019) Multi-granulation interval-valued fuzzy probabilistic rough sets and their corresponding three-way decisions based on interval-valued fuzzy preference relations. Granul Comput 4(1):89–108
Zurück zum Zitat Moser B (2006) On representing and generating kernels by fuzzy equivalence relations. J Mach Learn Res 7(Dec):2603–2620MathSciNetMATH Moser B (2006) On representing and generating kernels by fuzzy equivalence relations. J Mach Learn Res 7(Dec):2603–2620MathSciNetMATH
Zurück zum Zitat Pawlak Z (1982) Rough sets. Int J Comput Inf Sci 11(5):341–356MATH Pawlak Z (1982) Rough sets. Int J Comput Inf Sci 11(5):341–356MATH
Zurück zum Zitat Pawlak Z (2012) Rough sets: theoretical aspects of reasoning about data. Springer, BerlinMATH Pawlak Z (2012) Rough sets: theoretical aspects of reasoning about data. Springer, BerlinMATH
Zurück zum Zitat Pedrycz A, Hirota K, Pedrycz W, Dong F (2012) Granular representation and granular computing with fuzzy sets. Fuzzy Sets Syst 203:17–32MathSciNet Pedrycz A, Hirota K, Pedrycz W, Dong F (2012) Granular representation and granular computing with fuzzy sets. Fuzzy Sets Syst 203:17–32MathSciNet
Zurück zum Zitat Qian Y, Liang J, Pedrycz W, Dang C (2010) Positive approximation: an accelerator for attribute reduction in rough set theory. Artif Intell 174(9–10):597–618MathSciNetMATH Qian Y, Liang J, Pedrycz W, Dang C (2010) Positive approximation: an accelerator for attribute reduction in rough set theory. Artif Intell 174(9–10):597–618MathSciNetMATH
Zurück zum Zitat Radzikowska AM, Kerre EE (2002) A comparative study of fuzzy rough sets. Fuzzy Sets Syst 126(2):137–155MathSciNetMATH Radzikowska AM, Kerre EE (2002) A comparative study of fuzzy rough sets. Fuzzy Sets Syst 126(2):137–155MathSciNetMATH
Zurück zum Zitat Shawe-Taylor J, Cristianini N et al (2004) Kernel methods for pattern analysis. Cambridge University Press, CambridgeMATH Shawe-Taylor J, Cristianini N et al (2004) Kernel methods for pattern analysis. Cambridge University Press, CambridgeMATH
Zurück zum Zitat Slowinski R, Vanderpooten D (2000) A generalized definition of rough approximations based on similarity. IEEE Trans Knowl Data Eng 12(2):331–336 Slowinski R, Vanderpooten D (2000) A generalized definition of rough approximations based on similarity. IEEE Trans Knowl Data Eng 12(2):331–336
Zurück zum Zitat Štěpnička M, De Baets B (2013) Implication-based models of monotone fuzzy rule bases. Fuzzy Sets Syst 232:134–155MathSciNetMATH Štěpnička M, De Baets B (2013) Implication-based models of monotone fuzzy rule bases. Fuzzy Sets Syst 232:134–155MathSciNetMATH
Zurück zum Zitat Swiniarski RW, Skowron A (2003) Rough set methods in feature selection and recognition. Pattern Recognit Lett 24(6):833–849MATH Swiniarski RW, Skowron A (2003) Rough set methods in feature selection and recognition. Pattern Recognit Lett 24(6):833–849MATH
Zurück zum Zitat Wang X, Tsang EC, Zhao S, Chen D, Yeung DS (2007) Learning fuzzy rules from fuzzy samples based on rough set technique. Inf Sci 177(20):4493–4514MathSciNetMATH Wang X, Tsang EC, Zhao S, Chen D, Yeung DS (2007) Learning fuzzy rules from fuzzy samples based on rough set technique. Inf Sci 177(20):4493–4514MathSciNetMATH
Zurück zum Zitat Woodward PW, Naylor JC (1993) An application of bayesian methods in spc. J R Stat Soc Ser D Stat 42(4):461–469 Woodward PW, Naylor JC (1993) An application of bayesian methods in spc. J R Stat Soc Ser D Stat 42(4):461–469
Zurück zum Zitat Yang S, Yan S, Zhang C, Tang X (2007) Bilinear analysis for kernel selection and nonlinear feature extraction. IEEE Trans Neural Netw 18(5):1442–1452 Yang S, Yan S, Zhang C, Tang X (2007) Bilinear analysis for kernel selection and nonlinear feature extraction. IEEE Trans Neural Netw 18(5):1442–1452
Zurück zum Zitat Yang X, Yao J (2012) Modelling multi-agent three-way decisions with decision-theoretic rough sets. Fund Inform 115(2–3):157–171MathSciNetMATH Yang X, Yao J (2012) Modelling multi-agent three-way decisions with decision-theoretic rough sets. Fund Inform 115(2–3):157–171MathSciNetMATH
Zurück zum Zitat Yao J, Herbert JP (2007) Web-based support systems with rough set analysis. In: International conference on rough sets and intelligent systems paradigms. Springer, pp 360–370 Yao J, Herbert JP (2007) Web-based support systems with rough set analysis. In: International conference on rough sets and intelligent systems paradigms. Springer, pp 360–370
Zurück zum Zitat Yao Y (2007) Decision-theoretic rough set models. In: International conference on rough sets and knowledge technology. Springer, pp 1–12 Yao Y (2007) Decision-theoretic rough set models. In: International conference on rough sets and knowledge technology. Springer, pp 1–12
Zurück zum Zitat Yao Y (2009) Three-way decision: an interpretation of rules in rough set theory. In: International conference on rough sets & knowledge technology Yao Y (2009) Three-way decision: an interpretation of rules in rough set theory. In: International conference on rough sets & knowledge technology
Zurück zum Zitat Yao Y (2010) Three-way decisions with probabilistic rough sets. Inf Sci 180(3):341–353MathSciNet Yao Y (2010) Three-way decisions with probabilistic rough sets. Inf Sci 180(3):341–353MathSciNet
Zurück zum Zitat Yao Y (2011) The superiority of three-way decisions in probabilistic rough set models. Inf Sci 181(6):1080–1096MathSciNetMATH Yao Y (2011) The superiority of three-way decisions in probabilistic rough set models. Inf Sci 181(6):1080–1096MathSciNetMATH
Zurück zum Zitat Yao Y, Zhou B (2010) Naive bayesian rough sets. In: International conference on rough set & knowledge technology Yao Y, Zhou B (2010) Naive bayesian rough sets. In: International conference on rough set & knowledge technology
Zurück zum Zitat Yu H, Liu Z, Wang G (2014) An automatic method to determine the number of clusters using decision-theoretic rough set. Int J Approx Reason 55(1):101–115MathSciNetMATH Yu H, Liu Z, Wang G (2014) An automatic method to determine the number of clusters using decision-theoretic rough set. Int J Approx Reason 55(1):101–115MathSciNetMATH
Zurück zum Zitat Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353MATH Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353MATH
Zurück zum Zitat Zeng A, Li T, Liu D, Zhang J, Chen H (2015) A fuzzy rough set approach for incremental feature selection on hybrid information systems. Fuzzy Sets Syst 258:39–60MathSciNetMATH Zeng A, Li T, Liu D, Zhang J, Chen H (2015) A fuzzy rough set approach for incremental feature selection on hybrid information systems. Fuzzy Sets Syst 258:39–60MathSciNetMATH
Zurück zum Zitat Zhan J, Sun B, Alcantud JCR (2019) Covering based multigranulation (i, t)-fuzzy rough set models and applications in multi-attribute group decision-making. Inf Sci 476:290–318MathSciNet Zhan J, Sun B, Alcantud JCR (2019) Covering based multigranulation (i, t)-fuzzy rough set models and applications in multi-attribute group decision-making. Inf Sci 476:290–318MathSciNet
Zurück zum Zitat Zhang K, Zhan J, Wu W, Alcantud JCR (2019a) Fuzzy \(\beta \)-covering based (i, t)-fuzzy rough set models and applications to multi-attribute decision-making. Comput Ind Eng 128:605–621 Zhang K, Zhan J, Wu W, Alcantud JCR (2019a) Fuzzy \(\beta \)-covering based (i, t)-fuzzy rough set models and applications to multi-attribute decision-making. Comput Ind Eng 128:605–621
Zurück zum Zitat Zhang L, Zhan J, Xu Z (2019b) Covering-based generalized if rough sets with applications to multi-attribute decision-making. Inform Sci 478:275–302MathSciNet Zhang L, Zhan J, Xu Z (2019b) Covering-based generalized if rough sets with applications to multi-attribute decision-making. Inform Sci 478:275–302MathSciNet
Zurück zum Zitat Zhang W, Wu W, Liang J, Li D (2001) Rough set theory and method. Chinese Scientific Publishers, Fuzhou Zhang W, Wu W, Liang J, Li D (2001) Rough set theory and method. Chinese Scientific Publishers, Fuzhou
Zurück zum Zitat Zhang WX, Qiu GF (2005) Uncertain decision making based on rough sets. Publishin of Tsinghua University, Beijing Zhang WX, Qiu GF (2005) Uncertain decision making based on rough sets. Publishin of Tsinghua University, Beijing
Zurück zum Zitat Zhou B, Yao Y, Luo J (2014) Cost-sensitive three-way email spam filtering. J Intell Inf Syst 42(1):19–45 Zhou B, Yao Y, Luo J (2014) Cost-sensitive three-way email spam filtering. J Intell Inf Syst 42(1):19–45
Zurück zum Zitat Zimmermann HJ (1985) Fuzzy set theory: and its applications. Springer, Berlin Zimmermann HJ (1985) Fuzzy set theory: and its applications. Springer, Berlin
Metadaten
Titel
A three-way decision method in a fuzzy condition decision information system and its application in credit card evaluation
verfasst von
Zhaowen Li
Dan Huang
Publikationsdatum
10.05.2019
Verlag
Springer International Publishing
Erschienen in
Granular Computing / Ausgabe 4/2020
Print ISSN: 2364-4966
Elektronische ISSN: 2364-4974
DOI
https://doi.org/10.1007/s41066-019-00172-8

Weitere Artikel der Ausgabe 4/2020

Granular Computing 4/2020 Zur Ausgabe