Abstract
In this paper, a novel approach for simplifying the obtained if–then rules from decision table by rough set based methods is proposed. This approach can extract main features of objects in different decision classes by remarkable degrees. Using the proposed method, two real world decision-making problems are studied. The first one is for analyzing the main features of Japanese industries. The second is for anatomizing the life situations of senior citizens in Japan. The analysis results show that the proposed method is powerful for piecing out the main features of decision classes in the decision table which has many attributes and objects. The obtained main features can provide deep insight into the situations of objects and are useful for making a decision in the real world.
Similar content being viewed by others
References
Beaubouef T, Petry FE (2005) Representation of spatial data in an OODB using rough and fuzzy set modeling. Soft Comput 9:364–373
Beynon M (2001) Reducts within the variable precision rough sets model: a further investigation. Eur J Oper Res 134:592–605
Bonikowski Z, Bryniarski E, Wybraniec U (1998) Extensions and intentions in the rough set theory. Inf Sci 107:149–167
Bryniarski E (1989) A calculus of rough sets of the first order. Bull Pol Acad Sci 16:71–77
Cao G, Shiu SCK, Wang X (2003) A fuzzy-rough approach for the maintenance of distributed case-based reasoning systems. Soft Comput 7:491–499
Chen D, Zhang W, Yeung S et al (2006) Rough approximations on a complete completely distributive lattice with applications to generalized rough sets. Inf Sci 176:1829–1848
Chen D, Wang C, Hu Q (2007) A new approach to attribute reduction of consistent and inconsistent covering decision systems with covering rough sets. Inf Sci 177:3500–3518
Cios K, Pedrycz W, Swiniarski R (1998) Data mining methods for knowledge discovery. Kluwer, Norwell
Deng TQ, Chen YM, Xu WL et al (2007) A novel approach to fuzzy rough sets based on a fuzzy covering. Inf Sci 177:2308–2326
Greco S, Matarazzo B, Slowinski R (2001) Rough sets theory for multicriteria decision analysis. Eur J Oper Res 129:1–47
Guan YY, Wang HK (2006) Set-valued information systems. Inf Sci 176:2507–2525
Guo P (2008) Simplifying rough set-based if–then rules with remarkable degree. In: Proceedings of the 3rd international conference on intelligent system and knowledge engineering, pp 953–956
Guo P (2009) Rough-set based data mining system and its application. J Jpn Soc Manage Inf 18(1):51–65 (in Japanese)
Guo P, Tanaka H (2003) Decision analysis based on fused double exponential possibility distributions. Eur J Oper Res 148:467–479
Guo P, Tanaka H (2006) Dual models for possibilistic regression analysis. Comput Stat Data Anal 51:253–266
Hedar AR, Wang J, Fukushima M (2008) Tabu search for attribute reduction in rough set theory. Soft Comput 12:909–918
Hu Q, Xie Z, Yu D (2007) Hybrid attribute reduction based on a novel fuzzy-rough model and information granulation. Pattern Recognit 40:3509–3521
Inuiguch M (2005) Several approaches to attribute reduction in variable precision rough set model. In: Modeling decisions for artificial intelligence, pp 215–226
Kryszkiewicz M (1998) Rough set approach to incomplete information systems. Inf Sci 112:39–49
Kryszkiewicz M (2001) Comparative study of alternative types of knowledge reduction in inconsistent systems. Int J Intell Syst 16:105–120
Kumar A, Agrawal D (2005) Advertising data analysis using rough sets model. Int J Inf Technol Decis Mak 4:263–276
Lee JWT, Yeung DS, Tsang ECC (2006) Rough sets and ordinal reducts. Soft Comput 10:27–33
Leung Y, Wu W, Zhang W (2006) Knowledge acquisition in incomplete information systems: A rough set approach. Eur J Oper Res 168:164–180
Li DY, Zhang B, Leung Y (2004) On knowledge reduction in inconsistent decision information systems. Int J Uncertain Fuzziness Knowl Based Syst 12:651–672
Liu M, Chen D, Wu C et al (2006) Reduction method based on a new fuzzy rough set in fuzzy information system and its applications to scheduling problems. Comput Math Appl 51:1571–1584
Luo JX, Shao HH (2006) Developing soft sensors using hybrid soft computing methodology: a neurofuzzy system based on rough set theory and genetic algorithms. Soft Comput 10:54–60
Midelfart H, Komorowski J, Norsett K et al (2004) Learning rough set classifiers from gene expression and clinical data. Fundam Inf 2:155–183
Nguyen HS, Nguyen HS (1999) Rough sets and association rule generation. Fundam Inf 40:383–405
Orlowska E, Pawlak Z (1984) Representation of nondeterministic information. Theor Comput Sci 29:27–39
Orowska E (ed) (1997) Incomplete information: rough set analysis. Studies in fuzziness and soft computing, vol 13. Physica-Verlag, Heidelberg
Pal SK, Skowron A (eds) (1999) Rough fuzzy hybridization: a new trend in decision-making. Springer, Singapore
Pawlak Z (1982) Rough set. Int J Comput Inf Sci 11:341–356
Pawlak Z (1997) Rough set approach to knowledge-based decision support. Eur J Oper Res 99:48–57
Pawlak Z (1998) Rough set theory and its applications to data analysis. Cybern Syst 29:661–688
Pawlak Z (2002) Rough sets and intelligent data analysis. Inf Sci 147:1–12
Pawlak Z (2003) A rough set view on Bayes’ theorem. Int J Intell Syst 18:487–498
Pawlak Z, Skowron A (2007) Rudiments of rough sets. Inf Sci 177:3–27
Peters JF, Skowron A, Suraj Z (2000) An application of rough set methods in control design. Fundam Inf 43:269–290
Polkowski L, Skowron A (eds) (1998) Rough sets in knowledge discovery. Physica-Verlag, Heidelberg
Polkowski L, Tsumoto S, Lin T (eds) (2000) Rough set theory and applications: new developments in knowledge discovery in information systems. Physica-Verlag, New York
Skowron A, Stepaniuk J (1996) Tolerance approximation spaces. Fundam Inf 27:245–253
Slezak D (2002) Approximate entropy reducts. Fundam Inf 53:365–387
Slezak D, Ziarko W (2005) The investigation of the Bayesian rough set model. Int J Approx Reason 40:81–91
Starzyk JA, Nelson DE, Sturtz K (2000) A mathematical foundation for improved reduct generation in information systems. Knowl Inf Syst 2:131–146
Stefanowski J, Wilk S (2001) Minimizing business credit risk by means of approach integrating decision rules and case based learning. J Intell Syst Acc Finance Manage 10:97–114
Tanaka H, Guo P (1999) Possibilistic data analysis for operations research. Physica-Verlag, New York
Tsumoto S (2004) Mining diagnostic rules from clinical databases using rough sets and medical diagnostic model. Inf Sci 162:65–80
Wang GY (2003) Rough reduction in algebra view and information view. Int J Intell Syst 18:679–688
Wu WZ (2008) Attribute reduction based on evidence theory in incomplete decision systems. Inf Sci 178:1355–1371
Wu WZ, Zhang M, Li HZ, Mi JS (2005) Knowledge reduction in random information systems via Dempster–Shafer theory of evidence. Inf Sci 174:143–164
Yao YY (1998) Relational interpretations of neighborhood operators and rough set approximation operators. Inf Sci 101:239–259
Yao Y, Zhao Y (2008) Attribute reduction in decision-theoretic rough set models. Inf Sci 178:3356–3373
Zhong N, Liu J (eds) (2004) Intelligent Technologies for Information Analysis. Springer, Heidelberg
Zhu W (2007) Topological approaches to covering rough sets. Inf Sci 177:1892–1915
Ziarko W (1993) Variable precision rough set model. J Comput Syst Sci 46:39–59
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Guo, P. Rough set feature extraction by remarkable degrees with real world decision-making problems. Soft Comput 14, 1265–1275 (2010). https://doi.org/10.1007/s00500-009-0494-1
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00500-009-0494-1