International Journal of Intelligent Systems and Applications (IJISA)
IJISA Vol. 7, No. 4, 8 Mar. 2015
Cover page and Table of Contents: PDF (size: 342KB)
Multi Criterion Decision Making using Intuitionistic Fuzzy Rough Set on Two Universal Sets
Full Text (PDF, 342KB), PP.26-33
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Author(s)
T. K. Das
1,*
D. P. Acharjya
2
M. R. Patra
3
Index Terms
Rough Set, Solitary Set, Relative Set, Accuracy, Intuitionistic Fuzzy Rough Set, Multi Criteria Decision Making
Abstract
Convergence of information and communication technology has brought a radical change in the way data are collected or generated for ease of multi criterion decision making. The huge data is of no use unless it provides certain information. It is very tedious to select a best option among an array of alternatives. Also, it becomes more tedious when the data contains uncertainties and objectives of evaluation vary in importance and scope. Unlocking the hidden data is of no use to gain insight into customers, markets and organizations. Therefore, processing these data for obtaining decisions is of great challenge. Based on decision theory, in the past many methods are introduced to solve multi criterion decision making problem. The limitation of these approaches is that, they consider only certain information of the weights and decision values to make decisions. Alternatively, it makes less useful when managing uncertain and vague information. In addition, an information system establishes relation between two universal sets. In such situations, multi criterion decision making is very challenging. Therefore, an effort has been made in this paper to process inconsistencies in data with the introduction of intuitionistic fuzzy rough set theory on two universal sets.
Cite This Paper
T. K. Das, D. P. Acharjya, M. R. Patra, "Multi Criterion Decision Making using Intuitionistic Fuzzy Rough Set on Two Universal Sets", International Journal of Intelligent Systems and Applications(IJISA), vol.7, no.4, pp.26-33, 2015. DOI:10.5815/ijisa.2015.04.04
Reference
[1]Pawlak Z. Rough sets. International Journal of Computer and Information Sciences, 1982, 11, p. 341-356.
[2]Pawlak Z. Rough sets: Theoretical aspects of reasoning about data, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1991.
[3]Dubois D, Prade H. Rough fuzzy sets and fuzzy rough sets. International Journal of General System, 1990, 17, p. 191-209.
[4]De S. K. Some aspects of fuzzy sets, rough sets and intuitionistic fuzzy sets, PhD Thesis, IIT-Kharagpur, 1999.
[5]Tripathy B. K. Rough Sets on Intuitionistic Fuzzy Approximation Spaces, In: Proceedings of 3rd International IEEE Conference on Intelligent Systems (IS06), London, 2006, p. 776-779.
[6]Acharjya D. P. and Ezhilarsi L. A knowledge mining model for ranking institutions using rough computing with ordering rules and formal concept analysis, International Journal of Computer Science Issues, 2011, 8(2), p. 417-425.
[7]Acharjya D. P. and Bhattacharjee D. A rough computing based performance evaluation approach for educational institutions, International Journal of Software Engineering and Its Applications, 2013, 7(4), p. 331-348.
[8]Acharjya D. P., Roy Debasrita and Rahaman Md A. Prediction of missing associations using rough computing and Bayesian classification, International Journal of Intelligent Systems and Applications, 2012, 4(11), p 1-13.
[9]Wong S. K. M., Wang L. S. and Yao Y. Y. Interval structure: a framework for representing uncertain information, In: Proceedings of the 8th Conference on Uncertainty in Artificial Intelligence, 1993, p. 336 –343.
[10]Liu G. L. Rough set theory based on two universal sets and its applications, Knowledge Based Systems, 2010, 23, p.110–115.
[11]Atanasov K. T. Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 1986, 20, p. 87–96.
[12]Zadeh L. A. Fuzzy sets, Information and Control, 1965, 8, p. 338–353.
[13]Acharjya D. P. and Tripathy B. K. Intuitionistic fuzzy rough set on two universal sets and knowledge representation, Mathematical Sciences International Research Journal, 2012, 1(2), p. 584-598.
[14]Tripathy B. K. and Acharjya D. P. Approximation of classification and measures of uncertainty in rough set on two universal sets, International Journal of Advanced Science and Technology, Korea, 2012, 40, p. 77-90.
[15]Acharjya D. P. Rough set on two universal sets and knowledge representation, In: Case Studies in Intelligent Computing: Achievements and Trends (Biju Issac and Nauman Israr, Eds.), CRC Press, USA, 2014, p. 79-107.
[16]Hong D. H. and Choi C. H. Multi-criteria fuzzy decision-making problems based on vague set theory, Fuzzy Sets and Systems, 2000,114, p. l03-113.
[17]Chen S. M. and Tan J. M. Handing multi-criteria fuzzy decision-making problems based on vague set theory, Fuzzy Sets and Systems, 1994, 67, p. 163-172.
[18]Pawlak Z. and Slowinski R. Rough set approach to multi-attribute decision analysis, European Journal of Operational Research, 1994, 72, p. 443-459.
[19]Greco S., Matarazzo B. and Slowinski R. Rough sets theory for multicriteria decision analysis, European Journal of Operational Research, 2001, p. 129- 147.