Open Access Open Access  Restricted Access Subscription or Fee Access

A Survey on Multiobjective Decision Making on Vague Sets

Rupali Rajput, Vivek Jain


This paper provides report of a survey on the vague sets and also multiobjective decision making. As a further fuzzy set theory generalization, the vague set theory can overcome the fuzzy set shortcomings through defining the membership from two different sides of both FALSE and TRUE, rather than only through a value of a single membership. MCDM approach has evolved to accommodate numerous application types. Methods dozens have been developed, with even small variations in the existing approach causing the creation of research of new branches. The MCDM analysis approach performed in this paper provides a clear guide for how MCDM methods should be used in specific situations.

Cite this Article
Rupali Rajput, Vivek Jain. A survey on multiobjective decision making on vague sets. Journal of Advanced Database Management & Systems. 2016; 3(1): 1–8p.


Data mining, vague sets, fuzzy sets, multiobjective decision making

Full Text:



Han J, Kamber M, Data Mining: Concepts and Techniques, 2nd ed., The Morgan Kaufmann Series in Data Management Systems, Jim Gray, Series Editor 2006.

Fayyad UM, Shapiro GP, Smyth P, From Data Mining to Knowledge Discovery in Databases. 0738-4602-1996, AI Magazine (Fall 1996); 17(3): 37–53p.

Frawley, William J.; Piatetsky-Shapiro, Gregory; Matheus, Christopher J.: Knowledge Discovery in Databases: An Overview. AAAI/MIT Press, 1992.

Available at:

Rakesh Agrawal, Sakti Ghosh, Tomasz Imielinski, et al. An Interval Classier for Database Mining Applications, VLDB-92, Vancouver, British Columbia, 1992, 560–573p.

Agrawal R, Imielinski T, Swami AN, Mining Association Rules between Sets of Items in Large Databases. In Proceedings of the 1993 ACM SIGMOD International Conference on Management of Data, 1993, 207–216p.

Türks¸en IB, Tian Y, Combination of Rules and their Consequences in Fuzzy Expert Systems, Fuzzy Set Syst. 1993; 58: 3–40p.

Available at:

Zadeh LA, Outline of a New Approach to the Analysis of Complex Systems and Decision Processes. IEEE T Syst Man Cyb. January, 1973; 3: 28–44p.

Delgado Miguel: Fuzzy Association Rules: An Overview. BISC Conference, 2003.

Gau WL, Buehrer DJ, Vague sets. IEEE T Syst Man Cyb. 1993; 23: 610–614p.

Gau WL, Buehrer DJ, Vague sets. IEEE T Syst Man Cyb. 1993; 23: 610–614p.

Zimmermann HJ, Fuzzy Set Theory and Its Applications, Kluwer Academic Publishers, Second Edition, Boston, MA, 1991.

Kuhn HW, Tucker AW, Nonlinear Programming, Proc. 2nd Berkeley Symp. Math. Stat. Prob. 1951, 481–492p.

Chen SJ, Hwang CL, Fuzzy Multiple Attribute Decision Making: Methods and Applications, Lecture Notes in Economics and Mathematical Systems, No. 375, Sringer-Verlag, Berlin, Germany, 1992.

Putrus P, Accounting for Intangibles in Integrated Manufacturing (nonfinancial justification based on the Analytical Hierarchy Process), Information Strategy, 1990; 6: 25–30p.

Wabalickis RN, Justification of FMS With the Analytic Hierarchy Process, J Manuf Syst. 1988; 17: 175–182p.

Cambron KE, Evans GW, Layout Design Using the Analytic Hierarchy Process, Comput Ind Eng. 1991; 20: 221–229p.

An Lu, Yiping Ke, James Cheng, et al. Mining Vague Association Rules, Department of Computer Science and Engineering The Hong Kong University of Science and Technology Hong Kong, China.

Vivek Badhe, et al. Vague Set Theory for Profit Pattern and Decision Making in Uncertain Data, Int J Adv Comp Sci Appl. 2015; 6(6):

Terrence Shebuel Arvind, et al. Incorporating Vague Set Theory for Decision Making Process in Association Rule Mining, Int J Softw Web Sci. (IJSWS), 2015. 22. An Lu, Wilfred Ng, Handling Inconsistency of Vague Relations with Functional Dependencies, ER'07 Proceedings of the 26th International Conference on Conceptual Modeling, Springer-Verlag Berlin, Heidelberg ©2007, 229–244p.

Anjana Pandey, Pardasani KR, A Model for Mining Course Information using Vague Association Rule, Int J Comp Appl. (0975 – 8887) November 2012; 58(20):

Starr MK, Zeleny M, MCDM - State and Future of the Arts. In M.K. Starr and M. Zeleny (eds.), TIMS Studies in the Management Sciences. Vol 6. Amsterdam, North-Holland, 1977, 5–29p.

Martinson FK. An Application of Multiple Objective Linear Programming to the Formulation of Management Plans for Multiple-use Public Lands. [PhD Thesis], College of Business and Administration, University of Colorado, Colorado, USA, 1977.

Keeney RL, Raiffa H, Decisions with Multiple Objectives: Preference and Value Tradeoffs. New York, John Wiley, 1976.


  • There are currently no refbacks.