Application of Ranking with Similarity Measure in Multi Criteria Decision Making

Abstract

The aim of this paper is to proposed an application multi criteria decision making in intuitionistic fuzzy sets. Multicriteria decision making is a well known concept that aims to select the best solution among several alternatives in decision making. In this paper; success ranking of schools has been researched in multi criteria decision making. Also the most successful school has been determined among these ranked schools. For this paper have been benefitted from similarity measure for intuitionistic fuzzy sets in multi criteria decision making problem. Each option have been compared with both the positive-ideal solution and the negative-ideal solution. This application could be used in situations that are not dependent on a single criterion.

Keywords

• Intuitionistic fuzzy sets,Distance measure,Decision making

References

1. [1] L.A. Zadeh, Fuzzy Sets , Information and Control, Vol:8, (1965), 338-353.
2. [2] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol:20, No:1, (1986), 87-96.
3. [3] K. Atanassov, Intuitionistic Fuzzy Sets,Theory and Applications, Physica-Verlag Heidelberg, Germany, 1999.
4. [4] E. Szmidt, J. Kacprzyk, Distances Between Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems, Vol:114, No:3, (2000), 505-518.
5. [5] S. Chen, J. Tan, Handling Multicriteria Fuzzy Decision-Making Problems Based On Vague Set Theory, Fuzzy Sets and Systems, Vol:67, (1994), 163-172.
6. [6] J. Yen, Improved Method of Multicriteria Fuzzy Decision-Making Based on Vague Sets. Computer-Aided Design, Vol:39, (2007), 164-169.
7. [7] E. Szmidt, J. Kacprzyk, An Application of Intuitionistic Fuzzy Set Similarity Measures to a Multi-criteria Decision Making Problem, Springer-Verlag Heidelberg,(2006), 314-323.
8. [8] V. Nayagam, S. Muralikrishnan, G. Sivaraman, Multi-criteria Decision-Making Method Based on Interval-valued Intuitionistic Fuzzy Sets. Expert Systems with Applications, Vol:38, (2011), 1464-1467.

9. [9] M. Majumder, Multi Criteria Decision Making, Springer, Chapter 2,(2015), 35-47.
10. [10] H. Bangui, M. Ge, B. Buhnova, S. Rakrak, S. Raghay, T. Pitner, Multi-Criteria Decision Analysis Methods in the Mobile Cloud Offloading Paradigm, Journal of Sensor and Actuator Networks, (2017), 6(25).
11. [11] W.J.M. Kickert, Fuzzy Theories on Decision Making: A Critical Review, Kluwer, Boston, 1978.