Abstract—Weighted correlation coefficient is one of the methods for intuitionistic fuzzy sets based multi-criteria decision making (IFS-MCDM). It uses a method of entropy to find criteria weights for alternatives. Entropy weight that employed the arithmetic operations of addition and subtraction in IFS memberships is used for establishing the weighted correlation coefficient. However, the entropy obtained from the use of the arithmetic operations may deprive the significance of membership degree, non-membership degree and hesitation degree of IFS. This paper proposes a sine function entropy weight for measuring weighted correlation coefficients of IFS-MCDM. An example is given to illustrate the proposed method. The comparison results are also presented to show the feasibility and effectiveness of the proposed sine function entropy weight.

Index Terms—Entropy, correlation coefficient, intuitionistic fuzzy sets, sine function.

The authors are with School of Informatics and Applied Mathematics, Universiti Malaysia Terengganu, 21030 Kuala Terengganu, Malaysia (email: lazim_m@umt.edu.my).

Cite: Wan Khadijah Wan Ismail, Lazim Abdullah, "Weighted Correlation Coefficient with a Trigonometric Function Entropy of Intuitionistic Fuzzy Set in Decision Making," International Journal of Applied Physics and Mathematics vol. 5, no. 3, pp. 199-205, 2015.