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An Entropy Method for Fuzzy Group Decision-making Problems under Fuzzy Random Information

Gao Yan

Abstract



For the group decision-making problem which attributes values are triangular fuzzy intuitionistic fuzzy numbers with probability, a new method is proposed under random information. Firstly, this paper constructs the new expectation value and score function of the triangular fuzzy intuitionistic fuzzy numbers. Secondly, considering the uncertainty caused by random and fuzziness, using the definition of Deluca and Termini’ hybrid entropy the triangular fuzzy intuitionistic fuzzy numbers’ expectation-hybrid entropy is given. At last, an EHE method for the fuzzy group decision-making is proposed based on the relative entropy. The example shows that the method has a good operability and feasibility.

Keywords


Intuitionistic fuzzy number; triangular fuzzy numbers; expectation value; entropy.

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