Abstract
This study proposes a grey-correlation multi-attribute decision-making method based on intuitionistic trapezoidal fuzzy numbers to solve the problem that the attribute weight depends on the various statuses and the attribute values offer multi-attribute decision making in the form of intuitionistic trapezoidal fuzzy numbers. Firstly, this paper gives the definitions of intuitionistic trapezoidal fuzzy numbers, and the distance formula. Then, the grey-correlation coefficient about the intuitionistic trapezoidal fuzzy numbers is obtained through grey-correlation analysis. The correlation degree between different options is obtained through calculation based on the correlation coefficient. With that, the options are ranked based on the values to identify the optimal option. Finally, the result of analysis of examples demonstrates the feasibility and effectiveness of the proposed method.
Highlights
Since the fuzzy set theory was proposed by Zadeh [1] and applied to the multi-attribute decision making, related researches have seen rapid development
In 1986, K.T.Atanassov [2] proposed the concept of intuitionistic fuzzy sets based on the fuzzy set theory
The multi-attribute decision making method based on intuitionistic trapezoidal fuzzy numbers is one of the hot research topics of today
Summary
Since the fuzzy set theory was proposed by Zadeh [1] and applied to the multi-attribute decision making, related researches have seen rapid development. In 1986, K.T.Atanassov [2] proposed the concept of intuitionistic fuzzy sets based on the fuzzy set theory This concept was mainly characterized by consideration of degree of membership, degree of non-membership and hesitancy degree at the same time, which could better reflect the information on three statuses of the participants, such as the certainty, denying degree and hesitancy degree. The multi-attribute decision making method based on intuitionistic trapezoidal fuzzy numbers is one of the hot research topics of today Further probing into such issues provides more objective description of a number of decision making problems. Reference [6,7] defines the desired value and expected scores of intuitionistic trapezoidal fuzzy numbers, and the orderly weighted integration operator, and establishes a multi-attribute group decision making model based on ITFN. Method enriches and develops theory and methods in the multi-attribute decision making problems, and provides a new path to solve the problems with intuitionistic trapezoidal fuzzy multi-attribute decision making that the attribute weights are in different decision-making statuses
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