Abstract
The aim of this paper is to investigate an approach to multiattribute group decision making with interval intuitionistic trapezoidal fuzzy numbers, in which the decision expert weights are unknown. First, we introduce a distance measure between two interval intuitionistic trapezoidal fuzzy matrixes, and based on the distance between individual matrix and extreme matrix, as well as the average matrix, we obtain the decision expert weights. Second, we utilize the interval intuitionistic trapezoidal fuzzy weighted geometric (IITFWG) operator and the interval intuitionistic trapezoidal fuzzy ordered weighted geometric (IITFOWG) operator to aggregate all individual interval intuitionistic trapezoidal fuzzy decision matrices into a collective interval intuitionistic trapezoidal fuzzy decision matrix and then derive the group overall evaluation values of the given alternatives. Finally, an illustrative example of emergency alternatives selection is given to demonstrate the effectiveness and superiority of the proposed method.
Highlights
In 1986, Atanassov proposed the concepts of the intuitionistic fuzzy set (IFS), which is depicted by a membership function, a nonmembership function, and a hesitancy function [1, 2]
The aim of this paper is to investigate an approach to multiattribute group decision making with interval intuitionistic trapezoidal fuzzy numbers, in which the decision expert weights are unknown
Some authors extended the IFS in another way, which extended a discrete set to a continuous one, such as triangular intuitionistic fuzzy number (TIFN) [12,13,14,15], intuitionistic trapezoidal fuzzy number (ITFN) [16, 17], and interval intuitionistic trapezoidal fuzzy number (IITFN) [18]
Summary
In 1986, Atanassov proposed the concepts of the intuitionistic fuzzy set (IFS), which is depicted by a membership function, a nonmembership function, and a hesitancy function [1, 2]. Wan [24, 25] studied the IITFN in depth He discussed the operational laws and properties of IITFN, giving a series of definitions of it, such as the score function, weighted arithmetic average operator, weighted geometric average operator, and the Hamming and Euclidean distances for interval-valued trapezoidal intuitionistic fuzzy numbers, and established a multiattribute decision making model based on IITFN. This paper proposed a new group decision making methodology based on distance measure to derive the weights of experts, in which the attribute values take the form of interval intuitionistic trapezoidal fuzzy numbers.
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