Abstract
Hybrid multiple attribute group decision making involves ranking and selecting competing courses of action available using attributes to evaluate the alternatives. The decision makers assessment information can be expressed in the form of real number, interval-valued number, linguistic variable, and the intuitionistic fuzzy number. All these evaluation information can be transformed to the form of intuitionistic fuzzy numbers. A combined GRA with intuitionistic fuzzy group decision-making approach is proposed. Firstly, the hybrid decision matrix is standardized and then transformed into an intuitionistic fuzzy decision matrix. Then, intuitionistic fuzzy averaging operator is utilized to aggregate opinions of decision makers. Intuitionistic fuzzy entropy is utilized to obtain the entropy weights of the criteria, respectively. After intuitionistic fuzzy positive ideal solution and intuitionistic fuzzy negative ideal solution are calculated, the grey relative relational degree of alternatives is obtained and alternatives are ranked. In the end, a numerical example illustrates the validity and applicability of the proposed method.
Highlights
Multiattribute decision making is an important issue in modern society, which is to select an appropriate option from a set of feasible alternatives with respect to the features of all predefined attributes
Intuitionistic fuzzy set is characterized by a membership function and a nonmembership function as well as a third function that is called the hesitation degree and can depict the fuzzy character of data more detailedly and comprehensively than fuzzy set which is only characterized by a membership function
A number of literatures have discussed the topic of intuitionistic fuzzy values (IFVs) theory which has been widely used in many fields such as multiattribute decision making [11,12,13,14,15,16,17,18,19,20], medical diagnosis [21,22,23], pattern recognition [24,25,26,27,28,29], and clustering analysis [30]
Summary
Multiattribute decision making is an important issue in modern society, which is to select an appropriate option from a set of feasible alternatives with respect to the features of all predefined attributes. Si and Wei [61] introduced a hybrid multiattribute decision-making method which transformed a hybrid decision matrix with exact values, intervals, and linguistic terms into an intuitionistic fuzzy decision matrix and proposed an intuitionistic fuzzy optimization model to obtain the comprehensive evaluation value of each alternative, which is represented by intuitionistic fuzzy numbers. Chen et al [64] proposed an approach based on fuzzy preference relationship to solve the multiattribute decision-making problem whose attributes weights were known, and attributes values included real number, interval number, and fuzzy number.
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