Relation on Hesitation in Intuitionistic Fuzzy Sets and Decision Making

Hesitation defined in intuitionistic fuzzy sets (IFSs) is applied to analyze uncertain information. It plays a crucial role in decision-making processes, capturing the intermediary position between supportive and opposing information. Each membership function is allocated to independent vector coordinate. Hence, hesitation is expressed by the graphical illustration in a two-dimensional space. The result shows distinct comparison between IFSs, and it provides effective information on the hesitation. By the defined membership and nonmembership coordination, their degree are represented by graphical illustration which are composed of four quadrants; quadrant II is directly related with the affirmative degree; quadrant IV is relevant to dissent. Furthermore, hesitation degree is also shown by cross area. With the proposed hesitation measure, Korean congress election example is applied and are reported the reasonable results with the proposed hesitation measure.

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