A New Method of Multi-criteria Group Decision Making Based on Hesitant-valued Intuitionistic Fuzzy and Osculating Value

摘要

This paper integrates the benefits of a intuitionistic fuzzy set (IFS) and a hesitant fuzzy set (HFS) to propose a new hesitant-valued intuitionistic fuzzy set (HVIFS). It retains the advantage of exchanging information in flexibility and exquisiteness, and also depicts the aspects of decision makers' hesitation in the membership degree and uncertainty. Hesitant-valued intuitionistic fuzzy (HVIF) value is able to better match the thinking mode and the real situation of decision makers (i.e. expert group). Considering the HVIFS numerical size depends on the size and stability, combine both of them to put forward a new scoring function. The Osculating Value method is able to reflect that whether the alternatives are close to the positive ideal scheme and away from the negative ideal scheme or not. Moreover, compared with VIKOR and TOPSIS methods, the Osculating Value use information more effectively and allows for a more accurate decision-making. According to these statements, a new approach of multi-attribute group decision making (MAGDM) based on HVIF and Osculating Value is proposed in this paper. In order to illustrate the effectiveness and efficacy of the method, apply it to evaluate a natural disaster emergency logistics scheme and the results showed that it is quite useful.