Method To Group Decision-making Process Based On Lexicographic Preferences And Linguistic Preferences

In recent years, Group decision making has attracted more and more attention. Among them, multi-attribute group decision making becomes an important research in this field of science. The so-called multiple attribute group decision making, is assembled group members’ information to form preference information of a group, and finally, sorting the different selections. It is widely used in various fields such as economy, society, management, and the sorting of supplier selection, project evaluation, investment decision-making and resource allocation, performance evaluation, scientific research evaluation, benefit evaluation and the industrial development, etc. Group decision making is based on group preference, which is usually obtained by individual preference. The expression of individual preference is different, and sometimes it is effectively expressed in function, fuzzy preference relation, parts selection, preference ordering and linguistic preference relations in common. In this paper, the problem of multi attribute group decision making is studied from the following three aspects to study the expression of individual preference and aggregation:1、Propose an aggregation method to group experts’ lexicographic preferences. The lexicographic preference refers to an expert’s preference for a property that cannot be replaced by another attribute preference. A two-stage group preference aggregation method is proposed to make group decision of lexicographic preference: The first stage is the aggregation method of individual experts’ lexicographic attribute preferences. According to individual experts’ lexicographic attributes and objects ranking, and then calculate the group lexicographic attribute preferences. The second stage is the aggregation method of group experts’ lexicographic preferences about objects to choose. According to the multiple experts’ scores about the objects, and then calculate the group scores about them. Combined with group lexicographic attribute preferences, and get the final democratic result of the objects selection.2、Propose an aggregation method to group experts’ linguistic preferences. The fuzzy linguistic preference is to give preference information in the form of linguistic expressions so as to make judgments about things. A two-stage group preference aggregation method is proposed to make group decision of linguistic preference: The first stage is through the LOWA operator to get the weight of each attribute preference, and then get the comprehensive evaluation of each program. The second stage is gather the preference of a number of experts, ant then calculate the scores of different candidates, and finally get the group decision result through the expression of fuzzy linguistic preference.3、Propose an mixed aggregation method to group experts’ lexicographic preferences and linguistic preferences. Using the expression of different types of preference inputting, through the above 1,2 two steps, as well as the cycle algorithm of expert attribute preference in intra-group and between-group, to obtain the preference ranking of the expert group to each attribute. At the same time, the fuzzy linguistic preference is converted to the numerical preference to obtain the cumulative evaluation value of the individual preference. According to the weight of the attribute, the overall evaluation value of the group to each scheme can be obtained, and then choose the optimal scheme from the feasible scheme. The higher the score indicates the preference of the expert group, so as to obtain the results of democracy chosen with the binary preference expression of the mixed group.