We consider constructive approaches to decision making which allow incomplete preference orders over multiple criteria. Whereas additional preferences may be acquired during the decision making process, the set of criteria is usually kept fixed. In this paper, we study the addition of new criteria and examine how this may refine or even reverse the existing preferences. We identify essential ch...

This paper analyzes conjoint measurement models allowing for intransitive and/or incomplete preferences. This analysis is based on the study of marginal traces induced on coordinates by the preference relation and uses conditions guaranteeing that these marginal traces are complete. Within the framework of these models, we propose a simple axiomatic characterization of preference relations comp...

In real-life group decision-making (GDM) problems, the preferences given by decision-makers(DMs) are often incomplete, because complexity of problems and limitation knowledge DM make it difficult for DMs to take a determined evaluation alternatives. addition, preference relations provided heterogeneous they always have different decision habits hobbies. However, consensus method GDM under incom...

In Group Decision Making, the expression of consistent preferences is often a very difficult task for the experts, specially in decision problems with a high number of alternatives. This difficulty increases when experts are asked to provide their preferences in the form of preference relations because the amount of preference values that are required increases exponentially. This usually leads...

The problem of embedding incomplete into complete relations has been an important topic of research in the context of crisp relations and their applications. Several variations of the acclaimed Szpilrajn’s theorem have been provided, inclusive of the case when some order conditions between elements are imposed on the extension. We extend the analysis of that topic by Alcantud to the fuzzy case....

background diabetes is a common problem with severe complications. the control of diabetes needs a close and honest relationship between patients and health professionals. the views of these two groups might influence the professional relationship. objectives the purpose of this study was to identify the views of diabetic patients versus the views of diabetic care professionals on the content o...

This paper presents an interactive procedure for solving a multiple attribute group decision making (MAGDM) problem with incomplete information. The main properties of the procedure are: (1) Each decision maker is asked to express his/her preference in relation to an additive value model with incomplete preference statements. (2) A rangetyped representation method for utility is used. The range...