The paper presents models and corresponding algorithms for solving fuzzy multicriteria decision making problems. The models use or transform the initial information to fuzzy preference relations by each criterion. These relations possess required properties to solve the problems of choice or ordering of the alternatives. The weights of the criteria are real numbers or weighting functions.

Aggregation of fuzzy relations on alternatives with the help of aggregation operators is considered in two cases: – the weighted coefficients of the criteria are not present in the mathematical formula of the aggregation operators; – a fuzzy preference relation between the criteria importance is given. The main result consists in proving the properties of the aggregated relation in dependence w...

This paper presents a method to construct an interval-valued fuzzy set from a fuzzy set and the representation of the lack of knowledge or ignorance that experts are subject to when they define the membership values of the elements to that fuzzy set. With this construction method, it is proved that membership intervals of equal length to the ignorance associated to the elements are obtained whe...

The problem of consensus reaching in the group decision making situations is considered. Assuming a heterogeneous and linguistic group decision making context various linguistic consensus measures are presented to guide the consensus process. Considering linguistic preference relations to provide experts' opinions, they are deened in three levels of action: level of the pairs alternatives, leve...

We develop some new cases of the induced continuous ordered weighted averaging (ICOWA) operator and study their desirable properties, which are very suitable to deal with group decision making (GDM) with interval fuzzy preference relations. First, we present the consensus indicator ICOWA (CI-ICOWA) operator which uses the consensus indicator of the interval fuzzy preference as the order inducin...

This paper introduces a new approach for decision support. It is characterized by a collaborative decision making process relying on the implicit sharing of preferences and experience between di erent individuals facing similar decision problems. A recommendation principle is described, based on fuzzy ltering methods de ned from individual fuzzy preference relations and fuzzy similarity relatio...

Product configuration provides an important opportunity for taking advantage of a number of the benefits of mass customization. Mass customization is aimed at developing a wide external variety of products to satisfy individual customers, with managed internal diversity to prevent cost proliferation. In this context, we propose an iterative product configuration method applying fuzzy logic whic...

In this work, we present a novel approach to citizen participation system based on consensus reaching processes in the context of Smart Cities. One characteristics Cities is involve citizens their community’s decision-making. The that propose here, allows government representatives raise proposals and permit give opinions about proposed problems. As novelty, can express with different preferenc...

In this paper, we first use a fuzzy preference relation with a membership function representing preference degree forcomparing two interval-valued fuzzy numbers and then utilize a relative preference relation improved from the fuzzypreference relation to rank a set of interval-valued fuzzy numbers. Since the fuzzy preference relation is a total orderingrelation that satisfies reciprocal and tra...

Supplier selection is usually involved a multi-criteria evaluation to assist decision-making. This study proposed a simple method for vendor selection. The proposed procedure utilizes the structure of criteria in analytic hierarchy process (AHP) model and employs consistent fuzzy preference relations (CFPR) to construct the decision matrices. The advantage of CFPR is computational simplicity an...