The aim of this paper is to study the integration of multiplicative preference relation as a preference representation structure in fuzzy multipurpose decision-making problems. Assuming fuzzy multipurpose decision-making problems under di4erent preference representation structures (ordering, utilities and fuzzy preference relations) and using the fuzzy preference relations as uniform representa...

Inspired by the concept of deviation measure between two linguistic preference relations, this paper further defines the deviation measure of a linguistic preference relation to the set of consistent linguistic preference relations. Based on this, we present a consistency index of linguistic preference relations and develop a consistency measure method for linguistic preference relations. This ...

Intuitionistic preference relations constitute a flexible and simple representation format of experts’ preference on a set of alternative options, while at the same time allowing to accommodate degrees of hesitation inherent to all decision making processes. In comparison with fuzzy preference relations, the use of intuitionistic fuzzy preference relations in decision making is limited, which i...

Preference relations are at the heart of many fundamental concepts in artificial intelligence, ranging from utility comparisons, to defeat among strategies and relative plausibility states, just mention a few. Reasoning about such has been object extensive research wealth formalisms exist express reason them. One formalism is conditional logic, which focuses on reasoning “best” alternatives acc...

Distributed preference relation (DPR) is a way to simultaneously characterize the preferred, nonpreferred, indifferent, and global ignorance degrees of one alternative over another. To make DPRs applicable in decision-making, consistency addressed this paper. Under assumption that any two on set alternatives are independent each other, four rules regarding relationship between designed develop ...

In decision making, in order to avoid misleading solutions, the study of consistency when the decision makers express their opinions by means of preference relations becomes a very important aspect in order to avoid misleading solutions. In decision making problems based on fuzzy preference relations the study of consistency is associated with the study of the transitivity property. In this pap...

In this paper it is presented the use of preference degrees to solve decision-making problems where linguistic preference relations are used to represent decision-makers' opinions. From a linguistic preference relation are deened a linguistic non-dominance degree, a linguistic dominance degree, and a stric domoninance degree, using linguistic quantiiers and the ordered weight linguistic aggrega...

In multiperson decision making situations, it is quite natural that different decision makers who may have different background and knowledge will provide their preferences by different kinds of preference relations. This paper proposes a linguistic multiperson decision making model (LMDMM) based on linguistic preference relations, integrating fuzzy preference relations, different types of mult...

In this paper, we define the concept of incomplete hesitant fuzzy preference relations to deal with the cases where the decision makers express their judgments by using hesitant fuzzy preference relations with incomplete information, and investigate the consistency of the incomplete hesitant fuzzypreference relations and obtain the reliable priority weights. We first establish a goal programmin...