A group decision making model based on a generalized ordered weighted geometric average operator with interval preference matrices

Two new methods for deriving the priority vector from interval multiplicative preference relations

“…Then, determine whether the interval priority vector derived from this method is suitable to rank alternatives. It is worth noting that all studies [43,44] based on this method have this issue.…”

“…It is worth noting that this acceptable consistency only holds for the expert having the same risk preference for all of his/her interval judgments. Following the works of Liu [41] and Liu and Lan [42], Liu et al [43] researched the interval priority vector from incomplete interval multiplicative preference relations using the building model, and Liu et al [44] developed a group decision-making model for interval additive preference relations by considering the associated interval multiplicative preference relation. Very recently, Dong and Herrera-Viedma [45] introduced a novel and interesting method to address group decision making with linguistic information.…”

Hybrid interval AHP-entropy method for electricity user evaluation in smart electricity utilization

“…In [15], an automatic contingency selection approach was proposed, based on DC power flow calculations using affine arithmetic and considering load and generation uncertainties. Interval algorithms including interval matrices [16][17][18], interval models [19], and interval optimization algorithms [20] have presented, and applied in various power system applications [21][22][23][24][25][26]. In [27], the interval entropy (IE) method was applied in financial engineering analysis to assess the predictability of finance markets; it has potential for power system applications.…”

Group Decision Making Problem by General Convexity or Concavity and Aggregation Process

“…In the next part of this paper we will explore reciprocal properties. Considering decision making problems in the interval fuzzy environment [8,18,21,33] we deal with the inite set of alternatives and an expert providing his/her preference information over alternatives. In the sequel, we will consider a preference relation on a inite set which makes it possible to represent interval-valued fuzzy relations by matrices = [ , ].…”