A MULTIPLE CRITERIA SORTING METHODOLOGY WITH MULTIPLE CLASSIFI CATION CRITERIA AND AN APPLICATION TO COUNTRY RISK EVALUATION

A modification of probabilistic hesitant fuzzy sets and its application to multiple criteria decision making

Probabilistic hesitant fuzzy set (PHFS) is a fruitful concept that adds to hesitant fuzzy set (HFS) the term of probability which is able to retain more information than the usual HFS. Here, we demonstrate that the existing definitions of PHFS are not still reasonable, and therefore, we first improve the PHFS definition. By endowing the set and algebraic operations with a new re-definition of P...

Decision criteria in risk analysis : an application of stochastic dominance with respect to a function

Multiple criteria sorting with a set of additive value functions

We present a new multiple criteria sorting method that aims at assigning actions evaluated on multiple criteria to p pre-defined ordered classes. The preference information supplied by the decision maker (DM) is a set of assignment examples concerning reference actions. Each assignment example specifies a desired assignment for a reference action to one or several contiguous classes. The assign...

Dealing with inconsistent judgments in multiple criteria sorting models

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Duality with multiple criteria and multiple resources

We consider an extension of a linear model studied by Gale, Kuhn and Tucker (GKT) for an optimization problem with multiple criteria and multiple right-hand sides (resources), in which the constraints are nonlinear convex functions. We establish a strong duality result for the above model, of which the GKT result is a special case.