Here the weights correspond to the importance of the Many agent based decisions involve an aggregation of individual of the criteria. the satisfaction to multiple criteria. We consider the It is easy to see that this type of aggregation is situation where there exists a prioritization relationship monotonic, if Ci(x) ≥ Ci(y) for all i then C(x) ≥ C(y). over the criteria. In this situation incre...

We introduce a general framework for reasoning with prioritized propositional data by aggregation of distance functions. Our formalism is based on a possible world semantics, where conclusions are drawn according to the most ‘plausible’ worlds (interpretations), namely: the worlds that are as ‘close’ as possible to the set of premises, and, at the same time, are as ‘faithful’ as possible to the...

This paper establishes tight upper and lower bounds on Lipschitz aggregation operators considering their diagonal, opposite diagonal and marginal sections. Also we provide explicit formulae to determine the bounds. These are useful for construction of these type of aggregation operators, especially using interpolation schemata.

The current paper provides a dialectical interpretation of the argumentation-based judgment aggregation operators of Caminada and Pigozzi. In particular, we define discussion-based proof procedures for the foundational concepts of down-admissible and up-complete. We then show how these proof procedures can be used as the basis of dialectical proof procedures for the sceptical, credulous and sup...

The concept of occupational risk assessment is related to the analysis and prioritization hazards arising in a production or service facility risks associated with these hazards; considers health safety (OHS). Elimination reduction an acceptable level analyzed risks, which systematic proactive process, then put into action. Although fuzzy logic-related decision models have been developed applie...

A summary on the symbolic basic arithmetic operators and aggregation operators of linguistic information developed by the authors is presented. In particular, label addition, label diierence, product of a label by a positive real number, and convex combination of labels are shown as the symbolic basic arithmetic operators, and two aggregation operators of linguistic information built using thos...

The Decision Support System (DSS) contains more than one antecedent and the degrees of strength of the antecedents need to be combined to determine the overall strength of the rule consequent. The membership values of the linguistic variables in Fuzzy have to be combined using an aggregation operator. But it is not feasible to predefine the form of aggregation operators in decision-making. Inst...

A crucial issue related to the Atanassov’s intuitionistic fuzzy operators is how to determine their weights. Various weighted methods have been proposed last decades, but it seems that there is no investigation on the monotonous and proportioninvariant properties, which is decisive for aggregation and comparison of Atanassov’s intuitionistic fuzzy values in group decision making. In this paper,...

Two induced aggregation operators with novelly designed TOPSIS order-inducing variables are proposed: Induced Interval-valued Intuitionistic Fuzzy Hybrid Averaging I-IIFHA operator and Induced Interval-valued Intuitionistic Fuzzy Hybrid Geometric I-IIFHG operator. The merit of two aggregation operators is that they can consider additional preference information of decision maker’s attitudinal c...

In the propositional setting, a well-studied family of merging operators are distance-based ones: the models of the merged base are the closest interpretations to the given profile. Closeness is, in this context, measured as a number resulting from the aggregation of the distances to each base of the profile. In this work we define a new familly of propositional merging operators, close to such...