As an special intuitionistic fuzzy set defined on the real number set, triangular intuitionistic fuzzy number (TIFN) is a fundamental tool for quantifying an ill-known quantity. In order to model the decision maker's overall preference with mandatory requirements, it is necessary to develop some Bonferroni harmonic mean operators for TIFNs which can be used to effectively intergrate the informa...

In this paper, some series of new intuitionistic fuzzy averaging aggregation operators has been presented under the intuitionistic fuzzy sets environment. For this, some shortcoming of the existing operators are firstly highlighted and then new operational law, by considering the hesitation degree between the membership functions, has been proposed to overcome these. Based on these new operatio...

The aim of this paper is to model the processes of the aggregation of weighted information in a linguistic framework. Three aggregation operators of weighted linguistic information are presented: linguistic weighted disjunction (LWD) operator, linguistic weighted conjunction (LWC) operator and linguistic weighted averaging (LWA) operator. A study of their axiomatic is presented to demonstrate t...

Importance weighted averaging aggregation operators play a key role in utilizations of electronic data and information resources for retrieving, fusing, and extracting information and knowledge, as needed for decision making. Two central issues in the choice of such operators are the kind of importance weighting and the andness (or conjunction degree) of the operator. We present and discuss two...

Intuitionistic fuzzy sets (IFSs) have attracted more and more scholars’ attention due to their powerfulness in expressing vagueness and uncertainty. In the course of decision making with IFSs, aggregation operators play a very important role since they can be used to synthesize multidimensional evaluation values represented as intuitionistic fuzzy values into collective values. This paper propo...

Belief merging aims at defining the beliefs of a group from the beliefs of each member of the group. It is related to more general notions of aggregation from economy (social choice theory). Two main subclasses of belief merging operators exist: majority operators which are related to utilitarianism, and arbitration operators which are related to egalitarianism. Though utilitarian (majority) op...

In most decisional models based on pairwise comparison between alternatives, the reciprocity of the individual preference representations expresses a natural assumption of rationality. In those models self-dual aggregation operators play a central role, in so far as they preserve the reciprocity of the preference representations in the aggregation mechanism from individual to collective prefere...