Consensus based approaches provide a way to drive group decisions which are more accepted and appreciated by decision makers. Different consensus approaches and methodologies have been proposed to conduct these processes successfully, but there still remain some aspects that must be further studied, such as the use and effects of different aggregation operators to measure consensus in the group...

In this work, we first make a survey of the existing main aggregation operators and then propose some new aggregation operators such as the induced ordered weighted geometric averaging (IOWGA) operator, generalized induced ordered weighted averaging (GIOWA) operator, hybrid weighted averaging (HWA) operator, etc., and study their desirable properties. Finally, we briefly classify all of these a...

Weighted means and ordered weighted averaging (OWA) operators are well-known functions widely used in aggregation processes. Although both are defined through weighting vectors, their behavior is quite different: The weighted means allow to weight each information source in relation to their reliability while OWA operators allow to weight the values according to their ordering. Nevertheless, th...

In this paper, we focus on the aggregation problem for (trust, distrust) couples in trust networks. In particular, we study approaches based on classical and induced ordered weighted averaging (OWA) operators.

In fuzzy decision-making problems, existing methods only indicate assessment values but lack the degrees/levels of credibility regarding in alternatives over attributes due to vagueness and uncertainty human cognitions/judgments for complicated problems. Therefore, degree value shows its importance necessity problem. To enhance values, should be closely related their measures, which make inform...

Because of the complexity of decision-making environment, the uncertainty of fuzziness and the uncertainty of grey maybe coexist in the problems of multi-attribute group decision making. In this paper, we study the problems of multi-attribute group decision making with hybrid grey attribute data (the precise values, interval numbers and linguistic fuzzy variables coexist, and each attribute val...

Abstract A hesitant fuzzy (HF) set is an extension of the sets and a T-spherical (T-SFS) generalization spherical (SFS). HF has significant role for modelling disagreements decision-makers over membership degree element. Also, T-SFS quite effective in uncertainty decision-making (DM) problems. In this paper, we define concept (HT-SF) (HT-SFS) by combining concepts T-SFS, present some set-theore...

In recent work authors have proposed four new aggregation operators for triangular and trapezoidal fuzzy numbers based on means of apex angles [1][2][3][4]. Subsequently authors have proposed [5] a new aggregation operator for TFNs based on the arithmetic mean of slopes of the Land Rmembership lines. In this paper the work is extended and a new aggregation operator for TFNs is proposed in which...

In some multi-attribute decision making (MADM) problems, various relationships among the decision attributes should be considered. This paper investigates the prioritization relationship of attributes in MADM with trapezoidal intuitionistic fuzzy numbers (TrIFNs). TrIFNs are a special intuitionistic fuzzy set on a real number set and have the better capability to model ill-known quantities. Fir...

This paper presents the induced generalized ordered weighted logarithmic aggregation (IGOWLA) operator, this operator is an extension of (GOWLA) operator. It uses order-induced variables that modify reordering process arguments included in aggregation. The principal advantage introduced mechanism consideration highly complex attitude from decision makers. We study some families IGOWLA as measur...