Group decision making with a fuzzy linguistic majority
Fuzzy Sets and Systems
On ordered weighted averaging aggregation operators in multicriteria decisionmaking
IEEE Transactions on Systems, Man and Cybernetics
Fuzzy sets and decision analysis
Fuzzy Sets and Systems - Special issue: fuzzy sets: where do we stand? Where do we go?
The ordered weighted averaging operators
A note on the internal consistency of various preference representations
Fuzzy Sets and Systems - Special issue: Soft decision analysis
A note on the reciprocity in the aggregation of fuzzy preference relations using OWA operators
Fuzzy Sets and Systems - Special issue: Preference modelling and applications
An optimization method for integrating two kinds of preference information in group decision-making
Computers and Industrial Engineering - Special issue: Selected papers from the 27th international conference on computers & industrial engineering
Fuzzy quantifiers in sensitivity analysis of OWA operator
Computers and Industrial Engineering
Linguistic multiperson decision making based on the use of multiple preference relations
Fuzzy Sets and Systems
Computers and Industrial Engineering
A proposed model for measuring the aggregative risk degree of implementing E-learning ERP system
ACS'10 Proceedings of the 10th WSEAS international conference on Applied computer science
Expert Systems with Applications: An International Journal
The quasi-arithmetic intuitionistic fuzzy OWA operators
Knowledge-Based Systems
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Chiclana, Herrera and Herrera-Viedma studied conditions under which the reciprocity property is maintained in the aggregation of reciprocal fuzzy preference relations using the OWA operator guided by a relative linguistic quantifier. In this note, we focus on the reciprocity in the aggregation of fuzzy preference relations (that is, the additive reciprocity is not assumed) using the OWA operator. By defining a reciprocity index for measuring the non-reciprocity degree of fuzzy preference relations, we show that a sufficient (but not necessary) condition under which a ''collective'' fuzzy preference relation, obtained by aggregating a set of ''individual'' fuzzy preference relations using an OWA operator guided by a linguistic quantifier with parameter a and b, has a reciprocity index no greater than the largest of the corresponding ''individual'' reciprocity indexes. Our result is helpful to complete Chiclana et al.'s decision model [F. Chiclana, F. Herrera, E. Herrera-Viedma, Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations, Fuzzy Sets and Systems 97 (1998) 33-48].