On ordered weighted averaging aggregation operators in multicriteria decisionmaking
IEEE Transactions on Systems, Man and Cybernetics
Social choice axioms for fuzzy set aggregation
Fuzzy Sets and Systems - Special issue: Aggregation and best choices of imprecise opinions
Group decision making and consensus under fuzzy preferences and fuzzy majority
Fuzzy Sets and Systems - Special issue dedicated to Professor Claude Ponsard
Computers and Operations Research
Direct approach processes in group decision making using linguistic OWA operators
Fuzzy Sets and Systems
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: theory and applications
The ordered weighted averaging operators: theory and applications
Beyond min aggregation in multicriteria decision: (ordered) weighted min, discri-min, leximin
The ordered weighted averaging operators
Applications of the linguistic OWA operators in group decision making
The ordered weighted averaging operators
Computing with words in intelligent database querying: standalone and internet-based application
Information Sciences—Informatics and Computer Science: An International Journal - Special issue computing with words
Fuzzy Sets and Systems - Special issue: Preference modelling and applications
On Compatibility of Interval Fuzzy Preference Relations
Fuzzy Optimization and Decision Making
International Journal of Intelligent Systems
International Journal of Intelligent Systems
A preemptive goal programming method for aggregating OWA operator weights in group decision making
Information Sciences: an International Journal
Computers and Industrial Engineering
Induced ordered weighted averaging operators
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
A linguistic modeling of consensus in group decision making basedon OWA operators
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Including importances in OWA aggregations using fuzzy systems modeling
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
A Consensus Model for Group Decision Making With Incomplete Fuzzy Preference Relations
IEEE Transactions on Fuzzy Systems
Computers and Industrial Engineering
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The aim of this work is to present some cases of the induced linguistic ordered weighted geometry (ILOWG) operators and study their desired properties, which are very suitable to deal with group decision making (GDM) problems involving multiplicative linguistic preference relations. First, the concepts of compatibility index (CI) for two multiplicative linguistic preference relations are defined. Then, we provide some ILOWG operators to aggregate multiplicative linguistic preference relations in GDM problems. In particular, we present the compatibility index ILOWG (CI-ILOWG) operator, which induces the order of argument values by utilizing the compatibility index of experts; and the importance ILOWG (I-ILOWG) operator, which induces the order of argument values based on the importance index of the experts. Next, the reciprocity, consistency and compatibility properties of the collective multiplicative linguistic preference relations obtained by these cases of ILOWG operators are verified. Finally, the aggregation of individual judgements (AIJ) and the aggregation of individual priorities (AIP) provide the same priorities of alternatives by utilizing the row geometric mean method (RGMM) as a prioritization procedure and the ILOWG operators as an aggregation procedure. Our results show that if all the individual decision makers have an acceptable consensus degree, then the collective preference relation is also of an acceptable consensus degree. Moreover, the compatibility index induced linguistic ordered weighted geometric mean complex judgement matrix (CI-ILOWGCJM) guarantees that the group compatibility degree is at least as good as the arithmetic mean of all the individual compatibility degrees. Accordingly, a theoretic basis has been developed for the application of these cases of ILOWG operators in linguistic group decision making. Finally, a numerical example for evaluating criteria of supply selection is given to illustrate the application of the results.