Fuzzy sets, uncertainty, and information
Fuzzy sets, uncertainty, and information
On ordered weighted averaging aggregation operators in multicriteria decisionmaking
IEEE Transactions on Systems, Man and Cybernetics
Weighted fuzzy pattern matching
Fuzzy Sets and Systems - Mathematical Modelling
Connectives and quantifiers in fuzzy sets
Fuzzy Sets and Systems - Special memorial volume on foundations of fuzzy reasoning
Applications and extensions of OWA aggregations
International Journal of Man-Machine Studies
Characterization of weighted maximum and some related operations
Information Sciences—Intelligent Systems: An International Journal
Direct approach processes in group decision making using linguistic OWA operators
Fuzzy Sets and Systems
A model of consensus in group decision making under linguistic assessments
Fuzzy Sets and Systems
Aggregation of Imprecise and Uncertain Information in Databases
IEEE Transactions on Knowledge and Data Engineering
The ordered weighted Geometric operator: properties and application in MCDM problems
Technologies for constructing intelligent systems
International Journal of Intelligent Systems
International Journal of Intelligent Systems
International Journal of Intelligent Systems
Aggregation Functions: A Guide for Practitioners
Aggregation Functions: A Guide for Practitioners
On generalized Bonferroni mean operators for multi-criteria aggregation
International Journal of Approximate Reasoning
On aggregating uncertain information by type-2 OWA operators for soft decision making
International Journal of Intelligent Systems
Induced generalized intuitionistic fuzzy operators
Knowledge-Based Systems
Uncertain generalized aggregation operators
Expert Systems with Applications: An International Journal
IEEE Transactions on Knowledge and Data Engineering
The quasi-arithmetic intuitionistic fuzzy OWA operators
Knowledge-Based Systems
IEEE Transactions on Fuzzy Systems
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The aim of this paper is to investigate an ordered multiplicative modular geometric operator and its relevant properties. The ordered multiplicative modular geometric operator is a generalized form of the ordered weighted geometric operator which has been designed incorporating the advantages of the geometric mean to deal with ratio judgments and the advantages of the ordered weighted averaging (OWA) operator to represent the concept of fuzzy majority in the process of information aggregation. Besides, the ordered multiplicative modular geometric operator can be seen as a symmetrized multiplicative modular aggregation function, characterized by comonotone multiplicative modularity. It is worth pointing that lots of the existing operators (such as the ordered weighted geometric operator, the weighted geometric operator, the ordered weighted maximum, and the Max and Min operators) can be regarded as the special cases of the ordered multiplicative modular geometric operator, which is of value in developing the theory of geometric operators.