Fuzzy weighted averages and implementation of the extension principle
Fuzzy Sets and Systems
On ordered weighted averaging aggregation operators in multicriteria decisionmaking
IEEE Transactions on Systems, Man and Cybernetics
Extensions of the analytic hierarchy process in fuzzy environment
Fuzzy Sets and Systems
A sequential selection process in group decision making with a linguistic assessment approach
Information Sciences—Intelligent Systems: An International Journal
The ordered weighted averaging operators: theory and applications
The ordered weighted averaging operators: theory and applications
Aggregation operators: new trends and applications
Aggregation operators: new trends and applications
Information Fusion in Data Mining
Information Fusion in Data Mining
Generalized OWA Aggregation Operators
Fuzzy Optimization and Decision Making
Information Sciences—Informatics and Computer Science: An International Journal
Fuzzy Sets and Their Extensions: Representation, Aggregation and Models Intelligent Systems from Decision Making to Data Mining, Web Intelligence and ...
Induced ordered weighted averaging operators
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
A 2-tuple fuzzy linguistic representation model for computing with words
IEEE Transactions on Fuzzy Systems
Uncertain induced aggregation operators and its application in tourism management
Expert Systems with Applications: An International Journal
Generalized power aggregation operators and their applications in group decision making
Computers and Industrial Engineering
Hesitant fuzzy geometric Bonferroni means
Information Sciences: an International Journal
International Journal of Intelligent Systems
Fusion of supervised and unsupervised learning for improved classification of hyperspectral images
Information Sciences: an International Journal
Geometric Bonferroni means with their application in multi-criteria decision making
Knowledge-Based Systems
Information Sciences: an International Journal
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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The power-average (PA) operator and the power-ordered-weighted-average (POWA) operator are the two nonlinear weighted-average aggregation tools whose weighting vectors depend on the input arguments. In this paper, we develop a power-geometric (PG) operator and its weighted form, which are on the basis of the PA operator and the geometric mean, and develop a power-ordered-geometric (POG) operator and a power-ordered-weighted-geometric (POWG) operator, which are on the basis of the POWA operator and the geometric mean, and study some of their properties. We also discuss the relationship between the PA and PG operators and the relationship between the POWA and POWG operators. Then, we extend the PG and POWG operators to uncertain environments, i.e., develop an uncertain PG (UPG) operator and its weighted form, and an uncertain power-ordered-weighted- geometric (UPOWG) operator to aggregate the input arguments taking the form of interval of numerical values. Furthermore, we utilize the weighted PG and POWG operators, respectively, to develop an approach to group decision making based on multiplicative preference relations and utilize the weighted UPG and UPOWG operators, respectively, to develop an approach to group decision making based on uncertain multiplicative preference relations. Finally, we apply both the developed approaches to broadband Internet-service selection.