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Information Sciences: an International Journal
Information Sciences: an International Journal
Information Sciences: an International Journal
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IEEE Transactions on Fuzzy Systems
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IEEE Transactions on Fuzzy Systems
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IEEE Transactions on Fuzzy Systems
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IEEE Transactions on Fuzzy Systems
Fuzzy multiple criteria hierarchical group decision-making based on interval type-2 fuzzy sets
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Uncertainty measures for general Type-2 fuzzy sets
Information Sciences: an International Journal
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Information Sciences: an International Journal
Analytical solution methods for the fuzzy weighted average
Information Sciences: an International Journal
Multi-attribute group decision making models under interval type-2 fuzzy environment
Knowledge-Based Systems
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Information Sciences: an International Journal
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International Journal of Fuzzy System Applications
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Information Sciences: an International Journal
Information Sciences: an International Journal
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Information Sciences: an International Journal
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The focus of this paper is the linguistic weighted average (LWA), where the weights are always words modeled as interval type-2 fuzzy sets (IT2 FSs), and the attributes may also (but do not have to) be words modeled as IT2 FSs; consequently, the output of the LWA is an IT2 FS. The LWA can be viewed as a generalization of the fuzzy weighted average (FWA) where the type-1 fuzzy inputs are replaced by IT2 FSs. This paper presents the theory, algorithms, and an application of the LWA. It is shown that finding the LWA can be decomposed into finding two FWAs. Since the LWA can model more uncertainties, it should have wide applications in distributed and hierarchical decision-making.