Fuzzy weighted averages and implementation of the extension principle
Fuzzy Sets and Systems
Interactive fuzzy variables and fuzzy decisions
Fuzzy Sets and Systems
On the algebra of interactive fuzzy numbers
Fuzzy Sets and Systems
On the algebra of interactive fuzzy numbers: the continuous case
Fuzzy Sets and Systems
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy weighted average: The linear programming approach via charnes and cooper's rule
Fuzzy Sets and Systems
Fuzzy Probability and Statistics (Studies in Fuzziness and Soft Computing)
Fuzzy Probability and Statistics (Studies in Fuzziness and Soft Computing)
Enhanced Karnik-Mendel algorithms
IEEE Transactions on Fuzzy Systems
Toward a generalized theory of uncertainty (GTU)--an outline
Information Sciences: an International Journal
Perceptual reasoning for perceptual computing: a similarity-based approach
IEEE Transactions on Fuzzy Systems
Type-2 fuzzy variables and their arithmetic
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Perceptual Computing: Aiding People in Making Subjective Judgments
Perceptual Computing: Aiding People in Making Subjective Judgments
Type-2 fuzzy sets as functions on spaces
IEEE Transactions on Fuzzy Systems
Fuzzy logic-based generalized decision theory with imperfect information
Information Sciences: an International Journal
Computing with Words: Zadeh, Turing, Popper and Occam
IEEE Computational Intelligence Magazine
Fuzzy logic = computing with words
IEEE Transactions on Fuzzy Systems
Aggregation Using the Linguistic Weighted Average and Interval Type-2 Fuzzy Sets
IEEE Transactions on Fuzzy Systems
Aggregation Using the Fuzzy Weighted Average as Computed by the Karnik–Mendel Algorithms
IEEE Transactions on Fuzzy Systems
Encoding Words Into Interval Type-2 Fuzzy Sets Using an Interval Approach
IEEE Transactions on Fuzzy Systems
Perceptual Reasoning for Perceptual Computing
IEEE Transactions on Fuzzy Systems
Corrections to “Aggregation Using the Linguistic Weighted Average and Interval Type-2 Fuzzy Sets”
IEEE Transactions on Fuzzy Systems
Modeling uncertain variables of the weighted average operation by fuzzy vectors
Information Sciences: an International Journal
The role of fuzzy sets in decision sciences: Old techniques and new directions
Fuzzy Sets and Systems
A reconstruction decoder for computing with words
Information Sciences: an International Journal
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In this paper, some properties of Novel Weighted Averages that are related to the concepts of possibility theory are examined. It is shown that Novel Weighted Averages have certain interpretations in terms of addition of interactive interval or fuzzy constraints. To do this, alternative forms of Novel Weighted Averages are provided. In particular, an alternative form of Novel Weighted Averages represented by the Extension Principle is determined. It is shown that, when fuzzy set models of words are obtained by collecting data from subjects in a Computing with Words setting, interactive addition of fuzzy sets is not a well-defined method, and the optimization problems related to it may have no solutions, although interactive addition is recommended in the literature for solving multicriteria decision making problems and for dealing with uncertain probabilities. On the other hand, Novel Weighted Averages perform a specific normalization that guarantees that they always exist.