On ordered weighted averaging aggregation operators in multicriteria decisionmaking
IEEE Transactions on Systems, Man and Cybernetics
Topological interpretation of fuzzy sets and intervals
Fuzzy Sets and Systems - Special issue: Interfaces between fuzzy set theory and interval analysis
From fuzzy sets to shadowed sets: Interpretation and computing
International Journal of Intelligent Systems - Decision Sciences: Foundations and Applications
Interval-valued fuzzy sets constructed from matrices: Application to edge detection
Fuzzy Sets and Systems
Representability of binary relations through fuzzy numbers
Fuzzy Sets and Systems
Image thresholding using type II fuzzy sets
Pattern Recognition
Information Sciences: an International Journal
Information Sciences: an International Journal
Expected value method for intuitionistic trapezoidal fuzzy multicriteria decision-making problems
Expert Systems with Applications: An International Journal
International Journal of Approximate Reasoning
A non-local fuzzy segmentation method: Application to brain MRI
Pattern Recognition
A class of fuzzy multisets with a fixed number of memberships
Information Sciences: an International Journal
Shadowed sets: representing and processing fuzzy sets
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IEEE Transactions on Fuzzy Systems
Image segmentation using Atanassov's intuitionistic fuzzy sets
Expert Systems with Applications: An International Journal
On interval type-2 rough fuzzy sets
Knowledge-Based Systems
Topological analysis of knowledge maps
Knowledge-Based Systems
Another approach to soft rough sets
Knowledge-Based Systems
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We show that the classical definition of a fuzzy subset carries additional structures of a topological nature. We look at the concept of a fuzzy subset and its corresponding @a-cuts from an alternative point of view: namely, a fuzzy subset may be interpreted as a nested topology on a crisp set of reference, called a universe. Several kinds of fuzzy subsets associated to this interpretation are analyzed. Other topologies induced by fuzzy subsets are considered, paying special attention to their relationship with total preorders defined on the universe. Moreover, this theoretical approach allows us to provide a unified framework for most of the fuzzy thresholding algorithms that can be found in the literature.