Encyclopedia of artificial intelligence, vols. 1 and 2 (2nd ed.)
Encyclopedia of artificial intelligence, vols. 1 and 2 (2nd ed.)
From fuzzy sets to shadowed sets: Interpretation and computing
International Journal of Intelligent Systems - Decision Sciences: Foundations and Applications
Introduction to Interval Analysis
Introduction to Interval Analysis
A study of particle swarm optimization particle trajectories
Information Sciences: an International Journal
Information Sciences: an International Journal
An essay on the linguistic roots of fuzzy sets
Information Sciences: an International Journal
Shadowed sets: representing and processing fuzzy sets
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Granular representation and granular computing with fuzzy sets
Fuzzy Sets and Systems
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Fuzzy sets membership functions are numeric constructs. In spite of the underlying semantics of fuzzy sets which is inherently linked with the higher level of abstraction, the membership grades and processing of fuzzy sets themselves emphasize the numeric facets of all pursuits stressing the numeric nature of membership grades and in this way reducing the interpretability and transparency of results. In this study, we advocate an idea of a granular description of membership functions where instead of numeric membership grades, introduced are more interpretable granular descriptors say, low, high membership, etc.. Granular descriptors are formalized with the aid of various formal schemes available in Granular Computing, especially sets intervals, fuzzy sets, and shadowed sets. We formulate a problem of a design of granular descriptors as a certain optimization task, elaborate on the solutions and highlight some areas of applications.