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http://dx.doi.org/10.5831/HMJ.2014.36.4.813

HESITANT FUZZY SET THEORY APPLIED TO FILTERS IN MTL-ALGEBRAS  

Jun, Young Bae (Department of Mathematics Education, Gyeongsang National University)
Song, Seok-Zun (Department of Mathematics, Jeju National University)
Publication Information
Honam Mathematical Journal / v.36, no.4, 2014 , pp. 813-830 More about this Journal
Abstract
The notions of a (Boolean, prime, ultra, good) hesitant fuzzy filter and a hesitant fuzzy MV -filter of an MTL-algebras are introduced, and their relations are investigated. Characterizations of a (Boolean, ultra) hesitant fuzzy filter are discussed. Conditions for a hesitant fuzzy set to be a hesitant fuzzy filter, and for a hesitant fuzzy filter to be a Boolean hesitant fuzzy filter are provided.
Keywords
MTL-algebra; hesitant fuzzy set; (Boolean, prime, ultra, good) hesitant fuzzy filter;
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