# 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)
• Received : 2014.10.05
• Accepted : 2014.11.06
• Published : 2014.12.25
• 120 28

#### 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

#### Acknowledgement

Supported by : by National Research Foundation of Korea

#### References

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