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HESITANT FUZZY SET THEORY APPLIED TO FILTERS IN MTL-ALGEBRAS

Jun, Young Bae;Song, Seok-Zun

  • Received : 2014.10.05
  • Accepted : 2014.11.06
  • Published : 2014.12.25

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

References

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Cited by

  1. IDEAL THEORY IN ORDERED SEMIGROUPS BASED ON HESITANT FUZZY SETS vol.38, pp.4, 2016, https://doi.org/10.5831/HMJ.2016.38.4.783
  2. HESITANT FUZZY BI-IDEALS IN SEMIGROUPS vol.30, pp.3, 2015, https://doi.org/10.4134/CKMS.2015.30.3.143
  3. A new type of hesitant fuzzy subalgebras and ideals in BCK/BCI-algebras vol.32, pp.3, 2017, https://doi.org/10.3233/JIFS-161601
  4. Hesitant fuzzy semigroups with a frontier vol.30, pp.3, 2016, https://doi.org/10.3233/IFS-151869
  5. HESITANT FUZZY SEMIGROUPS WITH TWO FRONTIERS vol.31, pp.1, 2016, https://doi.org/10.4134/CKMS.2016.31.1.017
  6. Hesitant fuzzy translations and extensions of subalgebras and ideals in BCK/BCI-algebras vol.32, pp.1, 2017, https://doi.org/10.3233/JIFS-151031
  7. Subalgebras and Ideals of BCK/BCI-Algebras in the Frame-work of the Hesitant Intersection vol.56, pp.2, 2016, https://doi.org/10.5666/KMJ.2016.56.2.371
  8. -Semigroups vol.2018, pp.1687-711X, 2018, https://doi.org/10.1155/2018/5738024

Acknowledgement

Supported by : by National Research Foundation of Korea