Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
권호 표지
DOI QR코드

DOI QR Code

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
Download PDF
⟨ Previous Next ⟩

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

References

  1. R. A. Borzooei, S. Khosravi Shoar and R. Americ, Some types of lters in MTL-algebras, Fuzzy Sets and Systems 187 (2012), 92-102. https://doi.org/10.1016/j.fss.2011.09.001
  2. F. Esteva and L. Godo, Monoidal t-norm based logic: towards a logic for left-continuous t-norms, Fuzzy Sets and Systems 124 (2001), 271-288. https://doi.org/10.1016/S0165-0114(01)00098-7
  3. P. Hajek, Metamathematics of Fuzzy Logic, Kluwer Academic Press, Dordrecht, 1998.
  4. V. Torra, Hesitant fuzzy sets, Int. J. Intell. Syst. 25 (2010), 529-539.
  5. E. Turunen, BL-algebras of basic fuzzy logic, Mathware & Soft Computing 6 (1999), 49-61.
  6. Z. Xu and M. Xia, Distance and similarity measures for hesitant fuzzy sets, Inform. Sci. 181 (2011), 2128-2138. https://doi.org/10.1016/j.ins.2011.01.028

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